Question: Question 1. The current yield curve for default-free zero-coupon bonds is as follows: Maturity (years) YTM % (years) 1 10 % 2 11 % 3
Question 1. The current yield curve for default-free zero-coupon bonds is as follows:
| Maturity (years) | YTM % (years) |
| 1 | 10 % |
| 2 | 11 % |
| 3 | 12 % |
a) What are the prices of bonds and the implied 1-year forward rates?
b) If you purchase a 2-year zero-coupon bond now, what is the expected total rate of return over the next year assuming zero taxes? What if you purchase a 3-year zero-coupon bond? (Hint: Compute the current and expected future prices.)
c) What should be the current price of a 3-year maturity bond with a 12% coupon rate paid annually?
d) If you purchase it at that price, what would your total expected rate of return be over the next year (remember coupons + price change)? Ignore taxes again.
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