Answer:
A.9.2%
B.8.16%
Explanation:
a. Calculation for the Effective annual rate on three-month T-bill
First step
T-bill =(Par value-Selling amount)/Par value
Let plug in the formula
T-bill =($100,000-$97,820)/$97,820
T-bill =$2,180/$97,820
T-bill =0.02228
Now let calculate for the Effective Annual Interest rate
Effective Annual Interest rate = (1 + 0.02228)^4– 1
Effective Annual Interest rate = (1.02228)^4-1
Effective Annual Interest rate =1.0921-1
Effective Annual Interest rate =0.0921×100
Effective Annual Interest rate=9.2%
B. Calculation for the effective annual interest rate for A 8% coupon bond .
First step
Semi-annual return=8%/2
Semi-annual return=4%
Second step is to calculate for the effective annual interest rate
Using this formula
Effective annual interest rate =(1+Semi-annual return percentage)^2-1
Let plug in the formula
Effective annual interest rate=(1+0.04)^2-1
Effective annual interest rate=(1.04)^2-1
Effective annual interest rate=1.0816-1
Effective annual interest rate=0.0816×100
Effective annual interest rate=8.16%
Therefore the Effective annual rate on three-month T-bill will be 9.2% while that of coupon bond is 8.16%
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