A six‐year, 5% semiannual‐pay government bond is priced at 97 per 100 of par value. The annual yield‐to‐maturity (stated annual yield based on monthly compounding) is closest to:

a. 5.532%

b. 5.596%

c. 5.670%

Answer is c. 5.532% but I don’t get it. Can someone please help and see what am I missing? I got 5.74% (see below for my working). What am I not doing right? Thanks in advance!

Below are my workings:

I calculate the yield per semiannual period on the semiannual‐pay bond.

N = 12; PMT = $2.5; FV = $100; PV = −$97; CPT I / Y; I / Y = 2.798%

2.798% is multiplied by 2 to determine the stated annual yield (2.798% × 2 = 5.596%).

I then calculate the monthly compounding using (1 + 5.596%/12)^12 = 1.0574 (5.74%)

Step 3: Calculate STATED rate = 0,0046 x 12 =0,05532

You should first calculate effective monthly yield and than make the stated yield out of it. Stated yield is always period yield x Number of Periods a Year.

2nd I/Y displays P/Y (payments per year): hit 2 and enter. Hit the down arrow to display C/Y (compounding periods per year): hit 12 and enter. 2nd Quit then go about your TVM solve for I/Y.

Thank you all posting question as well as all your answers. I was very confused about the calucation of similar question from my notes. Happy thanksgiving ya’all.