You decide to invest your money in a stock portfolio consisting of 60% TATA motors and 40% in Flipkart. Using the data in the following table, you find that TATA has an annual standard deviation of 0.363 and Flipkart 0.34. The correlation coefficient between the returns of both stocks is 0.34.

a. Calculate the variance and standard deviation of this portfolio.

b. Calculate the relative contribution of each stock to this portfolios variance.

c. Calculate the of each stock relative to this two-stock portfolio.

d. Now calculate portfolio risk (standard deviation) and return using some different values for the weights and plot the results in risk-return space. Using the given table.

e. The graph you plotted under (d) gives you a good idea what the minimum variance portfolio looks like, but can you calculate the properties exactly? What weights give the portfolio its minimum variance? What is this portfolios standard deviation and return?

f. How would the graph under (d) look if TATA and Flipkart were perfectly positively correlated?