Answer:
a) actual dollar = $60
b) Constant dollar of the 15th payment = $38.710
Explanation:
Facts from the question:
The Face value of the bond = $1,000
Nominal Interest rate = 12% and it compounded annually
General inflation rate = 6%
The question: Determine the 15th interest payment on the bond.
Step 1: The coupon for the amount of semi annual payment is as follows:
Coupon= (Interest rate/ Number of compounding times in a year) x face value of the bond
= (0.12/2) x 1000
= $60 -= Actual dollar amount
Step 2: Determine the 15th payment and this will represent the middle of the 8th year or (7 1/2) year.
To calculate this=
Constant dollar amount of the 15th interest payment
= Actual dollar amount (above) / (1 + inflation rate)∧n
where n= the number of years = 7.5 years
= $60 / (1 + 0.06) ∧7.5
= $60/1.55
= $38.710
This means the constant dollar amount on that 15th payment = $38.710
