Question

Calculate the annual coupon payment if the semi-annual coupon paying bond price is $920, the yield for the bond is 6%, the bond's face value is $1,000 and matures in 9 years. (Enter the answer in dollar format without $ sign or thousands comma -> 3519.23 and not $3,519.23 or 3,519.23)

Answer 1

$48.40

Step-by-step explanation:

Yield = 6%

Rate = Yield/2 = 6%/2 = 3%

YTM = 9

Nper = YTM*2 = 9*2 = 18

Face value = $1,000

Price(PV) = $920

Monthly payment = PMT(0.03, 18, -920, 1000)

Monthly payment = $24.1833

Coupon rate = (PMT/Face value) * 2

Coupon rate = (24.1833/1000) * 2

Coupon rate = 0.0241833 * 2

Coupon rate = 0.0483666

Coupon rate = 4.84%

Annual coupon payment = Face value * Coupon rate

Annual coupon payment = $1000 * 4.84%

Annual coupon payment = $48.40