Fundamental Analysis of Nepalese Stock Exchange Return using Fama French Three Factor Model1
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Transcript of Fundamental Analysis of Nepalese Stock Exchange Return using Fama French Three Factor Model1
Fundamental Analysis of Nepalese Stock Exchange Return using Fama- French
Three Factor Model
1. Introduction:
1.1 Background
After the adoption of economic liberalization in the early 90s, Nepalese
economy has witnessed sharp growth in both financial institution and service
sectors. Further, rise of Initial Public Offering and simultaneous increase in
trading in both volume and transaction at secondary market, has substantially
expanded the capital market with current total market capitalization worth
approximately Rs. 503,500 million. Today there are in total 228 companies
listed in Nepal Stock Exchange that encompasses several industries viz-
Commercial Banks, Finance Companies, Development Bank, Hotels, Hydropower and
Manufacturing Sector. Further 50 different brokers are involved in day to day
trading in stock exchange. In this context Nepalese Stock market has become a
source for large amount of data that can be test bed for analyzing and
verifying several established Portfolio Theories used in Fundamental Analysis
of Capital Market. Besides the Nepalese stock market being characterized by
mostly naïve investors, lack of information and market inefficiency provides
unique perspective for testing different financial models which hitherto has
been performed only in developed market scenario. On this regard this study is
an attempt to test and analyze Nepalese Stock Market using Fama-French Three
Factor Model, Fama and French (1992), and to determine its efficacy and
relevancy in Nepalese context.
1.2 Statement Of Problem
i. Does Nepalese Stock Exchange return can be explained using established
portfolio theories
ii. Can Fama-French Model be applicable in Nepalese Context
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iii. Whether Fundamental Analysis using three-factor model is more pertinent
for Nepalese Stock Market
1.3 Objective
Fama –French Model first devised by Eugene F.Fama and Kenneth R. French , Fama
and French (1992) ,explains the return in stock market based on three risk
factors viz- an overall market, book to market, and size/They found that the
new model was superior in explaining the average stock return in US market
than conventional Capital Asset Pricing Model. Outside of US however the model
has been sparsely tested. In India studies, Connor and Sehgal (2001) , have
shown that empirical result of three factor model appears to hold. Besides, a
strong evidence of its relevancy in global context has been established in
recent study which underlies the significance of local factors. In Nepalese
context, since the market is still fledgling there has been only one reported
study of its return done using the three factor model , Rana (2011). Further
as mutual funds have now entered the market it is important for portfolio
managers to evaluate the stock using latest and innovative model.
Thus the major objectives of this study are:
i. To Test the Fama-French Model in return of Nepalese Stock Exchange
ii. To Verify whether Nepalese stock return corresponds to established
portfolio theories
iii. To attempt to explain the variation and risk factor associated with
the return
iv. To address the seasonality issue in time series stock return
v. To carry out fundamental analysis of stock return using three factor
model
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2. Literature Review
Capital Asset Pricing Model by Sharpe (1964), Lintner (1965) and Mossin
(1968) provides a simple yet powerful framework to explain the relationship
between expected return on an asset and various components of risk
associated with it. The theory builds upon mean variance optimization of
portfolio first suggested by Markowitz (1952) and explains that return
premium of any financial asset over risk free return is directly
proportional to the systematic or non-diversifiable risk of given asset.
The quantum of which is measured by evaluating covariance of asset return
with overall market portfolio. The Sharpe-Lintner-Mossin CAPM equation can
be mathematically represented as:
E (Ri)=Rf+[E (Rm)−Rf ]βi .......................i)
βi= Cov(Ri,Rm ¿/σ2 ............................. ii)
where,
E (Ri)=¿ Expected Return on any Asset
Rf= Risk Free Rate
E (Rm) = Expected Return on Market Portfolio
βi= Asset's market beta that measures sensitivity of
asset's return to market return.
But despite its popularity its empirical validity was questioned since
early stages. For instance Miller and Scholes (1972) highlighted the
statistical errors associated in using individual securities for testing
CAPM. Later the problem was overcome in study by Black, Jensen and Scholes
(1972) by constructing portfolio of all the securities listed in Newyork
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stock exchange. Thus using portfolios rather than individual securities
greatly increased the precision of beta. However the CAPM model relied too
much in unrealistic assumption thus Roll (1977) claimed that CAPM cannot be
validly tested unless true market portfolio is known. According to him
following two scenarios may arise when resorting to market proxy while
evaluating CAPM:
i) Market proxy might be mean variance efficient when in actuality the
true market portfolio may be otherwise.
ii) Market proxy may be mean variance inefficient when in actuality the
true market is efficient.
Later on Fama and French (1992) showed that CAPM failed to explain the cross
section of average return in US stock from 1962- 1990. According to them the
risk premium of security is influenced by multifactor instead of single market
factor as proposed by CAPM. These factors includes size, value of the firm and
market risk. Thus exposure to market, size and value acts as proxy for
sensitivity to risk factors in the return. This assertion corroborated with
Banz (1981) which had indicated that size effect of stock as statistically
significant in explaining return alongside its betas. The study had shown that
over period of 1936-1977 on an average return from holding small stocks was
large. Similarly Rosenberg, Reid and Lanstein (1985) had shown that firms with
high ratios of book value to the market value of common equity have higher
returns than those with low book to market ratios. This was supported by Davis
(1994) that found the relationship between average return and BE/ME in US
stocks extends back till 1941. Fama and French (1995) provided an economic
foundation for the empirical relationship between average stock return and
size, and average stock return and book-to-market equity. The study explained
that the size and BE/ME proxy is directly correlated to profitability and
hence were able to better explain cross-section of average return as
described in Fama and French (1993).
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Mathematically the Fama-French three factor model can be represented by
equation below:
E (Ri)=Rf+[E (Rm)−Rf ]βi+E (SMB )si+E(HML)hi .......................iii)
where,
E(SMB): Small Minus Big represents risk premium associated with size
factor.
E(HML): High Minus Low represents risk premium associated with value
factor
si: sensitivity to size
hi: sensitivity to value
Several studies across various international market has since been carried
out that have either supported or contradicted the three factor model. For
instance Aksu and Onder (2003) showed that size and value effect were proxy
for firm specific risk in Istanbul Stock Exchange. Gaunt(2004) while
studying the application of three factor model in Australian market found
beta to be less than one and HML factor playing significant role in asset
pricing. Also Ajili (2005) suggests three factor model being superior to
CAPM in modeling stock returns in French market. Similarly Connor and
Sehgal (2001) found that all three Fama-French factors, market, size and
value have pervasive returns in Indian Stock market. Bahl (2006) on the
basis of adjusted coefficient of determination (R2) confirmed the efficacy
of three factor model over CAPM in explaining common variation in stock
returns in Indian Stock Exchange. The study showed that the adjusted R2 for
three factor model being 87% meanwhile CAPM being just 76%. Taneja (2010)
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indicated that though the efficiency of three factor model as being good
predictor cannot be ruled out in Indian context , there appears high degree
of correlation between the size and value factor returns.
In Nepal the capital market began back to 1936 when the shares of
Biratnagar Jute Mills Ltd was floated. As outlined in brief history of
Nepalese capital market in Gurung (2004) , the Security Exchange Centre
was established for promoting growth in capital market. It operated under
the Security Exchange Act that was enforced in 1984. In 1993 after the
establishment of multi-party democratic system the SEC was restructured and
policy level was divided into two distinct entities Security Board Of Nepal
(SEBON) and Nepal Stock Exchange (NEPSE). Since January 13, 1994 NEPSE
began its trading floor using "open out-cry" system for transactions. Thus
NEPSE being an emerging market having existed for only over one and half
decade, there hasn't been much study regarding the risk return relationship
among its trade. Dangol (2009) shows that Nepalese stock market is not
efficient in weak form. Besides Dangol (2008) indicates that swing in NEPSE
is highly correlated with political events and hence there is significant
linkage between common stock returns and political uncertainty. Further
study by Dangol (2009) shows that capital appreciation is principal
motivation for Nepsalese in general to invest in stock market. Meanwhile
according to (Chhatkuli 2010) while analyzing NEPSE in period of 1998-
2008, CAPM failed to predict the relationship between risk and return in
Nepalese market. Recently the study by Rana (2011) shows that though the
firm size does not explain the common stock return in context of Nepalese
market , the role of book-to-market equity and stock beta however appears
significant. Thus indicating the relevancy of three factor model in
Nepalese context.
3. Research Methodology
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The study type employed is correlation quantitative approach Walliman (2001)
and Clarke (2005), which attempts to explore and investigate possible
relationship of Nepalese stock exchange with market return, value factors and
size factor.
3.1 Method of Data Collection
Documentary method of data collection was employed for the study. All the
documents containing the data pertaining to Nepalese Stock market from 2002 to
2012 , available in the official website of Nepalese Stock Exchange were
collected. Meanwhile the risk free rate of return of the prevailing government
treasury bill for the period of 2007 Aug to 2012 Jul available in the
official website of central bank of Nepal (www.nrb.org.np) were also collected
in excel sheet.
Since the study requires both the stock returns and the risk free rate the
study period was thus selected from August 2007 to Jul 2012. The list of
enlisted companies in NEPSE for the study period were first enumerated from
the website in an excel sheet. From among them A listed companies with their
financial information regarding book value at the end of year were selected
for the study. Following table shows the number of company that were in
listed and number of company with available book value during each fiscal year
for which study was carried out.
Table 1 Data listed companies
2007-
2008
2008-
2009
2009-2010 2010-
2011
2010-
2012No. of Enlisted Company 142 159 176 207 216No. of A listed company
with available book value
67 71 62 116 116
The name of companies whose data were used in given fiscal years is listed in
Appendix A.
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The data included were monthly stock returns of the company, yearly market
capitalization, yearend book value of A listed companies and the risk free
rate of return for the period of 60 months.
3.2 Data Validation
For the purpose of data validation financial data such as book value was cross
check against the annual reports of the five random companies viz- Nabil Bank
Ltd, Nepal telecom, Laxmi Bank, SIddhartha Insurance and KIST bank. All the
figures in annual report were matched with the data recorded from Nepal Stock
Exchange. The validation showed consistent observation thus justifying the
validity of data. The excerpt of annual report containing financial data is
presented in Appendix B.
3.3 Construction of size and value portfolio:
As required by the Fama -French Model the Factor portfolios based on Size and
Value was constructed using following steps Bahl (2006):
Step1: For each financial year ( July of year 't' to June of year 't+1' )
of given sample period the stocks was split into two group on the basis of
size. - Small (S) and Big(B) . Where the small stocks comprises of those
whose market capitalization lie below the median value of included stock and
Big comprise those which are above the median.
Step2: For each financial year ( July of year 't' to June of year 't+1' )
of given sample period the stocks on the basis of value will be split into
three BE/ME groups- Low(L), Medium (M), High (H) ; where L represents lower
30%, M represents middle 40% and H represents upper 30% of the value of BE/ME
for the stocks of sample.
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Step3: The six different portfolios- S/L, S/M, S/H, B/L, B/M, B/H was
constructed by intersecting the stocks in two size and three value groups as
computed from Step1 and Step3. The intersection of both size and value stocks
for the period of Aug 2007 to Jul 2012 from the stock is shown in Appendix
A . From among them three companies were randomly selected from each
intersection set to construct sample portfolio of all six types. The selected
stocks are listed in Appendix C.
Step4: Small Minus Big (SMB) factor which is meant to mimic the risk
associated with the size was obtained by subtracting the average monthly
return of three Big portfolios by average return of three small portfolios as
given by following relation:
SMB = (S/L +S/M +S/H)/3 - (B/L+B/M+B/H)/3 ................v)
Step 5: High Minus Low (HML) factor which is meant to mimic the risk
associated with the value was be obtained by subtracting the average monthly
return of two Low Portfolio from average return of two High portfolio as given
by following relation:
HML = (S/H + B/H) /2 - (S/L+B/L)/2 .......................vi)
4. DISCUSSION
4.1 Descriptive analysis
After collecting the data the analysis was done using the methodology as
stated in section 3.2 and 3.4. Number of stocks selected, the median market
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cap and the median BE/ME value for each financial year is as tabulated below
in Table 2.
