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Investors are evaluating two bonds at time t in a financial crisis setting where the likelihood of default is expected to increase strongly as

Investors are evaluating two bonds at time t in a financial crisis setting where the likelihood of default is expected to increase strongly as time passes. Assume the following values for the probability of default (z) of two five-year bonds, issued respectively by companies A and B. t+1 t+2 t+3 t+4 t+5 A 0.3 0.4 0.5 0.6 0.6 0.2 0.2 0.6 0.7 0.7 a. Assume both bonds are 5 year, 5% coupon, $1000 face value coupon bonds, bought at par: $1000. Calculate the yields on the two bonds. Which is higher? Are both yields negative? b. Now assume a setting where all future interest rates are exogenously fixed at 6%; the prices of the bond are now to be determined. What are the prices of bond A and B? Which is higher? c. With respect to (b) above, and taking both present value streams together, does there exist some value for i that would make the price of Bond A equal to the price of Bond B?

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