Question

If the discount rate is 10 percent, what is the present value of these cash flows? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What is the present value at 18 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What is the present value at 24 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answer 1

Answer:

there are no cash flows given, so I will use another question as an example:

NCF year 0 = -$1,150,000

NCF year 1 = $275,000

NCF year 2 = $275,000

NCF year 3 = $275,000

NCF year 4 = $275,000

NCF year 5 = $275,000

NCF year 6 = $275,000

NCF year 7 = $275,000

a) when cash flows are the same for all the years, you can use an ordinary annuity factor:

PV = $275,000 x 4.86842 (PV annuity factor, 10%, 7 periods) = $1,338,815.50

NPV = -$1,150,000 + $1,338,815.50 = $188,815.50

b) PV = $275,000 x 3.81153 (PV annuity factor, 18%, 7 periods) = $1,048,170.75

NPV = -$1,150,000 + $1,048,170.75 = -$101,829.25

c) PV = $275,000 x 3.24232 (PV annuity factor, 18%, 7 periods) = $891,638

NPV = -$1,150,000 + $891,638 = -$258,362

If the cash flows are different, then you must discount each cash flow individually.

E.g. NCF year 0 = -$150,000

NCF year 1 = $75,000

NCF year 2 = $85,000

NCF year 3 = $95,000

NPV = -$150,000 + $75,000/1.1 + $85,000/1.1² + $95,000/1.1³ = $59,804.66