An investment that costs $5,000 will produce annual cash flows of $3,000 for 3 years. Using a required return of 8%, the investment will generate a NPV of $

The investment will generate a NPV of $2,731.

Step-by-step explanation:

Cost of an investment (PV) = $5,000

Annual cash flows = $3,000

Period of investment = 3 years

Interest rate of return = 8%

Annuity Factor = 2.577 (for 3 years at 8% per year)

Present value of the annuity = $3,000 * 2.577 = $7,731

NPV = Annuity PV minus PV of investment cost

= $7,731 - $5,000

= $2,731

b) The NPV (net present value) of $2,731 is the difference between the present value of the annual cash flows $7,731 and the investment cost of $5,000.  The resulting NPV is positive and the investment should be accepted.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

step-by-step explanation: