Question

Sam Strother and Shawna Tibbs are vice presidents of Mutual of Seattle Insurance Company and co-directors of the companys pef. (1) What is the yield to maturity on a 10-year, 9% annual coupon, $1,000 par value bond that sells for $887.00? That sells

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Answer #1

f. 1. Par Value =1000
Coupon =9%*1000 =90
Number of Years =10
PV or Price of Bond =887
YTM using Financial Calclator
N=10;PMT =90;PV=-887;FV=1000;CPT I/Y =10.9117% or 10.91%

If PV or Price of Bond =1134.20
YTM using Financial Calclator
N=10;PMT =90;PV=-1134.20;FV=1000;CPT I/Y =7.08%

YTM is greater than Coupon rate is discount bond and if YTM is less than coupon rate it is premium bond.

2) Total return of Discout Bond =YTM =10.91%
Current Yield =Annual Coupon/Price =90/887=10.1466%
Capital Gain Yield =YTM-Current Yield =10.9117%-10.1466% =0.77%

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