Fixed income question forward and spot rates, help please

Given the following spot and forward rates, how much should an investor pay
for each $100 of a 5-year, annual zero-coupon bond?
.
One-year spot rate is 4.25%
.The 1-year forward rate 1 year from today is 9.75%
.The 1-year forward rate 2 years from today is 17.90%
.The 2-year forward rate 3 years from today is 22.13%
The investor should pay approximately:
a.$76
b.$44
c.$61

I got 49.71 but there is no that answer.

I get the same answer as you.

Where did you get this question?

Did you check their errata?

its from my collegue not from CFA especifically, well i do not know whats going on

Tell your colleague that I said that he owes you USD 5 for messing up the question. :smirk:

I mean, I wanted to say “college”, not “colleague”. xD

It’s going to be harder to get money out of them, alas.