Question

A 20-year maturity bond with par value $1,000 makes semiannual coupon payments at a coupon rate of 8%. Find the bond equivalent and effective annual yield to maturity of the bond if the bond price is $950. (Round your intermediate calculations to 4 decimal places. Round your answers to 2 decimal places.)

Answer 1

The bond equivalent yield to maturity = 8.52%

The effective annual yield to maturity of the bond = 8.71%

Step-by-step explanation:

Here, we start with calculating the yield to maturity YTM using the financial calculator

To find the YTM, we need to put the following values in the financial calculator:

N = 20*2 = 40;

PV = -950;

PMT = [8%/2]*1000 = 40;

FV = 1000;

Press CPT, then I/Y, which gives us 4.26

So, Periodic Rate = 4.26%

Bond equivalent yield = Periodic Rate * No. of compounding periods in a year

= 4.26% * 2 = 8.52%

effective annual yield rate = [1 + Periodic Rate]^(No. of compounding periods in a year) - 1

= [1 + 0.0426]^2 - 1 = 1.0871 - 1 = 0.0871, or 8.71%