Table 2
Year No. of
Companies
Selected
Median Market Cap
BE/ME30th
percentile
70th
percentile
Aug 2007- Jul
2008
67 Rs. 379348000 0.119772 0.41848
Aug 2008- Jul
2009
71 Rs. 504900000 0.148514 0.369939
Aug 2009- Jul
2010
62 Rs. 401700000 0.321645 0.56899
Aug 2010- Jul
2011
116 Rs. 314825040 0.526424 0.84915
Aug 2011- Jul
2012
116 Rs. 191867550 0.676166 1.057019
The result shows that the due to downward trend in share prices median market
cap has been falling in last three years and similarly the book to market
ratio has been rising thus indicating the undervalue of stocks in general.
After determining the median parameters the stocks in each year were
independently assorted to intersection of six different portfolio of S/L, S/M
,S/H , B/L, B/M, B/H as shown in Appendix C (Panel a- Panel e).The
intersection was done by running inner join query in MS-Excel the specimen of
which is given in Appendix I. From among them the top three from Big stocks
and bottom three from small stocks were selected to compute the average SMB
and HML parameter for each year. It should be noted that no company assorted
15
into S/L category for period of 2007 Aug - 2011 Jul. The selected stocks for
each portfolio is for different fiscal year is given in Appendix D.
The preliminary descriptive analysis of all the portfolios done using SPSS
17.0 showed result tabulated in following table:
Table 3 (Average Monthly Return of various portfolio between Aug 2007 - Jul
2012)
Portfolio
s
Mean Std. Deviation Skewness Kurtosis
B/L
return
-.0069542078 .09447987445 .141 .956
B/M
return
.0562649349 .27482881838 4.534 23.253
B/H
Return
-.0188578160 .13326598611 2.526 11.382
S/L
Return
.0004668171 .02866563761 3.853 27.450
S/M
return
.0121570987 .10035026969 2.564 9.787
S/H
Return
-.0065826018 .08674339150 .810 3.250
Rm-Rf -.0104198298 .08368890765 .591 .372SMB -.0095727053 .11035779470 -2.701 12.714HML -.0073232543 .08712751846 1.441 4.200
16
The above result shows that in the given period the average return of big
portfolio is greater than that of small portfolio which is contrary to the
Fama and French (1992). But this result is largely skewed by the presence of
more than 5% positive return by B/M ratio. Besides the standard error of the
B/M portfolio is even large thus it is difficult to draw any conclusion on
this regard. Meanwhile in context of value stocks in both big and small group
it appears that the average return increases from the Low to Medium and then
fall in case of High return. This observation is again in contrary to Fama and
French (1992) but is very much in line with Bahl (2006) that reports similar
phenomena in context of Indian stocks.
Table also shows that the average excess market return (Rm-Rf) is negative but
the portfolio B/M , S/L and S/M has shown positive gains which indicates that
the market is not efficient.. Further the Kurtosis value is significantly
greater than zero which indicates that the returns are not normally
distributed.
Likewise the analysis of Pearson correlation as shown in Table 3 indicates
significant negative correlation among Excess market return (Rm-Rf) and Size
factor (SMB) meanwhile there is no correlation between HML with other two
factors. This result is also very much similar to that of Bahl(2006). Further
insignificant correlation between SMB and HML shows that the Size stocks are
free of BE/ME effect and Value stock is immune from size. This finding is
reflective of similar finding by Davis, Fama and French (1999).
Table 4 Correlation between three factors
Rm-Rf SMB HMLRm-Rf Pearson
Correlation
1 -.488** .027
Sig. (2-tailed) .000 .838
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N 60 60 60SMB Pearson
Correlation
-.488** 1 -.093
Sig. (2-tailed) .000 .478N 60 60 60
HML Pearson
Correlation
.027 -.093 1
Sig. (2-tailed) .838 .478 N 60 60 60
**. Correlation is significant at the 0.01 level (2-tailed).
4.2 Seasonality Check
Technical analysis of US stocks especially shows the so called January effect
where the small stocks outperform broader market as indicated by tax-loss
selling hypothesis by Keim (1983). This implies a general practice by which
investors sell stock at loss in order to offset gains from other profitable
venture in order to decrease the incomet ax liability. Similarly Connor and
Shegal (2001) indicates Diwali effect that correlates to selling stock during
festivities. In this context it was pertinent to perform seasonality check in
context of Nepalese stock as well. Generally there is intuition that in month
of October during time of national festival Dashain there may be seasonality.
The table 4 shows the regression result of return in all the six portfolio
and the three factor portfolio on dummy variable that is 1 in month off
October and 0 in other month. Seasonality is indicated if the coefficient of
b is significant. The result shows that none of the portfolio shows
significant seasonality.
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Table 5 Seasonality Check with Dashain Festival ( Rt = a + b October (t)]
Portfolios A b t(a) t(b) sig(a) sig(b)B/L -.006 -.008 -.492 -.171 .625 .864B/M .056 .008 1.489 .058 .142 .954B/H -.019 .004 -1.060 .069 .293 .945S/L .001 -.003 .185 -.225 .854 .823S/M .014 -.028 1.065 -.596 .291 .554S/H -.009 .033 -.798 .820 .428 .416Rm-Rf -.012 .016 -1.037 .415 .304 .680
SMB -.010 .001 -.645 .024 .522 .981HML -.009 .021 -.769 .519 .445 .606
Table 6 Seasonality Check with July ( Rt = a + b July (t)]
a B t(a) t(b) sig(a) sig(b)B/L -.020 .157 -1.758 3.974 .084 .000B/M .066 -.116 1.775 -.899 .081 .372B/H -.016 -.031 -.901 -.489 .371 .626S/L .000 .008 -.059 .622 .953 .536S/M .012 .006 .852 .137 .398 .892
S/H -.007 .006 -.603 .157 .549 .876Rm-Rf -.020 .109 -1.843 2.978 .071 .004SMB -.010 .002 -.646 .029 .521 .977HML .000 -.092 .028 -2.336 .978 .023Similarly in Nepal the fiscal year ends in month of July when all tax filing
needs to be done. Thus the seasonality check was done by regressing the
returns of portfolio on dummy variable of July as 1. The result is tabulated
in Table 5 which shows that the seasonality thus exist among Excess Market
19
Return (Rm-Rf) , B/L and HML portfolio. This indicates possible tax-loss
hypothesis being applicable in Nepalese context as well.
4.4 Fitting the Fama French Model
The study tested Fama-French Model using the standard multivariate linear
regression model as explained in Campbell, Lo and Mackinlay (1997). The linear
regression model is given by following relation
Rjt−Rft=aj+mj (Rmt−Rft )+sjSMBt+hjHMLt+∈t ............... vii)
where Rjt−Rft: excess return on jth portfolio on time 't'
Rmt−Rft: excess market return on jth portfolio on time 't'
SMBt: return on size factor portfolio on time 't'
HMLt: return on value factor portfolio
mj,sj,hj: market, size and value factor exposure
aj: intercept that indicates abnormal return on portfolio
∈t: mean zero asset specific return of portfolio 'j'
The hypothesized model thus illustrated above requires that aj term be zero
and ∈t be independently and identically distributed as a normal distribution
with zero mean and constant variance. Therefore ∈t is a purely random or white
noise process , Gujrati (2007). Further by forcefully setting the factor
exposure parameters to zero several different variant of Fama French model can
be obtained. Appendix D provides the data used in fitting the regression
model.
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4.5 Checking Multicollinearity
But before fitting the data with the model it is essential to check whether
the data suffers from the multicollinearity or not whose presence will violate
basic assumption of ordinary least square . As a result our least square
calculation will produce over estimation. In order to test muticollinearity
Variance Inflating Factor (VIF) was computed for all the independent variables
which is illustrated in table 6. Since all the VIF are below 5 it is safe to
conclude that the data doesn't suffer from multicollinearity
Table 7 Multicollinearity test
Factors Rm-Rf SMB HMLVIF 1.314 1.325 1.009
4.6 Regression Model with Rm-Rf, SMB and HML as explanatory variables
The fitted regression model as suggested by relation vii) is illustrated in
table 7.
Table 8 Excess return on portfolio Vs (Rm-Rf, SMB, HML)
Dependent Portfolio Factors Coefficient t p-valueB/L (Constant) -.010 -1.166 .249
Rm-Rf .563 4.825 .000SMB -.245 -2.759 .008HML -.348 -3.538 .001R Square: .546Adj. R square .521Durbin-Watson 2.468
B/H (Constant) -.015 -1.644 .106Rm-Rf .303 2.410 .019SMB -.364 -3.809 .000HML 1.089 10.294 .000
21
R Square: .735Adj. R square .721Durbin-Watson 1.906
B/M
(Constant) 0.028842 1.240551 0.219944Rm-Rf -0.3886 -1.24255 0.21921SMB -2.07231 -8.70273 5.47E-12HML 0.08312 0.315716 0.753392R Square: 0.614Adj. R square 0.593Durbin-Watson 1.361
S/M
(Constant) .014 1.059 .294Rm-Rf .186 1.062 .293SMB .178 1.334 .188HML .294 1.990 .051R Square: .090Adj. R square .042Durbin-Watson 1.490
S/H
(Constant) -.003 -.272 .786SMB .129 1.320 .192Rm-Rf .276 2.144 .036HML .547 5.044 .000R Square: .346Adj. R square .311Durbin-Watson 2.114
S/L No Estimates
The detail of the analysis from the observation are as follows
4.6.1 Analysis of Significance of factor coefficient
22
The findings shows that different portfolios demonstrate varying degree of
response according to factors. For instance stock variation in both B/L and
B/H portfolio can be best explained by all three market, size and value
factors as they are significant p-value less than 0.05. Meanwhile B/M stock
shows significant contribution in its variation by Size factor. On the other
hand S/H portfolio can be best explained only by both Value factors and market
returns. Likewise the returns of S/M portfolio cannot be explained by any
factors at all. On the other hand S/L data wasn't estimated as there wasn't
enough data. Further in none of the portfolio the constant term is significant
indicating that there is no abnormal profit in any portfolio.
4.6.2 Test of Autocorrelation
The table also shows the test of Autocorrelation using Durbin-Watson
statistics, Durbin and Watson( 1951). It shows that portfolios B/H, B/L and
S/H has DW value between two critical values of 1.5 < d < 2.5 and therefore we
can assume that there is no first order linear auto-correlation in the data.
But the portfolio S/M with d= 1.490 and
portfolio B/M with d=1.361 indicates slight negative autocorrelation. This
suggest possible misspecification of the model that can be due to omission of
certain explanatory variable or inappropriate mathematical model.
4.6.3 Test of Heteroscesdasticity
The ordinary least square assumes that the underlying data be homoscesdastic
that is the variance of error term should be constant for all the observation.
The absence of homoscesdastic condition will result in heteroscesdasticity
which similar to multicollinearity and autocorrelation will cause the ordinary
least square estimates unbiased and inefficient. The basic method for
detecting heteroscesdasticty is the scatter plot between predicted value and
23
the residuals. If pattern appears then it indicates presence of
heteroscesdasticty. The five panels in Apeendix B illustrates the scatter
plot between the predicted value and the residuals for all five portfolios.
All the plots so some inherent pattern thus justifying need for testing the
hetersoscesdasticity. For this purpose Breusch-Pagan and Koenker test were
employed with null hypothesis assumption of Homosecesdasticity. The test used
in SPSS is given in Apendix C.
(H0: homoscesdasticity)
Breusch_Pagan Koenker testVal p-value val p-value
B/L 30.239 .0000 9.423 .0242B/M 40.754 .0000 10.495 0.0148B/H 61.149 .0000 22.223 0.0001S/M 14.513 0.0023 2.941 0.4S/H 1.325 0.7232 0.703 0.8725
The result shows that except for S/H portfolio all other portfolio suffer from
the significant heteroscesdasticity with p-value less than 0.05. This
indicates that the result obtained by simple regression as tabulated in table
7 may not be accurate. Therefore heteroscesdasticity adjusted regression was
performed using the methods HC0, HC1, HC2, HC3 and HC4 method by Hayes and Cai
(2007) was used that produced result as tabulated in table 8.
