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CFA Level 1
Quantitative Methods

Present Value of Uneven Cash Flows Calculation

Hard Time Value Of Money Uneven Cash Flows

A company is evaluating an investment that will yield uneven cash flows over the next five years. The expected cash inflows are as follows:

  • Year 1: $4,000
  • Year 2: $6,000
  • Year 3: $5,000
  • Year 4: $7,500
  • Year 5: $3,500

If the company's required rate of return is 10%, what is the present value (PV) of the expected cash inflows from this investment?

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

$$ PV = rac{CF_1}{(1 + r)^1} + rac{CF_2}{(1 + r)^2} + rac{CF_3}{(1 + r)^3} + rac{CF_4}{(1 + r)^4} + rac{CF_5}{(1 + r)^5} $$

where:

  • $$ CF_t $$ = Cash Flow at time $$ t $$
  • $$ r $$ = discount rate

Hint

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