Actuarial FM question:

Dave needs to pay $1000 at the end of each year for the next 3 years. He purchased 3 different annual coupon bonds to match the liabilities exactly. The bonds have the following properties:

Bond	Time to Maturity	Coupon Rate
A	1	.04
B	2	X
C	3	.05

All three bonds have a par value of $1,000 and can be redeemed at par. Dave purchased 0.9 of Bond A. Determine the coupon rate of Bond B to match the cash flows of the bonds to the cash flows of the liabilities. Assume fractional bond purchases are allowed.