Table 9 Heteroscedasticity-Consistent Regression Results
B/L Portfolio R-Square Coeff SE(HC) t 0.5458
24
P>|t|Constant -.0101 .0109 -.9276 .3576Rm-Rf .5635 .1996 2.8235 .0066SMB -.2453 .2867 -.8556 .3959HML -.3478 .1834 -1.8968 .0630B/H Portfolio R-Square Coeff SE(HC) t
P>|t|
0.7354
Constant -.0154 .0113 -1.3628 .1784Rm-Rf .3029 .1587 1.9093 .0613SMB -.3644 .3856 -.9451 .
3487HML 1.0890 .2285 4.7663 .0000B/M Portfolio R-Square Coeff SE(HC) t
P>|t|
0.61640
Constant .0288 .0258 1.1198 .2676Rm-Rf -.3886 .3260 -1.1921 .2382SMB -2.0723 .9165 -2.2611 .0277HML .0831 .4941 .1682 .867
0S/H Portfolio R-Square Coeff SE(HC) t
P>|t|
0.3549
Constant -.0026 .0104 -.2516 .8023Rm-Rf .2761 .1445 1.9110 .0611SMB .1295 .1874 .6907 .492
6HML .5469 .1670
3.2747 .0018S/M portfolio R-Square Coeff SE(HC) t 0.0904
25
P>|t|Constant .0138 .0155 .8930 .3757Rm-Rf .1861 .1910 .9741 .3342SMB .1781 .2179 .8174 .4171HML .2937 .2077 1.4140 .1629
The analysis shows that return on B/L portfolio variation can be explained by
market return and value factor. In the mean time the size factor has been
relegated to insignificant. Likewise B/H factor also is influenced only by
market return and value parameters. Meanwhile market factors influence on S/H
portfolio was removed in the adjustment. On the other hand B/M factor remained
dependent on Size while S/M portfolio was again independent from all three
factors. But it has to be noted that upon heteroscesdasity correction the
coefficient of determination remain unchanged. Thus the finding is very much
consistent with Rana (2011) with regard to significant influence of market
and value stock in cross-sectional return of Nepalese stock.
4.6.4 Analysis of Coefficient Of Determination
Coefficient of Determination is the most important measure for testing the
goodness of fit . It computes the percentage of total variation of dependent
variable that can be explained by the regression model. The analysis shows
that depending on the portfolio the coefficient of determination varies
considerably. From table 7 it is possible to discern that the B/H portfolio
can be best explained by the three factor model as 73.54 % of its excess
return variation can be explained by the model. Meanwhile only 9.04% of S/M
portfolio can be explained by the Fama-French model. This variation in finding
necessitates that all the cross section returns be regressed using single
factor CAPM model as well as inclusion of other factors independently so as to
identify which model best fits the stock returns.
26
4.7 CAPM analysis.
Regressing the excess return on portfolio against excess market return using
the following relation
Rjt−Rft=aj+mj (Rmt−Rft )
we obtained following result as shown in table 9
Table 10 Coeffieicnt of Determination in CAPM
B/L B/H B/M S/H S/M
(constant) -0.04 -0.017 0.062 -0.009
0.0
09
p-value constant .704 0.301 0.078 0.447
0.5
04
(Rm-Rf) .712 .568 .949 0.208
0.0
80
p-value Rm-Rf 0.000 .005 0.025 0.125
0.6
15
R square 0.396 0.127 0.083 0.04 0.004Adjusted R square 0.385 0.122 0.068 0.024 -0.013
The result shows that the three portfolio (B/L, B/H and B/M) are consistent
with CAPM model with significant market exposure. Meanwhile S/H and S/M model
do not show significant market exposure. Comparing the result in table 9 with
table 8 in trms of coefficient of determination it is apparent that the Fama-
French model better explain the variation in portfolio returns than CAPM
model. For instance in B/H portfolio the R2 in three factor model is 73.54 %
while that of CAPM model is simply 12.7%. So the result shows the superiority
of Fama-French model over the conventional CAPM model in explaining cross-
sectional market return.
27
4.8 Fitting Fama-French Model with Excess Returns of Individual Stock
The discussion and findings in previous section shows that excess return on
different cross-sectional portfolios in Nepalese Stock Exchange constructed by
intersecting both value and size stocks is better explained by Fama-French
Model than CAPM. So it is intuitive to test the ability of three factor model
in explaining return of individual stock. For this purpose a hetersoscesdastic
adjusted regression was carried out on excess returns of three stocks selected
randomly using both Fama-French and CAPM model whose results are tabulated
below
Table 11 Fitting Fama-French and CAPM on individual stock
Himalayan Bank Ltd Fama-French Result CAPM result Coeff SE(HC) P>|t| Coeff SE(HC) P>|t|
Constant .0043 .0126 .7322
RmRf 1.3401 .2440 .0000
SMB .0181 .1745 .9176
HML .1806 .1386 .1979
0.0028 0.0122 0.8202
1.335 0.1663 0.000
R-sq 0.6380
P-value .0000
0.628
0.000Ace Development Bank Coeff SE(HC) P>|t| Coeff SE(HC) P>|t|
Constant .0065 .0200 .7461
RmRf 1.2045 .2995 .0002
SMB .1939 .3839 .6158
HML .7737 .3487 .0310
-.0023 .0207 .9137
1.1733 .30 .0004
28
R-sq 0.5245
P-value .0.0001
0.3531
0.0004
Chilime Hydropower Coeff SE(HC) P>|t| Coeff SE(HC) P>|t|Constant .0082 .0111 .4631
RmRf .9518 .1484 .0000
SMB -.0803 .1676 .6339
HML .0959 .1752 .5865
.0085 .0104 .4169
1.0054 .1314 .0000
R-sq 0.5790
P-value .0.0000
0.5681
0.0000
The result thus obtained shows that the excess return of all three stock
selected randomly from period between 2007 August to 2012 July has significant
market return factor whereas effect of size and value factor are negligible.
But despite this three factor model better explained the return variance than
the CAPM due to its superior R square value.
5. Limitation
The study since being done for partial fulfillment of MBA requirement may not
have been exhaustive enough for capturing the details of the Nepalese stock
exchange. Besides , since Nepalese stock exchange is characterized by
inefficiency and unavailability of data the research has not been able to
analyze the data at same depth as it has been carried out in US or Indian
Stock Market. For instance according to law and Right To Information Act 2007
it is required that all the publicly traded companies should timely release
the annual report to public domain. However it was discovered that there was
29
truancy in abiding the law strictly. Hence the research dependent only on data
from those companies who have publicly made their data available. Further the
risk free rate pertaining to return on Treasury Bill was also made available
only from 2007 onwards by Nepal Rastra Bank. Hence the study pool was
restricted for period of 60 months from (2007 Aug - 2012 Jul). Meanwhile the
methodology employed used capital gains as the sole returns and didn't account
for dividend and capital gain taxes, thus analysis thus may not be able to
represent the real picture of market while including those left out
parameters. Besides the time limitation imposed for study also impose
restricted opportunity for carrying out research freely. Further because of
lack of similar study in Nepalese context there is no precedence to benchmark
the findings.
6. Conclusion
The study has checked the relevance of Fama-French three factor model in
context of Nepalese stock exchange. Further study also compared and contrasted
three factor model and CAPM in their ability to explain the return of cross
sectional portfolio as well as individual stock. It can be concluded from the
results based on coefficient of determination as discussed in section 4.6 7
shows the superiority of Fama French model over CAPM in explaining the
variation in the return of portfolios. In all five portfolios (B/L, B/M, B/H,
S/M, S/L) three factor model has better explanatory power. However the result
also indicated that Excess market Return and Value factor are apparently more
significant than Size factor in model fitting.
The analysis also showed that the intercept term in the model was
insignificant in all portfolios. Hence it can be concluded that none of the
portfolio yields abnormal excess return over the market.
30
Further as discussed in section 4.7, the randomly selected individual stock
of companies however is significantly dependent only on excess Market returns.
Thus it can be concluded that in case of individual stock unlike cross-
sectional portfolio CAPM model is more suitable due to its low computational
complexity.
Besides the study also checked for the Multicollinearity, Heteroscesdasticity
and Autocorrelation for possible violation of ordinary least square
assumption. The data showed significant heteroscesdasticity which was
corrected to determine the three-factor model.
Also the study tested for the seasonality in Nepalese stock return using the
dummy regression model. The result showed that there is significant
seasonality in month of July thus indicating possibility of tax loss effect in
nepalese stock market. Study also showed that festive season of November there
is no seasonality effect.
Further the study has thoroughly enumerated the steps required to carry out
the research and thus provides the methodological guidelines for similar
studies to be undertaken in future.
Thus it can be concluded that the research was able to fulfill all the
objectives stated in the outset of the study.
7. Recommendation
31
The study is a prelude to further similar asset pricing portfolio model
fitting in context of Nepalese Market. As shown by the results portfolio
constructed using intersecting Small size and Middle value (S/M) couldn't be
explained by both CAPM and three factor model. This situation thus opens
possibility for factor analysis to identify possible underlying parameters
that can better explain the variance in return than established model.
Also the result showed that coefficient of determination for all the portfolios was not very high above (80%) using the Fama-French model. This indicates the possibility of other underlying factors such as momentum that may influence cross sectional portfolio return as suggested by Carhart (1997) .
Further since the study only included the portfolio constructed using common
equity stock there is a possibility of future research of fitting three factor
model in mixed portfolio that includes fixed income assets such as bond,
debenture and preferential shares alongside common stock.
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Banz, R. W., (1981). The Relationship between Return and Market Value of
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Hayes, A. F., & Cai, L. (2007). Using heteroscedasticity-consistent standard
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Statistics 47, 13-37.
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Business,41, pp. 215-229
Rana, S. B. (2011). Stock Beta, Firm Size and Book-To-Market Effects On Cross-
Section of Common Stock Returns In Nepal. The Lumbini Journal of Business and
Economics 1.
Rosenberg, B., Kenneth R. & Ronald L. (1985). Persuasive Evidence of Market
Inefficiency, Journal of Portfolio Management 11, pp. 9-17.
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Taneja, Y. P. (2010). Revisiting Fama French Three Factor Model in Indian
Stock Market, The Journal of Business Perspective, 14, pp. 267 - 274.
Walliman, N (2001). Your Research Project: A step by step guide for first time
researcher. Sage Publication
34
APPENDIX A : Companies selected for different fiscal year with their Market
cap and BE/ME value
Panel A (Companies selected in 2007-2008 with their BE/ME ratio and Market
Cap)
S.No
Company Be/ME Value marketcap
Siz
e
1Nabil Bank Ltd.
0.07931753
6 Low 36259980750 big
2Nepal Investment Bank
Ltd.
0.09566122
4 Low 29495927300 big
3Standard Chartered
Bank Ltd.
0.07498096
6 Low 46497547200 big
4Himalayan Bank Ltd. 0.13370202
Middl
e 24081057000 big
5Nepal SBI Bank Limited
0.11884844
5 Low 13198269201 big
6Everest Bank Ltd
0.09347062
6 Low 11838960000 big
7Bank of Kathmandu
0.06928085
1 Low 14173820550 big
8Nepal Industrial &
Co.Bank
0.10832554
5 Low 10169280000 big
9Machhachapuchhre Bank
Ltd
0.09623715
4 Low 10393888945 big
10Laxmi Bank Limited
0.10643306
4 Low 8147160000 big
11Kumari Bank Ltd
0.13606965
2
Middl
e 9045000000 big
12Siddhartha Bank
Limited
0.11483506
9 Low 9538560000 big
35
13Uniliver Nepal Ltd.
0.06219756
1 Low 3774870000 big
14Chilime Hydro power
Co.
0.17069142
1
Middl
e 11396352000 big
15Nepal Insurance
Co.Ltd.
0.53928571
4 High 359444400
sma
ll
16Himalayan Gen.Insu.
Co.Ltd.
0.57971014
5 High 217350000
sma
ll
17United Insurance Co.
(Nepal)Ltd.
0.65079365
1 High 189000000
sma
ll
18Everest Insurance Co.
Ltd.
0.50144329
9 High 261900000
sma
ll
19Premier Insurance co.
