Question

An analyst evaluating securities has obtained the following information. The real rate of interest is 2.8% and is expected to remain constant for the next 5 years. Inflation is expected to be 2.6% next year, 3.6% the following year, 4.6% the third year, and 5.6% every year thereafter. The maturity risk premium is estimated to be 0.1 × (t – 1)%, where t = number of years to maturity. The liquidity premium on relevant 5-year securities is 0.5% and the default risk premium on relevant 5-year securities is 1%.
a. What is the yield on a 1-year T-bill? Round your answer to one decimal place.

b. What is the yield on a 5-year T-bond? Round your answer to one decimal place.

c. What is the yield on a 5-year corporate bond? Round your answer to one decimal place.

Answer 1

An analyst evaluating securities has obtained the following information, which is mathematically given as

• Y1= 4.30%
• Y5= 6.50%
• Y5'= 8%

What are the yield on a 1-year T-bill,  the yield on a 1-year T-bill, and the yield on a 5-year corporate bond?

Generally, the equation for Yield on Corporate Bond is mathematically given as

Y= r* + IP + MRP + DRP + LP

Hence

a) For the yield on a 1-year T-bill

Y1== 2.2% + 2.1%

Y1= 4.30%

b) For  the yield on a 5-year T-bond

Where

IP=  (2.1% + 3.1% + 4.1% + 5.1% + 5.1%)/5 = 3.90%

And

MRP = 0.1*(5-1)

MRP= 0.4%

Y5= 2.2% + 3.90% + 0.4%

Y5= 6.50%

c) For the yield on a 5-year corporate bond

IP = (2.1% + 3.1% + 4.1% + 5.1% + 5.1%)/5

IP= 3.90%

MRP  = 0.4%

DRP = 1%

LP = 0.5%

Therefore

Y5= 2.2% + 3.90% + .4% + 1% + .5%

Y5'= 8%

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