返回列表 发帖

Question about EAY

This has been bothering me for a little while:
I have a 90 day holding period yield of 1.3%.  The annual rate would be:
(1 + 0.013)^(365/90) -1 = 0.0537787
The BDY would be:
2 * [(1 + 0.013)^(365/180) -1] = 0.0530745
along the same lines, if I take the annual rate and try to get back to the BDY:
2 * [(1 +  0.0537787)^(.5) -1] = 0.0530745
HOWEVER, my question is why do I have to use 0.5 as the exponent to get back to the semi-annual rate instead of 180/365?  If I use 180/365 I get a different number:
2 * [(1 +  0.0537787)^(180/365) -1] = 0.0523380

you could use either i guess but 180/365 does not = .5
180/360= .5

TOP

After thinking about this, I guess it is just a matter of convention.  The BDY is 2 * the semi-annual yield so when you have the annual rate of 0.0537787 and you want to go back to semi-annual, you have to think in terms of 1/2 a year so the exponent is 0.5, not 180 days.  
Let me know if my reasoning is incorrect, thanks.

TOP

返回列表