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CFA Level 1
Quantitative Methods

Present Value of Uneven Cash Flows

Medium Time Value Of Money Uneven Cash Flows

Jane is evaluating an investment that will provide the following cash flows at the end of each year for the next four years:

- Year 1: $1,000

- Year 2: $1,500

- Year 3: $2,000

- Year 4: $2,500

If Jane's required rate of return is 8%, what is the present value (PV) of these cash flows?

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

$$ PV = rac{C_1}{(1 + r)^1} + rac{C_2}{(1 + r)^2} + rac{C_3}{(1 + r)^3} + rac{C_4}{(1 + r)^4} $$

Where:

  • $C_t$ = cash inflow during period $t$
  • $r$ = discount rate

Hint

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