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Pacific Homecare has three bond issues outstanding. All three bonds pay $100 in annual interest plus...

Pacific Homecare has three bond issues outstanding. All three bonds pay $100 in annual interest plus $1,000 at maturity. Bond S has a maturity of five years, Bond M has a 15-year year maturity, and Bond L matures in 30 years.

a. What is the value of each of these bonds when the required interest rate is 10% and 15%?

b. Why is the price of Bond L more sensitive to interest rate changes than the price of Bond S?

Please show the formula used in excel spreadsheet.

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Answer #1

1 Required Rate 0.1 2 Price of Bonds =PV($B$1,5,-100,-1000) 3 Price of Bond M =PV($B$1,15,-100,-1000) 4 Price of Bond L =PV($

BC 10% 1,000.00 1,000.00 1,000.00 A 1 Required Rate 2 Price of Bonds 3 Price of Bond M 4 Price of Bond L 5 6 7 Required Rate

As Bond L has longest maturity, it has highest duration and hence higher sensitivity to rates

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