Submit your solutions as an Excel document. Be sure to clearly label the various parts of the problem. 1. Consider the following two bonds that make semi - annual coupon payments. Assume the first coupon payment occurs in exactly six months, and the bond has a face value of $1000. Coupon Rate Time to Maturity YTM Bond A 3.80% 8 years 3.6% Bond B 3.80% 18 years 4.2% a.) What is the current price (t = 0) of Bond A? Be sure to set up the valuation equation. b.) What will be the price of Bond A exactly halfway in between t = 0 and the first coupon date? c.) Using a spreadsheet, plot the price - yield relationship for both Bond A and Bond B on the same set of axes. Do this for a range of yields from 2% to 11% (in increments of 50 basis points).
Submit your solutions as an Excel document. Be sure to clearly label the various parts of the problem. 1. Consider the following two bonds that make semi - annual coupon payments. Assume the first coupon payment occurs in exactly six months, and the bond has a face value of $1000. Coupon Rate Time to Maturity YTM Bond A 3.80% 8 years 3.6% Bond B 3.80% 18 years 4.2% a.) What is the current price (t = 0) of Bond A? Be sure to set up the valuation equation. b.) What will be the price of Bond A exactly halfway in between t = 0 and the first coupon date? c.) Using a spreadsheet, plot the price - yield relationship for both Bond A and Bond B on the same set of axes. Do this for a range of yields from 2% to 11% (in increments of 50 basis points). d.) Use a spreadsheet to compute the annualized Macaulay duration and modified duration for Bond A at a yield - to - maturity of 3.6%. Provide an interpretation of the modified duration with regards to maturity and interest rate risk. e.) Use a spreadsheet to calculate the annualized convexity measure of Bond A at a YTM of 3.6%. f.) Using the duration approximation formula with a convexity adjustment, what percentage change in the price of Bond A would you expect if the yield decreases by 150 basis points?
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