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CFA Level 1
Quantitative Methods

Present Value Calculation of Future Cash Inflows

Hard Time Value Of Money Present And Future Value

InvestCorp is evaluating a project that requires an initial investment of $50,000. The project's cash inflows for the next five years are expected to be $12,000 in Year 1, $15,000 in Year 2, $18,000 in Year 3, $20,000 in Year 4, and $25,000 in Year 5. If the company's required rate of return is 8%, what is the present value of the future cash inflows from this project?

To calculate the present value (PV) of future cash flows, we use the formula:

$$PV = rac{C}{(1 + r)^n}$$

where:

  • $PV$ = Present Value
  • $C$ = Cash inflow in each period
  • $r$ = Discount rate (8% or 0.08 in decimal)
  • $n$ = Year (1, 2, 3, etc.)

Calculate the present value of each cash inflow and sum them up.

Hint

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