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Barnes Co

Finance Jan 17, 2021

Barnes Co. has bonds on the market making annual payments, with 15 years to maturity, a par value of $1,000, and a price of $847.44. At this price, the bonds yield 8.5 percent. What must the coupon rate be on the bonds?

Expert Solution

First, let's find the annual coupon payment on the bond given the following:

Par value of the bond is $1,000

FV = 1,000

The price of the bond is $847.44

PV = -847.44

Negative sign indicates cash out flow

Years to maturity, N = 15

Yield to maturity of the bond is 8.5%

I/Y = 8.5

So, we have:

FV = 1000

PV = -847.44

N = 15

I/Y = 8.5

CPT PMT

PMT = $66.628654

Annual coupon = $66.628654

The coupon rate on the bond = Annual coupon/FV

Using the values from above,

The coupon rate = 66.628654/1,000

The coupon rate = 0.066628654

The coupon rate = 6.6628654%

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