In: Finance
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 Assume that you manage a risky portfolio with an expected rate of return of 20% and a standard deviation of 42%. The T-bill rate is 4%.  | 
| 
 Your risky portfolio includes the following investments in the given proportions:  | 
| Stock A | 26 | % | 
| Stock B | 35 | % | 
| Stock C | 39 | % | 
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 Your client decides to invest in your risky portfolio a proportion (y) of his total investment budget with the remainder in a T-bill money market fund so that his overall portfolio will have an expected rate of return of 16%.  | 
| a. | What is the proportion y? (Round your answer to 2 decimal places.) | 
| Proportion y | 
| b. | 
 What are your client's investment proportions in your three stocks and the T-bill fund? (Round your intermediate calculations and final answers to 2 decimal places.)  | 
| Security | Investment Proportions  | 
| T-Bills | % | 
| Stock A | % | 
| Stock B | % | 
| Stock C | % | 
| c. | 
 What is the standard deviation of the rate of return on your client's portfolio? (Round your intermediate calculations and final answer to 2 decimal places.)  | 
| Standard deviation | % per year |