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A bond has a par value of $1,000, a current yield of 7.25 percent, and semiannual coupon payments. The bond is quoted at 97.66. What is the coupon rate of the bond

Respuesta :

Answer:

7.08%

Explanation:

Face Value = $1,000

Current Price = 1000 x 97.66% = 976.6

Current yield = 7.25%

We can find the coupon rate by a simple formula

Coupon Rate = (Interest / Face value) x 100

We need to find interest first in order to find coupon rate

YTM = Interest / Current price

7.25% x 976.6 = Interest

70.7035 = Interest

Coupon Rate = (70.8035 / 1000) x 100

Coupon Rate = 7.08%

The coupon rate of the bond is 7.08%

Calculation of the coupon rate:

Since

Face Value = $1,000

Current Price = 1000 x 97.66% = 976.6

Current yield = 7.25%

So, the following formulal should be used

Coupon Rate = (Interest / Face value) x 100

But the interest should be determined.

YTM = Interest / Current price

7.25% x 976.6 = Interest

70.7035 = Interest

Now

Coupon Rate = (70.8035 / 1000) x 100

Coupon Rate = 7.08%

hence, the coupon rate is 7.08%.

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