Ltd.
0.72033333
3 High 90000000
sma
ll
20Neco Insurance Co.
1.44155038
8 High 70950000
sma
ll
21Alliance Insurance Co.
Ltd.
0.95402597
4 High 77000000
sma
ll
22Sagarmatha Insurance
Co.Ltd
0.79411764
7 High 171666000
sma
ll
23Nepal Life Insurance
Co. Ltd.
0.07350509
3 Low 4172500000 big
24Life Insurance Co.
Nepal
0.11289525
7 Low 2530000000 big
25Nepal Finance and
Saving Co.Ltd.
0.52393684
2 High 142500000
sma
ll
26NIDC Capital Markets
Ltd.
0.13819089
9
Middl
e 912262500 big
27National Finance Co.
Ltd.
0.19037142
9
Middl
e 1647258900 big28 Nepal Share Markets 0.08003592 Low 7214400000 big
36
Ltd. 8
29Annapurna Finance
Co.Ltd.
0.11004081
6 Low 2963520000 big
30Kathmandu Finance
Limited.
0.66315789
5 High 108157500
sma
ll
31Peoples Finance
Limited.
0.18597997
1
Middl
e 587160000 big
32Citizen Investment
Trust
0.51655251
1 High 262800000
sma
ll
33Nepal Aawas Bikas
Beeta Co. Ltd.
0.22997138
8
Middl
e 493619820 big
34Narayani Finance
Limited
0.13329749
1
Middl
e 744360840 big
35Ace Development Bank
Ltd.
0.13102803
7
Middl
e 2739200000 big
36Gorkha Finance Ltd. 0.6514 High 60000000
sma
ll
37Universal Finance Ltd.
0.59190812
7 High 170418072
sma
ll
38Maha Laxmi Finance
Ltd.
0.12016792
6
Middl
e 952800000 big
39Lalitpur Finance Ltd.
0.30062893
1
Middl
e 603703125 big
40Goodwill Finance Co.
Ltd.
0.19424960
5
Middl
e 316500000
sma
ll
41Paschimanchal Finance
Co. Ltd
0.54767918
1 High 148258000
sma
ll
42Lumbini Finance Ltd.
0.43368421
1 High 171000000
sma
ll
43Siddhartha Finance
Limited 0.11615041 Low 698360000 big
37
44Alpic Everest Finance
Co. Ltd.
0.20695804
2
Middl
e 446160000 big
45United Finance Ltd
0.15914438
5
Middl
e 701250000 big
46International Leasing
& Fin. Co. 0.24047541
Middl
e 878400000 big
47Shree Investment
Finance Co. Ltd
0.28945422
5
Middl
e 381696000 big
48Central Finance Co.
Ltd.
0.20033783
8
Middl
e 577200000 big
49Premier Finance Co.
Ltd
0.31830699
8
Middl
e 146721600
sma
ll
50Nava Durga Finance
Co.Ltd.
0.38924836
6
Middl
e 121025142
sma
ll
51Butwal Finance Ltd
0.12679263
6
Middl
e 719016072 big
52Standard Finance Ltd.
0.15695698
9
Middl
e 675180000 big
53Cosmic Mer.Bank & Fin.
0.63423076
9 High 136592820
sma
ll
54KIST Merchant Bank. &
Fin
0.10974949
9 Low 1996000000 big
55World Merchant Bank
Ltd
0.30303030
3
Middl
e 594000000 big
56Birgunj Finance Ltd
0.08840909
1 Low 958320000 big
57Capital Mer. Bamk &
Fin
0.09606299
2 Low 4089400000 big
58Everest Finance Ltd, 0.6294 High 40000000
sma
ll59 Prudential Bittiya 0.41196363 Middl 137500000 sma
38
Sans 6 e ll
60Royal Mer. Bank.& Fin
0.24112149
5
Middl
e 323204735
sma
ll
61Guheyshwori Mer. Bank.
Fin
0.13952601
2
Middl
e 533543245 big
62Bhajuratna Fin.& Sav.
Co. Ltd.
1.15049180
3 High 42700000
sma
ll
63Development Credit
Bank Ltd.
0.15119298
2
Middl
e 9468748800 big
64Nirdhan Utthan Bank
Ltd.
2.42455223
9 High 105956614
sma
ll
65Chhimek Vikash Bank
Ltd.
0.72803773
6 High 82150000
sma
ll
66Siddhartha Vikash Bank
Ltd
0.07632786
9 Low 1640480625 big
67Sanima Vikash Bank
Ltd. 0.076 Low 4576000000 big
Panel B (Companies selected in 2008-2009 with their BE/ME ratio and Market
Cap)
S.No Company BE/ME Value MarketCap Size
1 Nabil Bank Ltd.
0.04295774
6 Low 47311945530 Big
2 Nepal Investment Bank Ltd.
0.09923631
1 Low 33410116332 Big3 Standard Chartered Bank 0.01826622 Low 56011180640 Big
39
Ltd. 3
4 Himalayan Bank Ltd.
0.06048863
6 Low 21405384000 Big
5 Nepal SBI Bank Limited
0.09331578
9 Low 16596102900 Big
6 Everest Bank Ltd
0.06529124
2 Low 15683031000 Big
7 Bank of Kathmandu
0.09175428
6 Low 14776963250 Big
8 Nepal Industrial & Co.Bank
0.12523090
6 Low 12841804800 Big
9 Machhachapuchhre Bank Ltd
0.25235173
8
Middl
e 6428599380 Big
10 Laxmi Bank Limited
0.15774952
9
Middl
e 11661674382 Big
11 Kumari Bank Ltd
0.23791428
6
Middl
e 7547904000 Big12 Siddhartha Bank Limited 0.1228 Low 8280000000 Big
13 NMB Bank Ltd.
0.22645290
6
Middl
e 5489000000 Big
14 Uniliver Nepal Ltd.
0.02870588
2 Low 3912975000 Big
15 Chilime Hydro power Co.
0.08513117
3 Low 9455616000 Big
16 National LifeInsu. Co.Ltd.
0.21158862
9
Middl
e 789360000 Big
17 Himalayan Gen.Insu. Co.Ltd.
0.84526315
8 High 287280000
Smal
l
18
United Insurance Co.
(Nepal)Ltd.
0.38435374
1 High 176400000
Smal
l
19 Everest Insurance Co. Ltd.
0.86442105
3 High 288562500
Smal
l
40
20 Premier Insurance co. Ltd.
0.72273684
2 High 193800000
Smal
l
21 Sagarmatha Insurance Co.Ltd
0.46492063
5 High 141372000
Smal
l
22
Nepal Life Insurance Co.
Ltd.
0.10560617
8 Low 3885000000 Big
23 Life Insurance Co. Nepal
0.21477941
2
Middl
e 1700000000 Big
24 Lumbini General Insurance
0.76331521
7 High 230000000
Smal
l
25
Nepal Finance and Saving
Co.Ltd. 0.41785 High 120000000
Smal
l
26 NIDC Capital Markets Ltd.
0.13870833
3 Low 1215000000 Big
27 National Finance Co. Ltd.
0.13468571
4 Low 1647258900 Big
28 Nepal Share Markets Ltd.
0.36170212
8
Middl
e 1218240000 Big
29 Annapurna Finance Co.Ltd.
0.25561855
7
Middl
e 2542176000 Big
30 Kathmandu Finance Limited.
0.43457055
2 High 247434000
Smal
l
31 Peoples Finance Limited.
0.38203508
8 High 575995830 Big
32 Citizen Investment Trust
0.34932876
7
Middl
e 584000000 Big
33
Nepal Aawas Bikas Beeta Co.
Ltd.
0.64710204
1 High 338637775
Smal
l
34 Narayani Finance Limited
0.13904121
9 Low 2384352972 Big
35 Gorkha Finance Ltd.
0.39084415
6 High 183414000
Smal
l
41
36 Universal Finance Ltd. 0.30880597
Middl
e 201731640
Smal
l
37 Maha Laxmi Finance Ltd.
0.14851385
4 Low 1143360000 Big
38 Goodwill Finance Co. Ltd. 0.199296
Middl
e 721713125 Big
39
Paschimanchal Finance Co.
Ltd
0.47525597
3 High 148258000
Smal
l
40 Lumbini Finance Ltd.
0.30024955
4
Middl
e 504900000
Smal
l
41 Siddhartha Finance Limited
0.08323157
1 Low 1167499446 Big
42
Alpic Everest Finance Co.
Ltd.
0.46397089
4 High 375180000
Smal
l
43 United Finance Ltd
0.14654791
2 Low 1221000000 Big
44
International Leasing &
Fin. Co.
0.28985245
9
Middl
e 3952800000 Big
45
Shree Investment Finance
Co. Ltd
0.15634760
7
Middl
e 800352000 Big
46 Central Finance Co. Ltd.
0.26172413
8
Middl
e 500638049
Smal
l
47 Premier Finance Co. Ltd
0.31072886
3
Middl
e 162993600
Smal
l
48 Nava Durga Finance Co.Ltd.
0.29362035
2
Middl
e 232989428
Smal
l
49 Butwal Finance Ltd
0.12155038
8 Low 852772560 Big
50 Standard Finance Ltd.
0.36185294
1
Middl
e 493680000
Smal
l
51 World Merchant Bank Ltd
0.28148780
5
Middl
e 295200000
Smal
l
42
52 Birgunj Finance Ltd
0.10461363
6 Low 1125937560 Big
53 Capital Mer. Bamk & Fin
0.18823529
4
Middl
e 2543389040 Big
54 Everest Finance Ltd,
0.64093959
7 High 59600000
Smal
l
55 Prudential Bittiya Sans 0.319
Middl
e 440000000
Smal
l
56 Royal Mer. Bank.& Fin
0.22127272
7
Middl
e 738399200 Big
57 IME Financial Institution
0.12467518
6 Low 2342431278 Big
58
Bhajuratna Fin.& Sav. Co.
Ltd.
1.54053333
3 High 57750000
Smal
l
59
Civil Merchant bittya
sanstha
0.83213367
6 High 194500000
Smal
l
60 ICFC Bittya Sanstha Ltd.
0.24732727
3
Middl
e 1811610350 Big
61 Chhimek Vikash Bank Ltd.
0.36993902
4
Middl
e 101680000
Smal
l
62 Business Dev. Bank Ltd.
0.21783076
9
Middl
e 1365000000 Big
63 Siddhartha Vikash Bank Ltd
0.56557312
3 High 1631850000 Big
64 Sanima Vikash Bank Ltd.
0.16927203
1
Middl
e 3006720000 Big
65 Sahayogi Vikas Bank
0.72653846
2 High 74880000
Smal
l
66 Gurkha Development Bank
0.15697350
1
Middl
e 3441600000 Big
67 Swabalamwan Bikash Bank
0.66265060
2 High 366382667
Smal
l
43
68 Ace Development Bank Ltd.
0.60204081
6 High 2690354016 Big
69 Himchuli Bikash Bank Ltd.
0.09065315
3 Low 1598400000 Big
70 Excel Development Bank
0.68103333
3 High 60000000
Smal
l
71 BiratLaxmi Development Bank
0.30314713
9
Middl
e 367000000
Smal
l
Panel C (Companies selected in 2009-2010 with their BE/ME ratio and Market
Cap)
S.No Company be/me
Valu
e marketcap Size
1 Nabil Bank Ltd.
0.1359060
4 Low
2302340848
0 big
2
Nepal Investment Bank
Ltd.
0.2297872
34 Low
1696983574
5 big
3
Standard Chartered Bank
Ltd.
0.0998871
61 Low
4585627724
4 big
4 Himalayan Bank Ltd.
0.3143627
45 Low 9924314400 big
5 Nepal SBI Bank Limited
0.2627260
46 Low
1229771232
3 big
6 Everest Bank Ltd
0.1611717
79 Low
1041276600
0 big
7 Bank of Kathmandu
0.2455357
14 Low 9930119640 big
8
Machhachapuchhre Bank
Ltd
0.4075531
91
Midd
le 3707290440 big
9 Laxmi Bank Limited
0.2144561
4 Low 6572045280 big
44
10 Kumari Bank Ltd
0.2927350
43 Low 5549719032 big
11 Siddhartha Bank Limited
0.2805405
41 Low 6975817200 big
12 Siddhartha Bank Limited
0.2312837
84 Low 6975817200 big
13 NMB Bank Ltd.
0.3788135
59
Midd
le 4218499705 big
14 DCBL Bank Ltd.
0.4343846
15
Midd
le 4319078400 big
15 KIST Bank Limited
0.5138693
47
Midd
le 3980000000 big
16 Uniliver Nepal Ltd.
0.3386358
16
Midd
le 3819984300 big
17 Chilime Hydro power Co.
0.3448319
71
Midd
le 8032896000 big
18
National LifeInsu.
