A bond has yield to maturity of 7.15 percent; face value of $1,000; time to maturity of 11 years and pays coupons semiannually. If the price of the bond is $939.02, calculate the coupon rate of the bond.

6.34 %

Explanation:

For computing the coupon rate, first we have to determine the PMT by using the PMT formula that is shown on the attachment

Given that,  

Present value = $939.02

Future value = $1,000

Rate of interest = 7.15% ÷ 2 = 3.58%

NPER = 11 years × 2 = 22 years

The formula is shown below:

= PMT(Rate;NPER;-PV;FV;type)

The present value come in negative

So, after solving this, the PMT is $31.70

It is semi annually

Now the annual PMT is

= $31.70 × 2

= $63.40

So, the coupon rate equals to

= $63.40 ÷ $1,000

= 6.34 %

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