You observe the following term structure: If you believe that the term structure
ID: 2784152 • Letter: Y
Question
You observe the following term structure:
If you believe that the term structure next year will be the same as today’s, what will be the return on 1-year and 4-year zero-coupon bonds? (Do not round intermediate calculations. Round your answers to 1 decimal place.)
Will the 1-year or the 4-year zeros provide a greater expected 1-year return?
Effective Annual YTM 1-year zero-coupon bond 4.3% 2-year zero-coupon bond 4.4 3-year zero-coupon bond 4.5 4-year zero-coupon bond 4.6Explanation / Answer
The return on one year bond is = 4.3%
The price of 4 year bond today = 1,000/ (1.046)4
Price of 4 year bond today = 835.36
If yield curves is unchanged, the bond will have 3-year maturity and price will be = 1,000/ (1.045)3
If yield curves is unchanged, the bond will have 3-year maturity and price will be = 876.30
Return = (876.30 - 835.36)/ 835.36
Return = 4.90%
The longer term bond has given the higher return in this case at it's YTM fell during the holding period
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