Bond Equivalent Yield Question

I changed the question around so it’s not the same as the mock but how are we supposed to know that this is based on a semiannual basis? I know that EAY is (1+YTM)^(365/t) -1 but since no discount period is given, how do we handle this?

The effective annual yield (EAY) for an investment is 9.0%. Its bond equivalent yield is closest to:

8.80613%

@thanhnguyen504 Isn’t that just annualizing it based off the fact that its semiannual? Wouldn’t the BEY for that be (1 + 0.0880613/2)^2? What was the answer?

I believe this is correct: (someone confirm)

BEY = 2 * [(1+EAY)^.5-1]

so BEY = 2 *[1.09^.5-1] = 8.8061%

EAY= (1+HPR)^365/n

BEY=((1+EAY)^0.5)*2

Makes sense, thanks.

Let’s not get sloppy here:

EAY= (1+HPR)^(365/n) _ − 1 _

BEY=((1+EAY)^0.5 _ − 1 _)*2

+1

S2000Magician, for my first contribution to AF I want to say you are my hero, and every question I’ve googled somehow leads to a proper explanation by you smiley

You’re very kind.

Looks like the “other” BEY from corporate finance/WC management is just simple annualising HPY on a 365 day year