Volbeat Corporation has bonds on the market with 10.5 years to maturity, a YTM of 6.2 percent, a par value of $1,000, and a current price of $945. The bonds make semiannual payments. What must the coupon rate be on the bonds?

Question

Carolina

Business

2 March, 13:51

Volbeat Corporation has bonds on the market with 10.5 years to maturity, a YTM of 6.2 percent, a par value of $1,000, and a current price of $945. The bonds make semiannual payments. What must the coupon rate be on the bonds?

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Answers (1)

Know the Answer?

Harley Fuller · Answer 1

The answer is 5.47 percent

Explanation:

Firstly, we find coupon payment (PMT).

it can be gotten from the price (present value) of bond formula:

PV = PMT / (1+r) ^1 + PMT / (1+r) ^2 ... PMT + FV / (1+r) ^n

N = 10.5 years

1/Y = 6.2 percent

PV = $945

PMT = ?

FV = $1000

Using a Financial calculator to input all the variables above,

Annual PMT = $54.72

Semi annual will be $54.72/2 = $27.36

Coupon rate is Annual PMT / par value

= $54.72/1000

0.0547 or 5.47 percent