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Suppose a​ ten-year, $1,000 bond with an 8.2% coupon rate and semiannual coupons is trading for...

Suppose a​ ten-year, $1,000 bond with an 8.2% coupon rate and semiannual coupons is trading for $1,034.44. a. What is the​ bond's yield to maturity (expressed as an APR with semiannual​ compounding)? b. If the​ bond's yield to maturity changes to 9.5% ​APR, what will be the​ bond's price?

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Answer #1

rate positively ..

Ans a) we have to use financial calculator to solve this
put in calculator
FV 1000
PV -1034.44
PMT 1000*8.2%/2 41
N 10*2 20
Compute I 3.85%
APR = 3.85%*2 7.70%
Ans b) if APR = 9.5%
therefore semiannual rate = 9.5%/2 4.75%
Put in financial calculator -
FV 1000
PMT 41
N 20
I 4.75%
Compute PV ($917.25)
Ans = $917.25
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