Answer:
Coupon rate is 5.17%
Explanation:
Yield to maturity is the annual rate of return that an investor receives if a bond bond is held until the maturity.
Assuming Face value of the bond is $1,000
Face value = F = $1,000
Selling price = P = $948
Number of payment = n = 9 years
Bond Yield = 5.9%
The coupon rate can be calculated using following formula
Yield to maturity = [ C + ( F - P ) / n ] / [ (F + P ) / 2 ]
5.9% = [ C + ( $1,000 - $948 ) / 9 ] / [ ( $1,000 + $948 ) / 2 ]
5.9% = [ C + $5.78 ] / $974
5.9% x $974 = C + $5.78
$57.466 = C + $5.78
C = $57.466 - $5.78 = $51.686
Coupon rate = $51.686 / $1,000 = 0.051686 = 5.17%
