Question

Assume that a machine has a useful life of 9 years, and it loses its real value at a constant rate (i.e. 1/9 of the original value per year). At a 6% interest rate, and including depreciation in the calculation, over a 3 year period a $100,000 investment must earn at least approximately ____ to be economically viable.

Answer 1

$52,435.00

Step-by-step explanation:

After 3 years the future value of 100,000 at 6 percent will be

FV = PV × (1+r)n

=FV = 100,000 x (1 +0.06)3

FV = 100,000 x 1.191016

FV = 119, 101.60

The interest will be 119, 101.60 - 100,000

=19,101.60

The depreciation over 9 year period, per year will be

=1/9 x 100,000

=11, 111.11 per year

3 year depreciation = 33,333.33( 11,111.11 x 3)

The investment must generate at least

19,101.60 + 33,333.33

=$52,434.93

=$52,435.00