Kaiser Industries has bonds on the market making annual payments, with 14 years to maturity, a par value of $1,000, and selling for $1,382.01. At this price, the bonds yield 7.5 percent. What is the coupon rate

The Coupon rate is 11.66%

Explanation:

Yield to maturity is the annual rate of return that an investor receives if a bond bond is held until the maturity.

Face value = F = $1,000

Selling price = P = $1,382.01

Number of payment = n = 14 years

Bond Yield = 7.5%

The coupon rate can be calculated using following formula

Yield to maturity = [ C + (F - P) / n ] / [ (F + P) / 2 ]

7.5% = [ C + ($1,000 - 1,382.01) / 14 ] / [ ($1,000 + $1,382.01) / 2 ]

7.5% = [ C - $27.29 ] / $1,191

7.5% x $1,191 = C - $27.29

$89.33 = C - $27.29

C = $89.33 + $27.29 = $116.62

Coupon rate = $116.62 / $1,000 = 0.11662 = 11.66%