Answer:1)10.94years , 2.) 8.90 years 3) 17.96years 4) 21.84years
Explanation:
Using the formula
FV = PV (1 + r)ⁿ
where
PV=present value
r=interest rate
n =number of periods
FV = future value.
Present Value Years Interest Rate Future Value
$600 ? 8% $1,393
850 ? 12 2,330
18,800 ? 18 367,247
21,900 ? 14 382,983
Using FV = PV (1 + r)ⁿ, The number of years can be calculated
FV/PV = (1 + r)ⁿ
FV/PV/ 1+r = eⁿ
In FV/PV / In ( 1+ r) = n
1)
n ( Number of years )=In FV/PV / In ( 1+ r)
=In ( 1,393/600) / In ( 1+ 0.08)
0.84228/0.07696
=10.94years
2.
n ( Number of years )=In FV/PV / In ( 1+ r)
=In (2330/850) / In ( 1+ 0.12)
1.00837625/0.113328685
=8.90 years
3.
n ( Number of years )=In FV/PV / In ( 1+ r)
=In (367,247/ 18,800) / In ( 1+ 0.18)
2.97217778/0.165514438
=17.96years
4.
n ( Number of years )=In FV/PV / In ( 1+ r)
=In ( 382,983/ 21,900) / In ( 1+ 0.14)
2.86150396/0.131028262
=21.84 years
