Answer:
1st year 30932.55
2nd year 33097.83
3rd year 35414.68
4th year 37893.71
5th year 40546.27
Explanation:
We need to solve for the value of a growing annuity
[tex]FV =C \times \frac{1-(1+g)^{n}\times (1+r)^{-n} }{r - g}[/tex]
As the formula give the uture value, we solve for the future value of 120,000 in 5 years:
120,000 x 1.14^5 = 231,049.75
Now we plug the know values in the formula and sovle for the installment
growth rate: 0.07
interest rate 0.14
time = n = 5
FV = 231,049.75
[tex]231,049.75 =C \times \frac{1-(1+0.07)^{5}\times (1+0.14)^{-5} }{0.14 - 0.07}[/tex]
C = 30932.55
Now we multiply these payment by the grow rate per annum to get hte five of it
30,932.55 x 1.07 = 33097.83
33097.83 x 1.07 = 35414.68
35414.68 x 1.07 = 37893.71
37893.71 x 1.07 = 40546.27