Co.Ltd.
0.2555761
32 Low 641520000 big
19
Himalayan Gen.Insu.
Co.Ltd.
0.5698717
95 High 235872000 small
20
Everest Insurance Co.
Ltd.
0.5080191
69
Midd
le 316912500 small
21
Premier Insurance co.
Ltd.
0.8882608
7 High 164220000 small
22
Sagarmatha Insurance
Co.Ltd
0.5207395
5
Midd
le 349290942 small
23
Nepal Life Insurance Co.
Ltd.
0.1240705
88 Low 2550000000 big
24 Life Insurance Co. Nepal
0.2002931
03 Low 1450000000 big
25
Lumbini General
Insurance
0.6173333
33 High 206250000 small
45
26
Nepal Finance and Saving
Co.Ltd.
0.6664406
78 High 115050000 small
27
NIDC Capital Markets
Ltd.
0.3883720
93
Midd
le 734713910 big
28 Nepal Share Markets Ltd.
0.9216666
67 High 751680000 big
29
Kathmandu Finance
Limited.
0.9683832
34 High 152103600 small
30 Peoples Finance Limited.
0.5164978
9
Midd
le 700761600 big
31 Citizen Investment Trust
0.4830188
68
Midd
le 530000000 big
32
Nepal Aawas Bikas Beeta
Co. Ltd.
0.5315891
47
Midd
le 432420642 big
33 Gorkha Finance Ltd.
1.2868965
52 High 200512670 small
34 Universal Finance Ltd.
0.7141269
84 High 273136374 small
35 Maha Laxmi Finance Ltd. 0.481875
Midd
le 1209600000 big
36
Goodwill Finance Co.
Ltd.
0.5669333
33
Midd
le 259816725 small
37
Paschimanchal Finance
Co. Ltd
0.8926943
01 High 126955400 small38 Lumbini Finance Ltd. 0.95484 High 281250000 small
39
Siddhartha Finance
Limited
0.2491142
86 Low 608525400 big
40 United Finance Ltd
0.4696258
5
Midd
le 1030837500 big
41
Shree Investment Finance
Co. Ltd
0.3636324
79
Midd
le 707616000 big42 Central Finance Co. Ltd. 0.4175155 Midd 470046262 big
46
28 le
43 Premier Finance Co. Ltd
0.4192542
37
Midd
le 290199760 small
44
Nava Durga Finance
Co.Ltd.
0.6787179
49 High 250062930 small
45 Butwal Finance Ltd
0.2015512
82 Low 644537400 big
46 Standard Finance Ltd.
0.7198876
4 High 1783211298 big
47 World Merchant Bank Ltd
0.9292941
18 High 309264000 small
48 Birgunj Finance Ltd
1.2163978
49 High 781200000 big
49 Prudential Bittiya Sans
0.7797222
22 High 144000000 small
50
IME Financial
Institution
0.2233628
32 Low 1409450130 big
51
Civil Merchant bittya
sanstha
0.6598952
88 High 190860570 small
52 ICFC Bittya Sanstha Ltd.
0.3982720
59
Midd
le 895923664 big
53
Nepal Industrial Dev.
Corp.
1.2130833
33 High 357454080 small
54 Chhimek Vikash Bank Ltd.
0.3564693
88
Midd
le 151900000 small
55 Sanima Vikash Bank Ltd.
0.2281891
35 Low 3816960000 big
56 Sahayogi Vikas Bank
0.5299233
72
Midd
le 156600000 small
57 Gurkha Development Bank
0.2869975
19 Low 2127840000 big58 Swabalamwan Bikash Bank 0.9518987 High 273998860 small
47
34
59
Himchuli Bikash Bank
Ltd.
0.4158095
24
Midd
le 1381174200 big
60 Excel Development Bank
1.2404838
71 High 248000000 small
61
BiratLaxmi Development
Bank
0.4903975
54
Midd
le 179850000 small
62 Subbecha Bikas Bank Ltd.
0.5504528
3
Midd
le 267120000 small
Panel D (Companies selected in 2010-2011 with their BE/ME ratio and Market
Cap)
S.No company BE/ME Value marketcap Size
1 Ace Development Bank Ltd.
0.78014184
4 Medium 1058151279 Big
2 Alliance Insurance Co. Ltd.
1.18406779
7 high 81401238
Smal
l
3 Alpic Everest Finance Co. Ltd.
0.68518072
3 Medium 178682400
Smal
l
4 Annapurna Bikas Bank
0.97415094
3 high 712320000 Big
5 Annapurna Finance Co.Ltd.
0.51691244
2 low 568713600 Big6 Api Finance Limtied 1.13873417 high 189600000 Smal
48
7 l
7
Arun Valley Hydropower Dev Co
Ltd
0.25075342
5 low 1156801800 Big8 Asian Life Insurance Company 0.60017341 Medium 622800000 Big
9 Bageshowori Dev.Bank
0.50411392
4 low 156420000
Smal
l
10 Bank of Asia Nepal Limited
0.55036458
3 Medium 3840000000 Big
11 Bank of Kathmandu
0.30771929
8 low 7749039990 Big
12 Birat Laxmi Devt Bank
0.95884353
7 high 243459636
Smal
l
13 Birgunj Finance Ltd
0.60752873
6 Medium 730800000 Big
14 Business Development Bank Ltd
0.73716312
1 Medium 972984600 Big
15 Butwal Finance Ltd
1.07867256
6 high 253731443
Smal
l
16 Capital Mer. Bamk & Fin
0.74742857
1 Medium 1309097300 Big
17 Central Finance Co. Ltd.
0.42602076
1 low 485154993 Big
18 Chhimek Vikash Bank Ltd.
0.51252873
6 low 299497500
Smal
l
19 Chilime Hydro power Co.
0.49678832
1 low 5997312000 Big
20 Citizen Bank International Ltd
0.49608108
1 low 4440000000 Big
21 Citizen Investment Trust
0.65844444
4 Medium 648000000 Big22 Civil Merchant Bittiya Sanstha 0.701875 Medium 207848160 Smal
49
Ltd l
23
Clean Energy Devlopment Bank
Ltd
0.61916167
7 Medium 1816960000 Big
24 CRYSTAL FINANCE Ltd. 1.10965812 high 81900000
Smal
l
25 DCBL Bank Ltd.
0.76091503
3 Medium 2795772672 Big
26 Everest Bank Ltd
0.30346435
1 low 9085312262 Big
27 Everest Insurance Co. Ltd. 0.51316129 low 313875000
Smal
l
28 Excel Development Bank Ltd.
0.53389285
7 Medium 224000000
Smal
l
29 Fewa Finance Co. Ltd.
0.45644194
8 low 728910000 Big
30 Gandaki Bikash Bank Ltd
0.71578947
4 Medium 342000000 Big
31 Global Bank Ltd
0.49397129
2 low 3135000000 Big
32 Goodwill Finance Co. Ltd.
0.60187845
3 Medium 543000000 Big
33 Gorkha Finance Ltd.
1.43841121
5 high 166608095
Smal
l
34 Gurkha Development Bank
0.46644736
8 low 1203840000 Big
35 Himalayan Bank Ltd.
0.39441739
1 low
1150000000
0 Big
36 Himalayan Gen.Insu. Co.Ltd. 0.84985 high 201600000
Smal
l
37 ICFC Bittiya Sanstha Ltd
0.68078787
9 Medium 543483105 Big38 IME Financial Institution 0.48146341 low 1180374912 Big
50
5
39
Imperial Financial Institution
Ltd
0.97323943
7 high 89815000
Smal
l
40
Infrastructure Development
Bank Ltd
1.05906542
1 high 856000000 Big
41
International Leasing & Fin.
Co.
0.49658536
6 low 1328400000 Big
42 Kaski Finance Limited
0.67795180
7 Medium 348600000 Big
43 Kasthamandap Dev Bank Ltd
1.14097826
1 high 588800000 Big
44 Kathmandu Finance Limited.
0.89225352
1 high 198306692
Smal
l
45 KIST Bank Ltd
0.67393548
4 Medium 3100000000 Big
46
Kuber Merchant Bittiya Sanstha
Ltd
0.84634920
6 Medium 189000000
Smal
l
47 Kumari Bank Ltd
0.51402255
6 low 3627476580 Big
48 Lalitpur Finance Ltd.
0.57447457
6 Medium 554215615 Big49 Laxmi Bank Limited 0.35 low 3920167360 Big
50 Lord Buddha Finance Limited
0.86301369
9 high 243090000
Smal
l
51 Lumbini Bank Ltd.
0.50877828
1 low 2210000000 Big
52 Lumbini Finance Ltd.
1.42602941
2 high 198900000
Smal
l
53 Lumbini General Insurance 0.96671875 high 160000000
Smal
l54 Machhachapuchhre Bank Ltd 0.81947368 Medium 2164171478 Big
51
4
55 Maha Laxmi Finance Ltd.
0.61622222
2 Medium 756000000 Big
56 Malika Devt Bank Ltd
0.75692810
5 Medium 76500000
Smal
l
57 Miteri Development Bank Ltd. 0.905625 high 115568640
Smal
l
58 Nabil Bank Ltd.
0.21166134
2 low
2540024547
2 Big
59
National Life Insurance
Company Ltd 0.34757485 low 440880000 Big
60
Narayani National Finance Co.
Ltd.
0.88193333
3 high 979145400 Big
61 Nava Durga Finance Co.Ltd. 0.8318 Medium 189856050
Smal
l
62 Neco Insurance Co.
1.29464285
7 high 129360000
Smal
l
63
Nepal Aawas Bikas Beeta Co.
Ltd.
0.57046296
3 Medium 362078424 Big
64 Nepal Bangladesh Bank Ltd.
0.88223076
9 high 2418505700 Big
65 Nepal Credit & Com. Bank
0.64802395
2 Medium 2322786300 Big
66 NDEP Development Bank Ltd.
0.97327586
2 high 633516600 Big
67
Nepal Doorsanchar Company
Limited
0.75019093
1 Medium
6285000000
0 Big
68 Nepal Express Finance Ltd
0.66911917
1 Medium 253910800
Smal
l
69
Nepal Finance and Saving
Co.Ltd.
