4. Today (at time t = 0) suppose that there is a 1-year zero-coupon bond with a price of $98.02 and a 2-year zero-coupon bond with a price of $94.18 traded on the market. Both bonds have a principal of $100. Assume that you are able to buy and short sell both bonds today at their quoted prices. (a) What is today's 1-year forward interest rate fo(1, 2) (for year 2, continuously compounded and in % per annum) implied by the given zero-coupon bond prices?

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
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Chapter16: Capital Structure Decisions
Section: Chapter Questions
Problem 10MC: Suppose there is a large probability that L will default on its debt. For the purpose of this...
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4.
Today (at time t = 0) suppose that there is a l-year zero-coupon bond with a price
of $98.02 and a 2-year zero-coupon bond with a price of $94.18 traded on the market. Both
bonds have a principal of $100. Assume that you are able to buy and short sell both bonds
today at their quoted prices.
(a) What is today's 1-year forward interest rate fo(1, 2) (for year 2, continuously compounded
and in % per annum) implied by the given zero-coupon bond prices?
(b) Suppose that someone is offering you a l-year forward rate fo(1, 2) for year 2 of 5% per
annum (continuously compounded). Is there an arbitrage opportunity? If yes, explain
carefully how the arbitrage strategy would look like.
Transcribed Image Text:4. Today (at time t = 0) suppose that there is a l-year zero-coupon bond with a price of $98.02 and a 2-year zero-coupon bond with a price of $94.18 traded on the market. Both bonds have a principal of $100. Assume that you are able to buy and short sell both bonds today at their quoted prices. (a) What is today's 1-year forward interest rate fo(1, 2) (for year 2, continuously compounded and in % per annum) implied by the given zero-coupon bond prices? (b) Suppose that someone is offering you a l-year forward rate fo(1, 2) for year 2 of 5% per annum (continuously compounded). Is there an arbitrage opportunity? If yes, explain carefully how the arbitrage strategy would look like.
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