Investigating different factors influencing on return of private banks

Article history: Received May 16, 2013 Received in revised format 28 June 2013 Accepted 10 August 2013 Available online August 11 2013 Return of Investment has always been an interesting area of research among academics as well as investors. Although capital asset pricing model (CAPM) is capable of estimating risk of investment, many people argue that CAPM is not able to predict long-term return, properly. This paper presents an empirical investigation to find the effects of different financial figures including systematic risk (Beta), size of firm, ratio of book value to market share, volume of trade and the ratio of price/earnings (P/E) on return of private banks in Iran. The study gathers the necessary information over the period 2005-2011 from private banks in Iran. The study uses multiple regression technique to find the effects of mentioned variables on return of private banks. The results indicate that there are some meaningful and positive relationship between return of banks and systematic risk (Beta), size, volume of trade and P/E. The study also finds some meaningful and reverse relationship between bank return and book value on market value. © 2013 Growing Science Ltd. All rights reserved.


Introduction
Return of investment has always been an interesting area of research among academics as well as investors.Although capital asset pricing model (CAPM) is capable of estimating risk of investment, many people argue that CAPM is not able to predict long-term return, properly (Datar et al., 1998;Kiel & Nicholson, 2003).Acharya and Pedersen (2005), for instance, solved a simple equilibrium model with liquidity risk, explicitly.In this liquidity-adjusted CAPM, a security's required return depends on its expected liquidity as well as on the covariances of its own return and liquidity with the market return and liquidity.The empirical results emphasized on the total and relative economic significance of these channels and provided evidence of flight to liquidity.Fama andFrench (1992, 1995) in other study reported that size and book-to-market factors influence on earnings and returns.Baker and Stein (2004) constructed a model that guides to explain why increases in liquidity-such as lower bid-ask spreads, a lower price effect of trade, or higher turnover-predict lower subsequent returns in both firm-level and aggregate data.The model presented a class of irrational investors, who underreact to the data contained in order flow, thereby boosting liquidity.Billings and Morton (2001) investigated whether the ability of book-to-market to forecast returns derives from systematic errors in the market's anticipation of future earnings.They extended Beaver and Ryan (2000) by decomposing book-to-market into a more bias component and a delayed lag component.They reported that both components are associated with analyst expectations of future earnings, but the lag component was the dominant factor across all forecast horizons.They also reported that the lag component explained most of the inverse relationship between book-to-market and future returns.Given that lag was built by regressing book-to-market ratios on lagged price changes, their results were consistent with the lag component capturing systematic stock price reversals.They also reported that the components had unique relationship with subsequent earnings prediction revisions, and controlling for these relationships substantially mitigated the components' capability to forecast returns.Bortolotti et al. (2007) demonstrated that share issue privatization (SIP) was a major source of domestic stock market liquidity in 19 developed economies.Chan and Faff (2003) performed an investigation into the effect of liquidity in asset pricing.They found that turnover was negatively associated with stock returns and its importance persists even after controlling for book-to-market, size, stock beta and momentum.Chordia and Swaminathan (2000) reported that trading volume was a significant determinant of the lead-lag patterns observed in stock returns.Their results indicated that differential speed of adjustment to information was a substantial source of the cross-autocorrelation patterns in short-horizon stock returns.Jensen et al. (1997) provided some evidences on size and price-to-book effects in stock returns.Chen (2005) performed an empirical investigation on pervasive liquidity risk and asset pricing.Demir et al. (2004) investigated the returns to short-term and intermediate-horizon momentum strategies in the Australian equity market.They concentrated on 'practical' or 'realistic' investment strategies, and reported that momentum was prevalent in the Australian market and that the returns were of greater magnitude than previously found in overseas markets.They also examined the interaction of momentum on size and liquidity variables and reported that the observed profits to these investment strategies were not explained by size or liquidity differences among the stocks.Liu (2006) presented a liquidity-augmented capital asset pricing model.Marshall and Young (2003) investigated liquidity and stock returns in pure order-driven markets by looking into some evidences from the Australian stock market.Martınez et al. (2005) studied the relationship between asset pricing and systematic liquidity risk in an empirical investigation of the Spanish stock market.Loukil et al. (2010) investigated the impact of liquidity on stock returns: an empirical investigation of the Tunisian stock market.Penman (1996) investigated the articulation of price-earnings ratios and market-to-book ratios and the evaluation of growth.

