Question: Please do the following problem in excel, and show the formuals when showing work. Suppose that there are many stocks in the security market and

Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Stock B Expected Return 100 18 Correlation-1 Standard Deviation 58 9 Suppose that it is possible to borrow at the risk-free rate, rr. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) (Do not round Intermediate calculations. Round your answer to 3 decimal places.) Risk-free rate 12.857% Explanation Since Stock A and Stock Bare perfectly negatively correlated, a risk free portfolio can be created and the rate of return for this portfolio, in equilibrium, will be the risk-free rate. To find the proportions of this portfolio (with the proportion wa invested in Stock A and we - (1 - wa) invested in Stock B), set the standard deviation equal to zero. With perfect negative correlation, the portfolio standard deviation is: Op = Absolute value IWAPA - W] 0 = 5* WA - 19 * (1 - WA) -> WA - 0.6429 The expected rate of return for this risk-free portfolio is: 60 - (0.6429 X 10) + (0.3571 18) 12.857%
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