In: Finance
The current zero-coupon yield curve for risk-free bonds is as follows:
| 
 Maturity (years)  | 
 1  | 
 2  | 
 3  | 
 4  | 
 5  | 
| 
 YTM  | 
 4.99%  | 
 5.55%  | 
 5.79%  | 
 5.96%  | 
 6.09%  | 
What is the price per $100 face value of a two-year, zero-coupon, risk-free bond?
r1 = 4.99%
r2 = 5.55%
FV = 100
Price = FV/(1 + r2) * 1/(1 + r1)
Price = 100/(1 + 0.0555) * 1/(1 + 0.0499)
Price = 94.7418285173 * 0.952471664
Price = $90.2389070583