How can I calculate the current value of a zero coupon bond? and flemish bond DSCN0501

How can I calculate the current value of a zero coupon bond?

I'm doing research for a paper and I can't seem to figure out how to calculate this. I have a bond pricing model that works for a normal bond but I can't seem to calculate a correct value for a zero coupon with a very long maturity.
The bond is 40,000 Par, matures 12/15/2095. Current bond price is 54.725. I'm trying to calculate what the difference in value will be given a change in fed funds rate from 5.25% to 5% or 4.75%.

Any help would be greatly appreciated. Thanks.
OK, so:
If par is 40,000 and current rate is 5.25%
current value of the bond is
40000/1.0525^89 = 421.010270122258
Current value of the bond is $ 42,101 ?


Thanks, again.


Bond best answer:

Answer by nickfromct
The formula for the curent value of a zero coupon bond is simply the present value of the bond at muturity. Some of your details don't make sense, so please recheck. Anyway, the formula is

Zero coupon bond =Future value/(1+interest rate) ^n

This assumes annual compounding.


PS: $ 42,101 looks good to me for 5.25%.

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