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# 1. The price of a 1-year zero coupon bond is 97% of the face value, the prices of corresponding 2-year and 3-year bonds are 96% and 91%, respectively. You are offered an opportunity to borrow \$1m in...

1. The price of a 1-year zero coupon bond is 97% of the face value, the prices

of corresponding 2-year and 3-year bonds are 96% and 91%, respectively.

You are offered an opportunity to borrow \$1m in year 1 (one year from now).

The loan requires annual coupon payments of 4% of \$1m in years 2 and 3,

and you must repay the capital of \$1m in year 3. Should you accept this

offer?

2. The Sharpe ratio and Jensen’s alpha of portfolio A are 0.10 and 0.004,

respectively. The risk-free rate is 3%, the average return on the market

portfolio is 7%, the variance of the market portfolio is 0.09, and the

correlation coefficient between A and the market portfolio is 0.7. What is the

expected return and the variance of A

Answered Same Day Jul 16, 2021

## Solution

Sumit answered on Jul 16 2021
1.Given:
Price of 3-year bond = 91%
Hence yield = 9%
The formula for calculating the value of zero-coupon bond is:
Face Value / (1 + Yield) n
Where, Yield = periodic bond yield and n = number of years
1Million / (1 + 9%)3
= 7,69,231 is the present value of the bond
Expected Accrual Income:
= 1000000 - 769231
= \$230769
Expected Value of outflow during year 2 and 3:
Year 2 = 1million x 4% / (1 + 9%)2
= \$33613
Year 3 = 1 million x 4% / (1 + 9%)3
=...
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