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Consider a $1,000-par junk bond paying a 12% annual coupon. The issuing company has 20% chance of defaulting this year; in which case, the bond
Consider a $1,000-par junk bond paying a 12% annual coupon. The issuing company has 20% chance of defaulting this year; in which case, the bond would not pay anything. | |||||
If the company survives the first year, paying the annual coupon payment, it then has a 25% chance of defaulting in the second year. | |||||
If the company defaults in the second year, neither the final coupon payment nor par value of the bond will be paid. | |||||
3a . What price must investors pay for this bond to expect a 10% yield to maturity? | |||||
Year 1 | Year 2 | Sum | |||
Expected cash flows | 120 | 1120 | |||
PV of expected cash flows | |||||
The price today should be: | |||||
3b . At that price, what is the expected holding period return? Standard deviation of returns? Assume that periodic cash flows are reinvested at 10%. | |||||
At the end of two years, the following cash flows and probabilities exist: | |||||
Final Cash Flow | Holding Period Return (HPR) | Prob*(HPR - Exp. HPR)2 | |||
Probability | Prob *HPR | ||||
0.2 | $0.00 | ||||
0.2 | $132.00 | ||||
0.6 | $1,252.00 | ||||
The expected holding period return is: | |||||
The standard deviation is: | |||||
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