0.96352941
2 high 208397475
Smal
l70 Nepal Industrial & Co.Bank 0.25878846 low 5930496000 Big
52
2
71 Nepal Insurance Co.Ltd.
0.58904624
3 Medium 355336464 Big
72 Nepal Investment Bank Ltd.
0.36959223
3 low
1239640483
5 Big
73 Nepal Life Insurance Co. Ltd.
0.32056537
1 low 1698000000 Big
74 Nepal SBI Bank Limited
0.26125663
7 low
1054889804
0 Big
75 Nepal Share Markets Ltd.
0.59850574
7 Medium 751680000 Big
76 Nerude Laghubitta Bikash Bank
2.63736842
1 high 3895000
Smal
l
77 NIDC Capital Markets Ltd.
0.83369369
4 Medium 493112616 Big
78 Nilgiri Vikas Bank Ltd 0.92380531 high 56500000
Smal
l
79 Nirdhan Utthan Bank Ltd.
0.81974468
1 Medium 306602150
Smal
l
80 NMB Bank Ltd
0.61871794
9 Medium 3900000000 Big
81 Paschimanchal Finance Co. Ltd
0.50949019
6 low 201286800
Smal
l82 Pashupati Dev Bank Limited 1.00875 high 728000000 Big
83 Peoples Finance Limited.
0.51895454
5 low 650496000 Big
84 Pokhara Finance Ltd.
0.68553488
4 Medium 667244760 Big
85 Prabhu Finance Company Ltd
0.79242105
3 Medium 775200000 Big86 Premier Finance Co. Ltd 0.60270270 Medium 267876744 Smal
53
3 l
87 Premier Insurance co. Ltd.
0.96789808
9 high 160140000
Smal
l
88 Prime Commercial Bank Limited
0.56288288
3 Medium 4708620000 Big
89
Prime Life Insurance Company
Ltd
0.73807017
5 Medium 615600000 Big
90 Prudential Finance Company Ltd
0.77449275
4 Medium 138000000
Smal
l
91 Purwanchal Grameen Bikash Bank
0.13667357
5 low 579000000 Big
92 Reliable Finance Ltd
0.89147887
3 high 281160000
Smal
l
93 Resunga Bikas Bank Ltd.
0.89349315
1 high 89352000
Smal
l
94 Royal Mer. Bank.& Fin
0.75476190
5 Medium 503653584 Big95 Sagarmatha Insurance Co.Ltd 0.7034 Medium 387477000 Big
96
Sagarmatha Mer Banking &
Finance Ltd
0.87007246
4 high 362250000 Big
97 Sanima Vikash Bank Ltd.
0.21931589
5 low 3816960000 Big
98 Sewa Bikas Bank Ltd
1.14112149
5 high 123050000
Smal
l
99 Shikhar Bittiya Sanstha Ltd
1.34354545
5 high 110000000
Smal
l
100 Shikhar Insurance Co. Ltd.
0.47503184
7 low 392500000 Big
101
Shree Investment Finance Co.
Ltd
0.34609947
6 low 442814400 Big102 Siddhartha Bank Limited 0.45322222 low 4242051000 Big
54
2
103
Siddhartha Development Bank
Limited 0.87605042 high 767550000 Big
104 Siddhartha Finance Limited
0.77313725
5 Medium 266526000
Smal
l
105 Siddhartha Insurance Limited
1.10161904
8 high 105000000
Smal
l
106 Soaltee Hotel Ltd.
0.18113861
4 low 3014686582 Big
107 Standard Chartered Bank Ltd.
0.13386111
1 low
2894860980
0 Big
108 Standard Finance Ltd.
0.77095588
2 Medium 1362453576 Big
109 Subhechha Bikas Bank Limited
0.89337016
6 high 209815200
Smal
l
110 Swabalamwan Bikash Bank 1.4425 high 188677760
Smal
l
111 Triveni Bikas Bank Limited
0.86310126
6 high 207349246
Smal
l
112 Uniliver Nepal Ltd.
0.18864045
2 low 4401866700 Big
113 Union Finance Co. Ltd.
0.65261111
1 Medium 314825040
Smal
l
114 United Finance Ltd
0.55427135
7 Medium 697743750 Big
115
United Insurance Co.
(Nepal)Ltd. 0.588 Medium 177000000
Smal
l
116 Universal Finance Ltd.
0.75701219
5 Medium 248857536
Smal
l
55
Panel E (Companies selected in 2011-2012 with their BE/ME ratio and Market
Cap)
S.No company BE/ME Value marketcap size
1 Ace Development Bank Ltd.
0.7801418
44
Mediu
m 1058151279 Big
2 Asian Life Insurance Company
0.6001734
1
Mediu
m 622800000 Big
3 Bank of Asia Nepal Limited
0.5503645
83
Mediu
m 3840000000 Big
4 Birgunj Finance Ltd
0.6075287
36
Mediu
m 730800000 Big
5 Business Development Bank Ltd
0.7371631
21
Mediu
m 972984600 Big
6 Capital Mer. Bamk & Fin
0.7474285
71
Mediu
m 1309097300 Big
7 Citizen Investment Trust
0.6584444
44
Mediu
m 648000000 Big
8
Clean Energy Devlopment Bank
Ltd
0.6191616
77
Mediu
m 1816960000 Big
9 DCBL Bank Ltd.
0.7609150
33
Mediu
m 2795772672 Big
10 Gandaki Bikash Bank Ltd
0.7157894
74
Mediu
m 342000000 Big
11 Goodwill Finance Co. Ltd.
0.6018784
53
Mediu
m 543000000 Big
12 ICFC Bittiya Sanstha Ltd
0.6807878
79
Mediu
m 543483105 Big
13 Kaski Finance Limited
0.6779518
07
Mediu
m 348600000 Big
14 KIST Bank Ltd
0.6739354
84
Mediu
m 3100000000 Big
56
15 Lalitpur Finance Ltd.
0.5744745
76
Mediu
m 554215615 Big
16 Machhachapuchhre Bank Ltd
0.8194736
84
Mediu
m 2164171478 Big
17 Maha Laxmi Finance Ltd.
0.6162222
22
Mediu
m 756000000 Big
18
Nepal Aawas Bikas Beeta Co.
Ltd.
0.5704629
63
Mediu
m 362078424 Big
19 Nepal Credit & Com. Bank
0.6480239
52
Mediu
m 2322786300 Big
20
Nepal Doorsanchar Company
Limited
0.7501909
31
Mediu
m
6285000000
0 Big
21 Nepal Insurance Co.Ltd.
0.5890462
43
Mediu
m 355336464 Big
22 Nepal Share Markets Ltd.
0.5985057
47
Mediu
m 751680000 Big
23 NIDC Capital Markets Ltd.
0.8336936
94
Mediu
m 493112616 Big
24 NMB Bank Ltd
0.6187179
49
Mediu
m 3900000000 Big
25 Pokhara Finance Ltd.
0.6855348
84
Mediu
m 667244760 Big
26 Prabhu Finance Company Ltd
0.7924210
53
Mediu
m 775200000 Big
27 Prime Commercial Bank Limited
0.5628828
83
Mediu
m 4708620000 Big
28
Prime Life Insurance Company
Ltd
0.7380701
75
Mediu
m 615600000 Big
29 Royal Mer. Bank.& Fin
0.7547619
05
Mediu
m 503653584 Big30 Sagarmatha Insurance Co.Ltd 0.7034 Mediu 387477000 Big
57
m
31 Standard Finance Ltd.
0.7709558
82
Mediu
m 1362453576 Big
32 United Finance Ltd
0.5542713
57
Mediu
m 697743750 Big
33 Annapurna Finance Co.Ltd.
0.5169124
42 low 568713600 Big
34
Arun Valley Hydropower Dev Co
Ltd
0.2507534
25 low 1156801800 Big
35 Bank of Kathmandu
0.3077192
98 low 7749039990 Big
36 Central Finance Co. Ltd.
0.4260207
61 low 485154993 Big
37 Chilime Hydro power Co.
0.4967883
21 low 5997312000 Big
38
Citizen Bank International
Ltd
0.4960810
81 low 4440000000 Big
39 Everest Bank Ltd
0.3034643
51 low 9085312262 Big
40 Fewa Finance Co. Ltd.
0.4564419
48 low 728910000 Big
41 Global Bank Ltd
0.4939712
92 low 3135000000 Big
42 Gurkha Development Bank
0.4664473
68 low 1203840000 Big
43 Himalayan Bank Ltd.
0.3944173
91 low
1150000000
0 Big
44 IME Financial Institution
0.4814634
15 low 1180374912 Big
45
International Leasing & Fin.
Co.
0.4965853
66 low 1328400000 Big46 Kumari Bank Ltd 0.5140225 low 3627476580 Big
58
5647 Laxmi Bank Limited 0.35 low 3920167360 Big
48 Lumbini Bank Ltd.
0.5087782
81 low 2210000000 Big
49 Nabil Bank Ltd.
0.2116613
42 low
2540024547
2 Big
50
National Life Insurance
Company Ltd
0.3475748
5 low 440880000 Big
51 Nepal Industrial & Co.Bank
0.2587884
62 low 5930496000 Big
52 Nepal Investment Bank Ltd.
0.3695922
33 low
1239640483
5 Big
53 Nepal Life Insurance Co. Ltd.
0.3205653
71 low 1698000000 Big
54 Nepal SBI Bank Limited
0.2612566
37 low
1054889804
0 Big
55 Peoples Finance Limited.
0.5189545
45 low 650496000 Big
56
Purwanchal Grameen Bikash
Bank
0.1366735
75 low 579000000 Big
57 Sanima Vikash Bank Ltd.
0.2193158
95 low 3816960000 Big
58 Shikhar Insurance Co. Ltd.
0.4750318
47 low 392500000 Big
59
Shree Investment Finance Co.
Ltd
0.3460994
76 low 442814400 Big
60 Siddhartha Bank Limited
0.4532222
22 low 4242051000 Big
61 Soaltee Hotel Ltd.
0.1811386
14 low 3014686582 Big62 Standard Chartered Bank Ltd. 0.1338611 low 2894860980 Big
59
11 0
63 Uniliver Nepal Ltd.
0.1886404
52 low 4401866700 Big
64 Annapurna Bikas Bank
0.9741509
43 high 712320000 Big
65
Infrastructure Development
Bank Ltd
1.0590654
21 high 856000000 Big
66 Kasthamandap Dev Bank Ltd
1.1409782
61 high 588800000 Big
67
Narayani National Finance Co.
Ltd.
0.8819333
33 high 979145400 Big
68 Nepal Bangladesh Bank Ltd.
0.8822307
69 high 2418505700 Big
69 NDEP Development Bank Ltd.
0.9732758
62 high 633516600 Big70 Pashupati Dev Bank Limited 1.00875 high 728000000 Big
71
Sagarmatha Mer Banking &
Finance Ltd
0.8700724
64 high 362250000 Big
72
Siddhartha Development Bank
Limited
0.8760504
2 high 767550000 Big
73
Alpic Everest Finance Co.
Ltd.
0.6851807
23
Mediu
m 178682400
Smal
l
74
Civil Merchant Bittiya
Sanstha Ltd 0.701875
Mediu
m 207848160
Smal
l
75 Excel Development Bank Ltd.
0.5338928
57
Mediu
m 224000000
Smal
l
76
Kuber Merchant Bittiya
Sanstha Ltd
0.8463492
06
Mediu
m 189000000
Smal
l
77 Malika Devt Bank Ltd
0.7569281
05
Mediu
m 76500000
Smal
l78 Nava Durga Finance Co.Ltd. 0.8318 Mediu 189856050 Smal
60
m l
79 Nepal Express Finance Ltd
0.6691191
71
Mediu
m 253910800
Smal
l
80 Nirdhan Utthan Bank Ltd.
0.8197446
81
Mediu
m 306602150
Smal
l
81 Premier Finance Co. Ltd
0.6027027
03
Mediu
m 267876744
Smal
l
82
Prudential Finance Company
Ltd
0.7744927
54
Mediu
m 138000000
Smal
l
83 Siddhartha Finance Limited
0.7731372
55
Mediu
m 266526000
Smal
l
84 Union Finance Co. Ltd.
0.6526111
11
Mediu
m 314825040
Smal
l
85
United Insurance Co.
(Nepal)Ltd. 0.588
Mediu
m 177000000
Smal
l
86 Universal Finance Ltd.
0.7570121
95
Mediu
m 248857536
Smal
l
87 Bageshowori Dev.Bank
0.5041139
24 low 156420000
Smal
l
88 Chhimek Vikash Bank Ltd.
0.5125287
36 low 299497500
Smal
l
89 Everest Insurance Co. Ltd.
0.5131612
9 low 313875000
Smal
l
90 Paschimanchal Finance Co. Ltd
0.5094901
96 low 201286800
Smal
l
91 Alliance Insurance Co. Ltd.
1.1840677
97 high 81401238
Smal
l
92 Api Finance Limtied
1.1387341
77 high 189600000
Smal
l
93 Birat Laxmi Devt Bank
0.9588435
37 high 243459636
Smal
l94 Butwal Finance Ltd 1.0786725 high 253731443 Smal
61
66 l
95 CRYSTAL FINANCE Ltd.
1.1096581
2 high 81900000
Smal
l
96 Gorkha Finance Ltd.
1.4384112
15 high 166608095
Smal
l
97 Himalayan Gen.Insu. Co.Ltd. 0.84985 high 201600000
Smal
l
98
Imperial Financial
Institution Ltd
0.9732394
37 high 89815000
Smal
l
99 Kathmandu Finance Limited.
0.8922535
21 high 198306692
Smal
l
100 Lord Buddha Finance Limited
0.8630136
99 high 243090000
Smal
l
101 Lumbini Finance Ltd.
1.4260294
12 high 198900000
Smal
l
102 Lumbini General Insurance
0.9667187
5 high 160000000
Smal
l
103 Miteri Development Bank Ltd. 0.905625 high 115568640
Smal
l
104 Neco Insurance Co.
1.2946428
57 high 129360000
Smal
l
105
Nepal Finance and Saving
Co.Ltd.
