Question

Nutech Corp. is expecting the following cash flows—$79,000, $112,000, $164,000, $84,000, and $242,000—over the next five years. If the company’s opportunity cost of capital is 15 percent, what is the present value of these cash flows? (Round to the nearest dollar.)

Answer 1

Answer:

$429,560

Explanation:

Present value will be calculated through the PV formula,

$PV = \frac{C1}{1+r} + \frac{C2}{(1+r)^{2} } + \frac{C3}{(1+r)^{3}} + \frac{C4}{(1+r)^{4}} + \frac{C5}{(1+r)^{5}}$

r = 15%

C1 = $79,000 ,C2 = $112,000 ,C3 = $164,000 ,C4 = $84,000 ,C5 = $242,000

Substituting the values in the formula,

$PV = \frac{79,000}{1.15} + \frac{112,000}{(1.15)^{2} } + \frac{164,000}{(1.15)^{3}} + \frac{84,000}{(1.15)^{4}} + \frac{242,000}{(1.15)^{5}}$

PV = 68,695.66 + 84,688 + 107,838 + 48,030.2 + 120,338.14

PV = $429,560

The present value of the cash flows of Nutech Corp. over the next five years is $429,560.