An investment currently costs $28,000. If the current inflation rate is 6% and the effective annual rate is 10%, approximately how long will it take for the investment's future value to reach $40,000? (round up to the nearest whole number.

Respuesta :

The time it would take for the future investment to grow to $40,000 is roughly 2.3 years.

The present value = 28000

i = the rate of inflation = 6% = 0.06

f = effective return = 10% = 0.10

F = 40000

d = i+f+if

Take the log of both sides

log0.7 = -nlog1.166

-0.15 = -n0.0166

divide through by 0.0166

n = 0.15/0.066

n = 2.27

Approximately 2.3 years

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