Question

Treasury spot interest rates are as follows: Maturity (years) 1 2 3 4 Spot rate (EAR) 1.4% 2.8% 3.6% 4.5% What is the price of a risk-free zero-coupon bond with 3 years to maturity and a face value of $1,000 (in $)? (answer,0+ decimals)

Answer 1

Answer: $868

Explanation:

Given the following :

Maturity (years) - - - - - - 1 - - 2 - - - 3 - - - 4

Spot rate (EAR) - - - - 1.4% - 2.8% - 3.6% - - 4.5%

What is the price of a risk-free zero-coupon bond with 3 years to maturity and a face value of $1,000 (in $)?

Face value / ( 1 + spot rate)^p+1

Where P = year

=1000/(1+3.6%)^4

1000 / ( 1 + 0.036)^4

1000/(1.036)^4

1000/1.151964303616

=$868.08245