An FI Manager Purchases a Zero-Coupon Bond That Has Two

An FI manager purchases a zero-coupon bond that has two years to maturity.The manager paid $826.45 per $1,000 for the bond.The current yield on a one-year bond of equal risk is 9 percent,and the one-year rate in one year is expected to be either 11.60 percent or 10.40 percent.Either rate is equally probable.

Given the exercise price of the option,what premium should be paid for this option?

A) $2.2339 per $1,000 of bond option purchased.
B) $4.0275 per $1,000 of bond option purchased.
C) $2.2752 per $1,000 of bond option purchased.
D) $2.2156 per $1,000 of bond option purchased.