Answer:
First Year $ 17.17
Second Year $ 18.53
Last Year $ 74.08
Explanation:
Computation to Find the imputed interest income in: (a) the first year; (b) the second year; and (c) the last year of the bond’s life
Imputed Interest
First step
Using this formula
Imputed interest=(Present Value /1+Yield to maturity)^Numberd of years
Year Years Remaining to Maturity Constant Yield Value ( 1 / 1.08)^n
0 20 (1/1.08)^20= $ 214.54
1 19 (1/1.08)^19=$ 231.71
2 18 (1/1.08)^18=$ 250.24
19 1 (1/1.08)^1=$ 925.92
20 0 (1/1.08)^0=$ 1,000
Second step is to find the Imputed interest for the first year, second year; and the last year of the bond’s life
Year Years Remaining to Maturity Constant Yield Value ( 1 / 1.08)^n =Imputed Interest
0 20 $ 214.54
1 19 $ 231.71 $17.17
($231.71-$214.54)= $17.17
2 18 $ 250.24 $18.53
($250.24-$231.71)=$18.53
19 1 $ 925.92
20 0 $ 1,000 $74.08
($1,000-$925.92) =$74.08
Therefore the imputed interest will be:
First Year $ 17.17
Second Year $ 18.53
Last Year $ 74.08