0.9635294
12 high 208397475
Smal
l
106 Nerude Laghubitta Bikash Bank
2.6373684
21 high 3895000
Smal
l
107 Nilgiri Vikas Bank Ltd
0.9238053
1 high 56500000
Smal
l
108 Premier Insurance co. Ltd.
0.9678980
89 high 160140000
Smal
l
109 Reliable Finance Ltd
0.8914788
73 high 281160000
Smal
l110 Resunga Bikas Bank Ltd. 0.8934931 high 89352000 Smal
62
51 l
111 Sewa Bikas Bank Ltd
1.1411214
95 high 123050000
Smal
l
112 Shikhar Bittiya Sanstha Ltd
1.3435454
55 high 110000000
Smal
l
113 Siddhartha Insurance Limited
1.1016190
48 high 105000000
Smal
l
114 Subhechha Bikas Bank Limited
0.8933701
66 high 209815200
Smal
l
115 Swabalamwan Bikash Bank 1.4425 high 188677760
Smal
l
116 Triveni Bikas Bank Limited
0.8631012
66 high 207349246
Smal
l
63
APPENDIX B. Annual Report Excrept
APPENDIX C : Stocks selected for constructing different cross sectional
portfolio across different fiscal year
2007-2008 portfolio Selected CompaniesB/L Portfolio a) Unilever Ltd
b) Nabil Bank Ltd
c) Standard Chartered Bank Ltd
B/M Portfolio
a) Ace Development Bank Ltd
b) Chilime Hydropower
c) International Leasing Company
B/H Portfolio
No companies
S/L Portfolio No CompaniesS/M Portfolio a) Navadurga Finance Ltd
b) Premier Finance Ltd
c) Prudential Finance LtdS/h Portofolio a) Sagamartha Insurance
b) Citizen Investment Trust
c) Gorkha Finance
2008-2009 portfolio Selected CompaniesB/L Portfolio a) Unilever Ltd
b) Nabil Bank Ltd
c) Standard Chartered Bank Ltd
64
B/M Portfolio
a) Citizen Investment Trust
b) Goodwill Finance
c) International Leasing
B/H Portfolio
a) Ace Development Bank
b) Siddhartha Development Bank
c) People's Finance
S/L Portfolio No CompaniesS/M Portfolio a) Navadurga Finance Ltd
b) Premier Finance Ltd
c) Prudential Finance LtdS/H Portofolio a) Sagamartha Insurance
b) Excel Development Bank
c) Gorkha Finance
2009-2010 portfolio Selected CompaniesB/L Portfolio a) Kumari Bank Lts
b) Nabil Bank Ltd
c) Standard Chartered Bank Ltd
B/M Portfolio
a) Citizen Investment Trust
b) Unilever Ltd
c) Chilime Hyrdopower
B/H Portfolio
a) Nepal Share Market
b) Standard Finance
c) Birgunj Finance
S/L Portfolio No Companies
65
S/M Portfolio a) Goodwill Finance
b) Premier Finance Ltd
c) Sagarmatha InsuranceS/H Portofolio a) Navadurga Finance
b) Excel Development Bank
c) Gorkha Finance
2010-2011 portfolio Selected CompaniesB/L Portfolio a) Unilever Ltd
b) Nabil Bank Ltd
c) Standard Chartered Bank Ltd
B/M Portfolio
a) Citizen Investment Trust
b) NIDC capital market
c) Nepal Telecom
B/H Portfolio
a) Narayani National Finance
b) Siddhartha Development Bank
c) Nepal Bangladesh BankS/L Portfolio No CompaniesS/M Portfolio a) Navadurga Finance
b) Premier Finance Ltd
c) Sagarmatha InsuranceS/H Portofolio a) Lumbini General Insurance
b) ReliableFinance
c) Gorkha Finance
2011-2012 portfolio Selected CompaniesB/L Portfolio a) Unilever Ltd
b) Nabil Bank Ltd
c) Standard Chartered Bank Ltd
B/M Portfolio
a) Citizen Investment Trust
b) NIDC capital market
66
c) Nepal Telecom
B/H Portfolio
a) Narayani National Finance
b) Siddhartha Development Bank
c) Nepal Bangladesh BankS/L Portfolio a) Everest Insurance
b) Paschimanchal Finance
c) Bageshwori development BankS/M Portfolio a) Navadurga Finance
b) Premier Finance Ltd
c) Sagarmatha InsuranceS/H Portofolio a) Lumbini General Insurance
b) ReliableFinance
c) Gorkha Finance
67
APPENDIX D: Fama-French model fitting data
Period
RetB/L
RetB/M
RetB/H
RetS/L
RetS/M
RetS/H Rf
B/L-Rf
B/M-Rf
B/H-Rf
S/M-Rf
S/H-Rf
Rm-Rf
SMB HML
Dashain
Jul
2007-Aug
0.033996
0.97593 0 0
0.464506
0.258933
0.003483
0.030513
0.972447
-0.00348
0.461023
0.2554
5
0.009982
-0.0955
0.112468 0 0
2007-Sept
0.091899
1.690517 0 0 0
0.0238
1
0.003483
0.088416
1.687034
-0.00348
-0.0034
8
0.020326
0.153919
-0.5862
-0.03404 0 0
2007-Oct
0.088255
0.109269 0 0 0
0.067284
0.003483
0.084772
0.105786
-0.00348
-0.0034
8
0.063801
0.050722
-0.0434
1
-0.01049 1 0
2007-Nov
0.063996
0.076889 0 0
0.005051
-0.0125
0.003483
0.060513
0.073406
-0.00348
0.001567
-0.0159
8
0.059219
-0.0494
4
-0.03825 0 0
2007-dec
-0.2636
0.302848 0 0
0.011348
0.026284
0.003483
-0.2670
8
0.299365
-0.00348
0.007864
0.022801
0.117264
-0.0005
4
0.144943 0 0
2008-jan
0.20145
0.696445 0 0
0.009602
0.015605
0.003483
0.197966
0.692962
-0.00348
0.006119
0.012122
-0.0687
9
-0.2909
-0.09292 0 0
2008-Feb
-0.05715
-0.1527 0 0
0.011642
0.0301
6
0.003483
-0.0606
4
-0.1561
8
-0.00348
0.008158
0.026676
-0.1541
5
0.083885
0.043656 0 0
2008-Mar
-0.09516
-0.05696 0 0
0.004902
-0.0018
9
0.003483
-0.0986
5
-0.0604
4
-0.00348
0.001419
-0.0053
7
-0.1258
6
0.051711
0.046637 0 0
2008-Apr
-0.01168
-0.05678 0 0
0.398551
-0.0075
3
0.003483
-0.0151
6
-0.0602
6
-0.00348
0.395067
-0.0110
2
0.041189
0.153158
0.002074 0 0
2008-May
0.025733
-0.0912 0 0 0
0.003607
0.003483
0.0222
5
-0.0946
8
-0.00348
-0.0034
8
0.000124
0.076295
0.023024
-0.01106 0 0
2008-June
0.076964
0.002019 0 0 0 0
0.003483
0.073481
-0.0014
6
-0.00348
-0.0034
8
-0.0034
8
0.150797
-0.0263
3
-0.03848 0 0
2008-Jul
0.11131
-0.15021 0 0
0.106764
0.040941
0.003483
0.107827
-0.1537
-0.00348
0.103281
0.037457
0.031664
0.062203
-0.03518 0 1
2008-Aug
0.159514
0.184608
0.614841
0 0.176418
0.004301
0.004668
0.154846
0.179941
0.610174
0.1717
5
-0.0003
0.121349
-0.2594
0.229814
0 0
69
t 7 12008-Sept
-0.11119
-0.02788
-0.26907 0
0.132288
0.049094
0.004668
-0.1158
5
-0.0325
5
-0.27374
0.1276
2
0.044426
-0.1049
2
0.196507
-0.0544 0 0
2008-Oct
-0.021
0.172926
-0.00146 0
0.006116
0.047752
0.004668
-0.0256
7
0.168258
-0.00613
0.001448
0.043084
-0.0477
4
-0.0322
0.033644 1 0
2008- Nov
-0.13822
-0.01215
-0.05201 0
0.006614
-0.0133
1
0.004668
-0.1428
9
-0.0168
2
-0.05668
0.001946
-0.0179
8
-0.1407
2
0.065231
0.036451 0 0
2008-Dec
-0.02069
-0.0114
-0.19437 0
0.216941
0.073746
0.004668
-0.0253
6
-0.0160
6
-0.19904
0.212273
0.069078
-0.0939
6
0.172383
-0.04997 0 0
2009-Jan
-0.04717
-0.01562
-0.05481 0
-0.0047
7
0.014879
0.004668
-0.0518
4
-0.0202
9
-0.05947
-0.0094
4
0.010211
-0.1067
8
0.042569
0.003621 0 0
2009-Feb
-0.02562
-0.07527
-0.01405 0
0.085264
-0.1452
2
0.004668
-0.0302
9
-0.0799
4
-0.01872
0.080596
-0.1498
9
0.000955
0.018329
-0.06682 0 0
2009-Mar
-0.00447
-0.02542
0.470565 0 0
0.159076
0.004668
-0.0091
4
-0.0300
9
0.465897
-0.0046
7
0.154408
0.000878
-0.0938
7
0.317055 0 0
2009-Apr
0.053669
0.039656
-0.33832 0
-0.0652
1
0.187512
0.004668
0.049001
0.034988
-0.34299
-0.0698
8
0.182844
-0.0135
6
0.122431
-0.10224 0 0
2009-May
0.023301
0.057938
-0.02702 0
0.047613
-0.0483
4
0.004668
0.018634
0.0532
7
-0.03169
0.042945
-0.0530
1
-0.0051
4
-0.0183
1
-0.04933 0 0
2009-Jun
0.101435
-0.01363
-0.1135 0
-0.1694
8
-0.2344
9
0.004668
0.096767
-0.0183
-0.11817
-0.1741
5
-0.2391
6
0.007103
-0.1260
9
-0.22471 0 0
2009-jul
0.08001
0.050141
-0.06599 0 0
-0.0319
7
0.004668
0.075342
0.045473
-0.07065
-0.0046
7
-0.0366
4
0.115498
-0.0320
5
-0.08898 0 1
2009-Aug
0.044525
-0.01649
-0.01961 0
0.050939
0.001255
0.005182
0.039342
-0.0216
7
-0.02479
0.045756
-0.0039
3
-0.0414
3
0.014588
-0.03144 0 0
2009-Sep
-0.22266
-0.02188
-0.05968 0
-0.1838
4
0.014172
0.005182
-0.2278
4
-0.0270
6
-0.06486
-0.1890
2
0.0089
9
-0.1327
1
0.0448
5
0.088577 0 0
2009-Oct
-0.08355
-0.01041
-0.03846 0
-0.0058
5
0.005193
0.005182
-0.0887
3
-0.0155
9
-0.04365
-0.0110
3
1.04E-05
-0.0374
6
0.043921
0.025138 1 0
200 - 0.0 - 0 - - 0.0 - 0.0 - - - - 0.0 0.0 0 0
70
9- Nov
0.06856
13146
0.03391
0.0305
9
0.0191
305182
0.0737
407963
0.03909
0.0357
7
0.0243
1
0.0750
913202
07761
2009-Dec
-0.03557
-0.0164
-0.04384 0
0.028366
0.043001
0.005182
-0.0407
6
-0.0215
9
-0.04902
0.023183
0.037819
-0.0375
1
0.055726
0.01737 0 0
2010-Jan
-0.07593
-0.02012
-0.01185 0
0.039381
-0.1443
9
0.005182
-0.0811
2
-0.0253
-0.01703
0.034199
-0.1495
7
-0.0373
5
0.000964
-0.04015 0 0
2010-Feb
-0.05667
0.017423
-0.04559 0
0.006029
-0.0141
5
0.005182
-0.0618
5
0.012241
-0.05077
0.000846
-0.0193
4
-0.0766
4
0.025571
-0.00154 0 0
2010-Mar
-0.0096
-0.00291
-0.00917 0
0.009338
-0.0281
8
0.005182
-0.0147
8
-0.0080
