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).

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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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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