Answer:
Mark will have $19,878.70 at the end of six years
Explanation:
Use the following formula to calculate the present value of cash flows
PV = [tex]A [\frac{1 - (\frac{1+g}{1+r})^n }{r - g} ][/tex]
Where
A = Investment = $2,000
g = growth rate = 4%
r = 15%
n = 6
Placing values in the formula
PV = [tex]2,000 [\frac{1 - (\frac{1+0.06}{1+0.15})^6 }{0.15 - 0.06} ][/tex]
PV = $8,594.11
Now calculate the future value in order to determine the amount Mark will have at the ned of six years
Future value = [tex]PV ( 1 + r )^n[/tex]
Where
PV = $8,594.11
r = 15%
n = 6
Placing values in the formula
Future value = [tex]8,594.11 ( 1 + 0.15 )^6[/tex]
Future value = $19,878.70
