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The paper studies the dependence pattern between stock market and foreign exchange market of three South Asian countries; namely Bangladesh, India and Sri Lanka by using five copula functions, to reveal asymmetric dependence structure. This paper focuses South Asia because of its promise as portfolio investment destination. The dependence structure between stock market and foreign exchange market assists MNCs, private equity firms, international portfolio managers and policy makers in international investment decision making. The paper also studies tail dependence (upper and lower). Markets crash together rather boom together, which can be traced by tail dependence parameter. Correlation, Kendall’s tau and Spearman’s rho reveal linear dependence. However, Copulas reveal non-linear dependence between non-normal distributions. In this paper, Copula functions are applied between marginal distributions of stationary uni-variate return series. Using daily return series for the period of July 31, 2009 to July 31, 2013, ARMA-GARCH type model are applied to obtain marginal distributions of return series. The results from marginal models indicate that volatility dies immediately after a crisis; meanwhile positive news creates more volatility than negatives. The results from copula models indicate existence of asymmetric dependence, with upper tail dependence for all pairs, implying dependence increases in bull market situation (price increase in financial instruments). Both Bangladeshi and Indian pairs provide some diversification possibility, against no diversification for investing in Sri Lankan market. Moreover, Bangladesh and India demonstrated as promising investment destination in terms of risk –return criteria. Foreign investors are recommended to employ proper risk and investment management strategy in order to earn capital gain, by following diversification strategy. Conversely, investment recipient countries are recommended to establish a stable, well regulated stock market, with high stock market capitalization to GDP. Besides, monetary policy should stabilize the exchange rate of currency to attract foreign investors. Copula based dependence measures assist foreign investors and investment recipient countries to change their related strategies and policies; subsequently they will be able to maximize their utility functions.

The paper aims at constructing an optimal portfolio by applying Sharpe’s single index model of capital asset pricing in different scenarios, one is ex ante stock price bubble scenario and stock price bubble and bubble burst is second scenario. Here we considered beginning of year 2010 as rise of stock price bubble in Dhaka Stock Exchange. Hence period from 2005 -2009 is considered as ex ante stock price bubble period. Using DSI (All share price index in Dhaka Stock Exchange) as market index and considering daily indices for the March 2005 to December 2009 period, the proposed method formulates a unique cut off point (cut off rate of return) and selects stocks having excess of their expected return over risk-free rate of return surpassing this cut-off point. Here, risk free rate considered to be 8.5% per annum (Treasury bill rate in 2009). Percentage of an investment in each of the selected stocks is then decided on the basis of respective weights assigned to each stock depending on respective ‘β’ value, stock movement variance representing unsystematic risk, return on stock and risk free return vis-à-vis the cut off rate of return. Interestingly, most of the stocks selected turned out to be bank stocks. Again we went for single index model applied to same stocks those made to the optimum portfolio in ex ante stock price bubble scenario considering data for the period of January 2010 to June 2012. We found that all stocks failed to make the pass Single Index Model criteria i.e. excess return over beta must be higher than the risk free rate. Here for the period of 2010 to 2012, the risk free rate considered to be 11.5 % per annum (Treasury bill rate during 2012).