Question

Barnes Enterprises has bonds on the market making annual payments, with 17 years to maturity, a par value of $1,000, and a price of $969. At this price, the bonds yield 8.1 percent. What must the coupon rate be on the bonds? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answer 1

7.76%

Step-by-step explanation:

In this question, we use the PMT formula which is shown in the spreadsheet.

The NPER represents the time period.

Given that,

Present value = $969

Future value = $1,000

Rate of interest = 8.1%

NPER = 17 years

The formula is shown below:

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

The present value come in negative

So, after solving this, The PMT would be $77.58

The coupon rate is shown below:

= (Coupon payment ÷ par value) × 100

= ($77.58 ÷ $1,000) × 100

= 7.76%