In: Finance
The real risk-free rate of interest is 1%, inflation is expected to be 1.5% this year, 2% next year, and 3% per year for the next 5 years. The maturity risk premium is a function of time to maturity = 0.2* (1-t) %. The default risk premium on a corporate bond is 0.9%; and liquidity premium is 0.5%.
a. What is the IP over the next 4 years?
b. Find the yield on a 4-year T-bond.
c. Find the yield on a 4-year corporate bond.
A)average inflation over 4 years : [1.5+2+3+3 ]/4
= 9.5/4
= 2.375% (rounded to 2.38%)
b) yield on a 4-year T-bond. =Risk free rate+ IP +MRP
= 1+ 2.38+ (-.6)
=1+2.38 -.6
= 2.78%
**MRP = .2*(1-4)%
= .2* -3
= -.6%
c) yield on a 4-year corporate bond. =Risk free rate+ IP +MRP + DRP+LP
= 1+2.38 +(-.6) +.9+.5
=1+ 2.38 -.6 +.9+ .5
= 4.18%