question archive A bond maturing in fifteen years has a a current price of $825

A bond maturing in fifteen years has a a current price of $825

Subject:FinancePrice:2.86 Bought3

A bond maturing in fifteen years has a a current price of $825.65, yield to maturity of 9.25%, a face value of $1,000. What is the coupon rate of an annual bond?

Select one: A. 7.92% B. 7.35% C. 7.06% D. 7.57%

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                  K = N
Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N
                   k=1
 
                  K =15
825.65 =∑ [(Coupon rate*1000/100)/(1 + 9.25/100)^k]     +   1000/(1 + 9.25/100)^15
                   k=1
 
Coupon rate% = 7.06
Using Calculator: press buttons "2ND"+"FV" then assign
 
PV =-825.65
 
I/Y =9.25
N =15
FV =1000
CPT PMT
 
Using Excel
=PMT(rate,nper,pv,fv,type)/par value
=PMT(9.25/(100),15,-825.65,1000,)/1000