The proposed study
This paper presents an empirical investigation to find the effects of different financial figures including systematic risk (Beta), size of firm, ratio of book value to market share, volume of trade and the ratio of price/earnings (P/E) on return of banking industry.The study gathers the necessary information over the period 2005-2011 from private banks in Iran.The study uses multiple regression technique to find the effects of mentioned variables on return of private banks.In this study return (R it ) is calculated as follows, where α and β are the percentage increase in equity through cash and saving, respectively.In addition, c is the cost of issuing the new share and d is the amount of dividend per share.Finally, p t and p t-1 are stock prices at t and t-1, respectively.Beta is a systematic risk, which is the result of economic change, inflation, etc. Size is another important variable in this study, which is calculated through taking natural logarithm of total assets.BTM is the other variable, which is calculated as a ratio of book value on market value.TOU is total number of shares traded during the fiscal year.P/E is the ratio of price on earnings.The regression model of this paper is as follows, where α it is the intercept, β i , δ i , γ i, η i and i are coefficients to be estimated and it  is the residual.Table 1 demonstrates the results of some basic statistics associated with the proposed study of this paper.

Table 1
The results of some basic statistics One of the most important steps before performing regression analysis is to make sure the data are normally distributed.This could be accomplished by performing three statistical tests namely Kolmogorov-Smirnov, Shapiro-Wilk and Jarque-bera.Table 2 shows details of our findings on these three variables,

Table 2
The results of normality test The other action is to make sure there is no autocorrelation among residuals and all independent variables are linearly distributed.Table 4 demonstrates the results of our findings.The results of Table 4 demonstrate that the relationship is linear and there is no auto correlation among residuals.Another step is to see whether there is any strong correlation between independent variables or not.Table 5 demonstrates the results of our survey, The results of Table 5 do not imply there would be strong correlation among independent variables and we may take the regression analysis.Table 6 demonstrates the summary of our regression analysis,

Table 6
The summary of regression analysis The results of regression analysis show that all coefficients are meaningful when the level of significance is one percent.Next, we present details of our findings on testing the hypotheses of this survey.

The results
In this section, we present details of our survey on testing various hypotheses of this survey.

The first hypothesis: The relationship between return and Beta
The first hypothesis of this survey examines whether there is any relationship between return of shares and Beta or not.According to which means there is a positive and meaningful relationship between return and Beta when the level of significance is five percent and we can confirm the first hypothesis of the survey.

The second hypothesis: The relationship between return and Size
The second hypothesis of this survey examines whether there is any relationship between return of shares and size of firm or not.According to which means there is a positive and meaningful relationship between return and Size of firm when the level of significance is five percent and we can confirm the second hypothesis of the survey.

The third hypothesis: The relationship between return and the ratio of book value on market value
The third hypothesis of this survey examines whether there is any relationship between return of shares and the ratio of book value on market value or not.According to which means there is a negative and meaningful relationship between return and ratio of book value on market value of firm when the level of significance is five percent and we can confirm the third hypothesis of the survey.

The fourth hypothesis: The relationship between return and the volume of trades
The fourth hypothesis of this survey examines whether there is any relationship between return of shares and the volume of trades or not.According to which means there is a positive and meaningful relationship between return and the volume of trade when the level of significance is five percent and we can confirm the fourth hypothesis of the survey.

The fifth hypothesis: The relationship between return and P/E ratio
The fifth hypothesis of this survey examines whether there is any relationship between return and the P/E ratio or not.According to which means there is a positive and meaningful relationship between return and the volume of trade when the level of significance is five percent and we can confirm the fourth hypothesis of the survey.
In summary, all hypotheses of this survey have been confirmed.

Conclusion
In this paper, we have presented an empirical investigation to study the effects of five variables including systematic risk, size of firm, ratio of book value on market value, volume of trade and P/E ratio on return of private banks in Iran.The study has gathered the necessary data and using regression analysis verified various hypotheses.The results of the survey have confirmed that there were some positive and meaningful relationship between return of private banks and systematic risk, size of firm, volume of trade and P/E ratio.In addition, the study has confirmed that there was a negative relationship between ratio of book value on market value and return of private banks.

Table 4
The summary of Durbin-Watson, F-value and J_B tests

Table 5
The results of correlation among independent variables