You are making a $120,000 investment and feel that a 10 percent rate of return is reasonable given the nature of the risks invol
ved. you feel you will receive $48,000 in the first year, $54,000 in the second year, and $56,000 in the third year. you expect to pay out $12,000 as an additional investment in the fourth year. what is the net present value of this investment given your expectations
1 answer:
Net Present Value is the difference between the present value of cash flows and the initial investment.
Net Present Value = Present Value of cash flows - Initial Investment
The following image shows the Net Present value of the cash flows:
Net Present Value = $122,142 - $120,000
Net Present Value = $2,142
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Answer:
i. Discounted cashflow equations.
a. $180,000 at the end of five years.
This is a lump sum present value/ discounted cashflow which can be calculated as;
Formula = 180,000 / ( 1 + r)^n
= 180,000/ ( 1 + 12%)^5
= $102,136.83
b. $11,400 a year forever
This is a perpetuity. The present value/ discounted cashflow of a perpetuity is calculated as;
Formula = Amount/rate
= 11,400/12%
= $95,000
c. $19,000 for each of 10 years.
This is an annuity. The formula for calculating the Present value/ discounted cashflow of an annuity is;
where <em>i </em>is interest rate and <em>n</em> is number of periods
= $107,354.24
d. $6,500 next year and increasing thereafter by 5% a year forever.
This is a growing perpetuity. The present value/ discounted cashflow formula is;
= Amount / ( discount rate - growth rate)
= 6,500 / ( 12% - 5%)
= $92,857.14
ii. Choose <u>$19,000 for each of 10 years</u> as it has the highest present value.