(Mock 2014 version c) To calculate the total return on:
a bond with a beginning price of $103, a 5% semiannual coupon, an expected price at the end of one year of $102.5, and an annual reinvestment rate of 2%.
Step 1: The total value in 1 year = 2.5 + 2.5(1+2%/2) + 102.5 = 107.525
BEY does not assume compounding. That’s why it’s lower. BEY is an annualized figure that allows you to compare quarterly and semi-annually pay bonds to annual pay bonds. As we know, the more you compound a return, the higher it will be. BEY simply removes the compounding component on the first coupon payment.
They’re going to tell us, especially if it’s a multiple choice question. If you see a question like this on the exam you are very likely to see two answers that are close in value. BEY is always lower than EAR for semi-annual bonds.