Swaption - EOC Problem 11 (Page 291

Getting killed by Derivatives… For question #11

Looking at the answer, i got everything right up until they calculate the market value at expiration of the receiver swaption. They are taking the difference between the swapotion rate of 6.5% and the market rate at expiration of 5.3%. Got that, but then they mutiple this difference by the sum of the PV factors (3.88) which gives a value of .012. They then multiple this amount by the notional pricing of 100m to get a market value of 1.2m.

I did it differently. I took the difference between the 6.5% and the 5.3% and used this to calculate the quaterly cash flow payments, and then discounted these payments by each corresponding PV factor. Therefore, my answer is slightly lower at $1.194m. Can anyone help me understand what i’m doing wrong? Hoping the book has a mistake but I doubt it

A little rounding errors are fine especially If the difference is only 0.006! Not to worry

Yea i’m noticing that trend through the Swap EOC questions… Looks like I did everything correct when I round my numbers.

5.3 isn’t the right number, make sure you are using the correct number out to the right decimal places if you are looking for that kind of specificity.