Question: Consider two securities A and B. A pays an expected cashflow of 10 at time 1, 3, 5, and 10. Then, A pays an expected
Consider two securities A and B. A pays an expected cashflow of 10 at time 1, 3, 5, and 10. Then, A pays an expected cashflow of 20 at time 11, 12, 13, 14,... (perpetuity). B pays an expected cashflow of 100 at time 2. From time 2 to time 10, this expected cashflow grows at a 2% annual rate (hint: this means that the expected cashflow at time 3 is 102). At time 11, B pays an expected cashflow of 200 and this cashflow grows at an annual rate of 10% (perpetuity). Security A's return volatility is 10%. The correlation between security A's return and the market return is 0.6. Security B's return covariance with the market return is 0.005. The correlation between security B's return and the market return is 0.3. The risk-free rate is rf = 3%. The market return is 15% with probability 70% and 6% with probability 30%. Remark: The notation t+ stands for time t right after cashflows have been paid. The beta of security b is 2.9394(k) Compute the price of security B at time 10+ (PB,10+). (l) (3 points) Compute the present value at time 1+ of the expected cashflows paid by B between time 2 and time 10 only (P VB,1+). (m) (3 points) Compute the price of security B at time 0 (PB,0)
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