9
-0.01436
0.004155
-0.0333
7
-0.0306
0.000944
-0.01388 0 0
2010-Apr
-0.08817
-0.03813
-0.03107 0
-0.0272
6
-0.1461
5
0.005182
-0.0933
5
-0.0433
1
-0.03625
-0.0324
4
-0.1513
4
-0.0706
4
-0.0053
5
-0.04453 0 0
2010-May
0.023773
0.034614
0.012168 0
-0.0412
1
-0.0434
9
0.005182
0.018591
0.029431
0.006986
-0.0463
9
-0.0486
7
-0.0241
1
-0.0517
5
-0.02755 0 0
2010-Jun
0.040182
-0.01633
-0.11703 0
-0.0553
8
-0.0015
0.005182
0.034999
-0.0215
1
-0.12221
-0.0605
6
-0.0066
8
0.074515
0.012098
-0.07935 0 0
2010-jul
0.068333
-0.06034
-0.16407 0
-0.0099
1
-0.0025
2
0.005182
0.063151
-0.0655
3
-0.16925
-0.0150
9
-0.0077
-0.0008
1
0.047886
-0.11746 0 1
2010-Aug
-0.07794
0.056706
-0.1085 0 0
-0.1086
7
0.006088
-0.0840
3
0.050618
-0.11459
-0.0060
9
-0.1147
5
-0.0563
9
0.007024
-0.06961 0 0
2010-Sep
-0.08349
-0.03652
-0.02133 0
-0.0056
5
-0.0094
6
0.006088
-0.0895
8
-0.0426
1
-0.02742
-0.0117
4
-0.0155
5
-0.1085
8
0.042077
0.026351 0 0
2010-Oct
0.004593
0.042017
-0.05556 0
-0.0683
8
0.023411
0.006088
-0.0014
9
0.035929
-0.06165
-0.0744
6
0.017323
0.026083
-0.0120
1
-0.01837 1 0
2010- Nov
-0.0566
0.004873
-0.05356 0
-0.0143
-0.0864
0.006088
-0.0626
9
-0.0012
2
-0.05965
-0.0203
9
-0.0924
9
0.001859
0.001529
-0.04168 0 0
2010-Dec
-0.05606
-0.01807
0.016005 0
-0.0171
1
0.049983
0.006088
-0.0621
5
-0.0241
6
0.009917
-0.0232
0.043895
-0.0756
5
0.030334
0.061024 0 0
2011-Jan
0.087271
-0.0393
-0.0301
0 -0.0695
-0.0255
0.006088
0.081183
-0.0454
-0.0362
-0.0756
-0.0315
0.016618
-0.0375
-0.0714
0 0
71
9 3 1 8 2 9 9 5
2011-Feb
-0.01063
-0.00498
-0.03093 0
-0.0515
1
-0.0482
2
0.006088
-0.0167
2
-0.0110
7
-0.03702
-0.0576
-0.0543
-0.0027
4
-0.0177
3
-0.03426 0 0
2011-Mar
-0.05196
0.016487
-0.08254 0 0
-0.0956
6
0.006088
-0.0580
5
0.010399
-0.08863
-0.0060
9
-0.1017
4
-0.0746
2
0.007454
-0.06312 0 0
2011-Apr
-0.03253
-0.01649
-0.06935 0
-0.0066
2
-0.0392
4
0.006088
-0.0386
2
-0.0225
7
-0.07544
-0.0127
1
-0.0453
2
-0.0155
1
0.024169
-0.03803 0 0
2011-May
-0.04715
-0.01291
-0.04639 0
-0.0106
6
-0.0240
5
0.006088
-0.0532
3
-0.019
-0.05248
-0.0167
5
-0.0301
4
-0.0703
4
0.023911
-0.01165 0 0
2011-Jun
-0.17515
-0.15556
-0.0969 0
0.004505
-0.0849
1
0.006088
-0.1812
4
-0.1616
5
-0.10299
-0.0015
8
-0.091
-0.1690
5
0.115736
-0.00333 0 0
2011-jul
0.25748
-0.11304
0.064901 0 0
-0.0231
1
0.006088
0.251392
-0.1191
3
0.058813
-0.0060
9
-0.0292
0.235231
-0.0774
8
-0.10785 0 1
2011-Aug
-0.05714
0.030656
-0.05656
-0.0276
8 0
0.049427
0.001304
-0.0584
5
0.029352
-0.05786
-0.0013
0.048123
-0.0275
4
0.039869
0.031439 0 0
2011-Sep
-0.05509
-0.05946
-0.07281
-0.0624
6
-0.0111
1
-0.1113
3
0.001304
-0.0564
-0.0607
7
-0.07412
-0.0124
2
-0.1126
3
-0.0923
0.019421
-0.06119 0 0
2011-Oct
-0.05804
0.002232
0.021034
-0.0115
9
0.000233
-0.0238
8
0.001304
-0.0593
5
0.000928
0.01973
-0.0010
7
-0.0251
8
0.031108
0.0015
6
0.030826 1 0
2011- Nov
-0.01207
0.02607
0.01782
0.010607 0
0.011797
0.001304
-0.0133
7
0.024766
0.016515
-0.0013
0.010493
-0.0153
-0.0048
8
0.018155 0 0
2011-Dec
-0.04832
-0.01697
-0.0263
-0.0305
3 0
-0.0386
6
0.001304
-0.0496
3
-0.0182
8
-0.02761
-0.0013
-0.0399
7
-0.0339
7
0.008573
0.005283 0 0
2012-Jan
0.084385
0.050393
-0.04136
0.031138
-0.0491
5
-0.0240
9
0.001304
0.083081
0.049089
-0.04267
-0.0504
5
-0.0253
9
0.017414
-0.0555
5
-0.07492 0 0
2012-Feb
-0.04931
-0.02435
-0.13002
-0.0678
9
-0.0985
4
-0.0268
3
0.001304
-0.0506
1
-0.0256
5
-0.13132
-0.0998
4
-0.0281
3
-0.0336
5
0.026106
-0.05377 0 0
2012-Mar
0.000944
0.037176
0.001844
0.013321
-0.0146
1
-0.0241
5
0.001304
-0.0003
6
0.035872
0.00054
-0.0159
2
-0.0254
6
-0.0044
5
-0.0242
7
-0.01459 0 0
201 0.0 - 0.0 0.0 - - 0.0 0.0 - 0.0 - - 0.0 - - 0 0
72
2-Apr
24465
0.03317
17937
03077
0.0858
6
0.0493
601304
23161
0.0344
716633
0.0871
6
0.0506
684188
0.0652
6
0.00228
2012-May
0.080627
0.167725
0.293292
0.180548 0
0.286305
0.001304
0.079323
0.166421
0.291988
-0.0013
0.285001
0.160333
-0.0873
1
0.252774 0 0
2012-Jun
-0.10406
-0.08458
0.034895
-0.0512
50.0
1
-0.1573
4
0.001304
-0.1053
7
-0.0858
9
0.033591
0.008696
-0.1586
4
-0.0707
6
-0.0384
1
0.051629 0 0
2012-jul
0.166877
0.02493
-0.06964
0.040722
-0.0064
7
0.013136
0.001304
0.165573
0.023626
-0.07095
-0.0077
8
0.011832
0.067443
-0.0414
8
-0.10722 0 1
73
APPENDIX E. SQl InnerJoin Query in Excel:
To Perform Inner Join in Excel
i. First Open a new Excel file in 2007
ii. Goto Data -> > From Other Sources > From Microsoft Query
iii. Choose columns (if you don't see any list of columns, make sure to check
Options > System Tables)
iv. edit the Data > Connections > choose your new connection > Properties >
Definition > Command text
For Example: The given query determines inner join between sheet 'small-big'
and 'high-low' on the common column 'company'
SELECT `'small-big$'`.`s#no`, `'small-big$'`.company, `'small-
big$'`.closingprice, `'high-low$'`.company, `'high-
low$'`.bookvaluepershareFROM `<folder>\<file-name>.xls`.`'high-low$'` `'high-
low$'`, `<folder>\<file-name>.xls`.`.`'small-big$'` `'small-big$'` WHERE
`'small-big$'`.company = `'high-low$'`.company
APPENDIX F. Scatter Plots
74
* BREUSCH-PAGAN & KOENKER TEST MACRO *
* See 'Heteroscedasticity: Testing and correcting in SPSS'
* by Gwilym Pryce, for technical details.
* Code by Marta Garcia-Granero 2002/10/28.
* The MACRO needs 3 arguments:
* the dependent, the number of predictors and the list of predictors
* (if they are consecutive, the keyword TO can be used) .
* (1) MACRO definition (select an run just ONCE).
DEFINE bpktest(!POSITIONAL !TOKENS(1) /!POSITIONAL !TOKENS(1) /!POSITIONAL !CMDEND).
* Regression to get the residuals and residual plots.
REGRESSION
/STATISTICS R ANOVA
/DEPENDENT !1
/METHOD=ENTER !3
/SCATTERPLOT=(*ZRESID,*ZPRED)
/RESIDUALS HIST(ZRESID) NORM(ZRESID)
/SAVE RESID(residual) .
do if $casenum=1.
print /"Examine the scatter plot of the residuals to detect"
/"model misspecification and/or heteroscedasticity"
/""
/"Also, check the histogram and np plot of residuals "
/"to detect non normality of residuals "
/"Skewness and kurtosis more than twice their SE indicate non-normality ".
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end if.
* Checking normality of residuals.
DESCRIPTIVES
VARIABLES=residual
/STATISTICS=KURTOSIS SKEWNESS .
* New dependent variable (g) creation.
COMPUTE sq_res=residual**2.
compute constant=1.
AGGREGATE
/OUTFILE='tempdata.sav'
/BREAK=constant
/rss = SUM(sq_res)
/N=N.
MATCH FILES /FILE=*
/FILE='tempdata.sav'.
EXECUTE.
if missing(rss) rss=lag(rss,1).
if missing(n) n=lag(n,1).
compute g=sq_res/(rss/n).
execute.
* BP&K tests.
* Regression of g on the predictors.
REGRESSION
/STATISTICS R ANOVA
/DEPENDENT g
/METHOD=ENTER !3
/SAVE RESID(resid) .
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*Final report.
do if $casenum=1.
print /" BP&K TESTS"
/" ==========".
end if.
* Routine adapted from Gwilym Pryce.
matrix.
compute p=!2.
get g /variables=g.
get resid /variables=resid.
compute sq_res2=resid&**2.
compute n=nrow(g).
compute rss=msum(sq_res2).
compute ii_1=make(n,n,1).
compute i=ident(n).
compute m0=i-((1/n)*ii_1).
compute tss=transpos(g)*m0*g.
compute regss=tss-rss.
print regss
/format="f8.4"
/title="Regression SS".
print rss
/format="f8.4"
/title="Residual SS".
print tss
/format="f8.4"
/title="Total SS".
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compute r_sq=1-(rss/tss).
print r_sq
/format="f8.4"
/title="R-squared".
print n
/format="f4.0"
/title="Sample size (N)".
print p
/format="f4.0"
/title="Number of predictors (P)".
compute bp_test=0.5*regss.
print bp_test
/format="f8.3"
/title="Breusch-Pagan test for Heteroscedasticity"
+ " (CHI-SQUARE df=P)".
compute sig=1-chicdf(bp_test,p).
print sig
/format="f8.4"
/title="Significance level of Chi-square df=P (H0:"
+ "homoscedasticity)".
compute k_test=n*r_sq.
print k_test
/format="f8.3"
/title="Koenker test for Heteroscedasticity"
+ " (CHI-SQUARE df=P)".
compute sig=1-chicdf(k_test,p).
print sig
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