Respuesta :
Answer:
imputed interest income for first year is $18.85
imputed interest income for second year is $19.89
imputed interest income for last year is $52.14
Explanation:
given data
maturity time = 20 year
yield to maturity = 5.5%
face value $1,000
solution
first we get here constant yield for year 0 , 1 , 2 , 19, 20
constant yield = [tex]\frac{face\ value}{(1+r)^t}[/tex] ............1
constant yield for year 0 so maturity time = 20
constant yield for year 0 = [tex]\frac{1000}{(1+0.055)^{20}}[/tex] = 342.72
constant yield for year 1 = [tex]\frac{1000}{(1+0.055)^{19}}[/tex] = 361.57
constant yield for year 2 = [tex]\frac{1000}{(1+0.055)^{18}}[/tex] = 381.46
constant yield for year 19 = [tex]\frac{1000}{(1+0.055)^{1}}[/tex] = 947.86
constant yield for year 20 = [tex]\frac{1000}{(1+0.055)^{0}}[/tex] = 1000
so imputed interest income for first year is = 361.57 - 342.72 = $18.85
and imputed interest income for second year is = 381.46 - 361.57 = $19.89
and imputed interest income for last year is = 1000 - 947.86 = $52.14
