Asked by fran taylor
A thirty year US Treasury bond has a 4.0% interest rate.In contrast a ten year treasury bond has an interest rate of 3.7%. If inflation is expected to average 1.5% points over both the next ten years and thirty years, determine the maturity risk premium for the thirty year bond over the ten years bond.
Answers
Answered by
Expert Ace
nominal risk free rate for 10 years = 3.7 + 1.5 = 5.2
nominal risk free rate for 30 years = 4.0 + 1.5 = 5.5
Thus maturity risk premium is 5.5 - 5.2 = 0.3%
It is basically premium for holding bond for longer duration.
nominal risk free rate for 30 years = 4.0 + 1.5 = 5.5
Thus maturity risk premium is 5.5 - 5.2 = 0.3%
It is basically premium for holding bond for longer duration.
Answered by
Expert Ace
r = RR + IP + DRP + MRP + LP or RR + IP + DRP + MRP + LP = r
30 year bond 10 year bond
r = 4.0% r = 3.7%
IP = 1.5% IP = 1.5%
4.0 + 1.5 = 5.5% 3.7 + 1.5 = 5.2%
= 0.3%
30 year
= (1 + 0.04)*(1 + 0.015) - 1
1.04 * 1.015 = 1.0556
1.0556 - 1 = 0.0556 or 5.56%
= 5.56% for nominal risk free interest rate
10 year
= (1 + 0.037)*(1 + 0.015) - 1
1.037 * 1.015 = 1.0525
1.0525 - 1 = 0.05255 or 5.26%
= 5.26% for nominal risk free interest rate
5.56% - 5.26% = 0.3000 or 0.3% (maturity risk preimum)
30 year bond 10 year bond
r = 4.0% r = 3.7%
IP = 1.5% IP = 1.5%
4.0 + 1.5 = 5.5% 3.7 + 1.5 = 5.2%
= 0.3%
30 year
= (1 + 0.04)*(1 + 0.015) - 1
1.04 * 1.015 = 1.0556
1.0556 - 1 = 0.0556 or 5.56%
= 5.56% for nominal risk free interest rate
10 year
= (1 + 0.037)*(1 + 0.015) - 1
1.037 * 1.015 = 1.0525
1.0525 - 1 = 0.05255 or 5.26%
= 5.26% for nominal risk free interest rate
5.56% - 5.26% = 0.3000 or 0.3% (maturity risk preimum)
Answered by
Anonymous
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