Smart Solutions Inc. is evaluating a capital project for expansion. The project costs $10,000, and it is expected to generate $5,000 per year for three years. If the firm's required rate of return is 10 percent, what is the project's terminal value?

d) $16,550

Explanation:

First, The multiple options to the question

a)$12,500

b) $11,550

c) $14,050

d) $16,550

e) $15,000

Question: To determine the terminal value of the project

What do we know:

The Cash flow from the project is $5,000 per year and the rate is 10%

To determine the future value per year is as follows

Year 1 = (1+r)∧2= (1+0.1)∧2= 1.21

Year 2 = (1+r)∧1= (1+0.1)∧1= 1.1

Year 3 = (1+r)∧0= (1+0.1)∧0= 1

Based on these determinations, we determine the yearly value as follows

Year 1= 5,000 (1.21) = $6,050

Year 2 = 5,000 (1.1)= $5,500

Year 3= 5,000 (1) -= $5000

The terminal value = The total of the three years

= $6,050 + $5,500 + $5,000

= $16,550

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