Kiss Cosmetics Inc. has a 4-year 5% coupon bond (annual coupon payments) with a face value of $1,000.  The spot rate term structure is shown in the table below. 

 

A)  Calculate the discount factors, PV of the bond, $-duration (delta), Macaulay Duration, and $-convexity. Put the values in the table:

  

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Maturity Spot Rate Discount Factor Cash Flows PV Cash Flows $-Duration Convexity 0.96 48.08 1 2 3 4 Ytm = 4.0% 4.25% 4.75% 5.25% 5.20% 0.92 0.87 0.81 50 50 50 1050 total 46.01 43.51 855.66 993.26 0.05 0.09 0.13 3.45 3.72 96 276 1305 221,130 222,807 B) Assume the term structure makes a 200 bps shift upward. Estimate the new price of the bond using the duration relationship. Assume the reference rate is the current ytm. C) For the same 200 bps upward shift, estimate the new price of the bond using your answer in "B" above and the convexity correction. D) Calculate the new price of AC/DC's bond issue using the discount function after the term structure shifted up by 200 bps. Maturity Spot Rate Discount Factor Cash Flows PV Cash Flows $-Duration Convexity 0.96 48.08 1 2 3 4 Ytm = 4.0% 4.25% 4.75% 5.25% 5.20% 0.92 0.87 0.81 50 50 50 1050 total 46.01 43.51 855.66 993.26 0.05 0.09 0.13 3.45 3.72 96 276 1305 221,130 222,807 B) Assume the term structure makes a 200 bps shift upward. Estimate the new price of the bond using the duration relationship. Assume the reference rate is the current ytm. C) For the same 200 bps upward shift, estimate the new price of the bond using your answer in "B" above and the convexity correction. D) Calculate the new price of AC/DC's bond issue using the discount function after the term structure shifted up by 200 bps.

Answer rating: 100% (QA)

Here are the stepbystep calculations A 1 Calculate discount factors using the spot rates Year 1 Disc... View the full answer