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tatiyna
3 years ago
9

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?
Business
1 answer:
Likurg_2 [28]3 years ago
4 0

Answer:

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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1. A new furnace for your small factory will cost $27,000 to install and will require ongoing maintenance expenditures of $1,500
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Answer:

payback 3.29 years

NPV 87,158.55

Explanation:

PO 27,000

<u>Cash flow saving Y1 </u>

2400 x 3.5 = 8,400

expenditures (1,500)

net savings   6,900

<u>Cash flow saving Y2 </u>

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6,900 + 2,400 x 0.5 = 8,100

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The price will increase 0.5

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We have an annuity of 18 years for 9,300 cash

And then we have a cash flow of 6,900

and another of 8,100

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C = 9,300

r = 8%

time = 18

9,300 \times \frac{1-(1+0.08)^{-18} }{0.08} = PV\\

PV =  87,158.55

Now this values are years into the future, so we need to bring them to present day.

\frac{Principal}{(1 + rate)^{time} } = PV

year 1 principal 6,900

6,900/1.08 = 6,388.89

year 2 principal 8,100

\frac{8,100}{(1 + 0.08)^{2} } = PV

PV= 5,915.64

year 3 annuity 87,158.55

\frac{87,158.55}{(1 + 0.08)^{3} } = PV

PV= 69,189.27

cash flow - investment = net present value

69,189.27 + 5,915.64 + 6,388.89 - 27,000 = 54,493.8

The payback will be the time perdion when the project recovers it initial cost:

we first add the income from the irregular years and subtract from the investment

6,900 + 8,100 = 15,000

27,000 - 15,000 = 12,000

then we use the general formula investment/cash flow per year

12,000/9,300 = 1.29

the project need the first two years and then 1.29 years

2 + 1.29 = 3.29 years

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