Question

Transent Foods announced that its current sales are $1,233,450 this year. The company forecasts a growth rate of 16 percent for the foreseeable future. How long will it take the firm to produce earnings of $3 million? (Round off to the nearest year.)

Answer 1

Answer:

Approximately 6 years

Explanation:

Use Future value formula to calculate the period:

FV = Target Earning = $3 million

PV = Current Sales = $1,233,450

g = growth of sales = 16%

n = number of years = ?

FV = PV ( 1 + g )^n

$3,000,000 = $1,233,450 x ( 1 + 16% )^n

$3,000,000 / $1,233,450 = ( 1 + 0.16 )^n

2.4322 = 1.06^n

log 2.4322 = log 1.16^n

n = log 2.4322 / log 1.16

n = 5.99

n = 6 years  (Rounded off to nearest whole year)