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CFA Level 1
Quantitative Methods

Present Value of Uneven Cash Flows

Very Hard Time Value Of Money Uneven Cash Flows

Consider an investment that will yield uneven cash flows over the next five years. The cash flows are expected to be as follows:

  • Year 1: $2,000
  • Year 2: $3,500
  • Year 3: $5,000
  • Year 4: $4,500
  • Year 5: $6,000

The required rate of return for this investment is 8%. What is the present value (PV) of the investment, rounding your answer to the nearest dollar?

To calculate the present value of uneven cash flows, the formula is:

$$PV = \sum_{t=1}^{n} \frac{CF_t}{(1 + r)^t}$$

where:

  • $$PV$$ = Present Value
  • $$CF_t$$ = Cash Flow in year $$t$$
  • $$r$$ = Discount rate (required rate of return)
  • $$n$$ = Total number of periods

Hint

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