Question

What is the yield to maturity of a bond that pays a 6% coupon rate with semiannual coupon payments, has a par value of $1,000, matures in 15 years, and is currently selling for $803

Answer 1

Yield to Maturity = 8.11 %

Step-by-step explanation:

The Yield to maturity is the discount rate that equates then price of the bonds to the present of cash inflows expected from the bond

The yield on the bond can be determined as follows using the formula below:

YTM = C + F-P/n) ÷ 1/2 (F+P)

YTM-Yield to maturity-

C- annual coupon

F- Face Value

P- Current Price

n- years to maturity

YTM-?, C- 6%× 1000 =60, Face Value - 1,000, P-803, n- 15

YTM = (60 + (1000-803)/15) ÷ ( 1/2× (1000 + 803) )

YTM = 0.0811 × 100 = 8.11 %

Yield to Maturity = 8.11 %