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What is Net Present Value (NPV)?
NPV is the sum of all discounted cash flows of a project (inflows minus outflows). It represents the project’s value in today’s money. Formula: NPV = ∑ (Cash Flowₜ ÷ (1+r)ᵗ) – Initial investment. A positive NPV means the project is expected to add value (return exceeds the required rate).
What is the decision rule for NPV?
Accept a project if NPV > 0 (it creates shareholder value); reject if NPV < 0. For mutually exclusive projects, choose the highest NPV. If all NPVs are negative, do not invest.
What does a positive NPV indicate?
A positive NPV indicates the project’s returns exceed the discount rate (cost of capital), meaning it should increase shareholder wealth. The present value of future inflows is greater than the outflow, so value is created.
What is Internal Rate of Return (IRR)?
IRR is the discount rate that makes NPV = 0. It’s the project’s own rate of return. It’s found by solving ∑ (CFₜ/(1+IRR)ᵗ) = 0.
What is the decision rule for IRR?
Accept the project if IRR > required return (hurdle rate, typically the cost of capital), and reject if IRR < required return.
Why can IRR be misleading for comparing projects?
IRR can be misleading if projects differ in scale or timing. A smaller project might have a higher IRR but contribute less total value than a larger project with a slightly lower IRR. Also, non-conventional cash flows can give multiple IRRs or none.
What is the payback period?
The payback period is the time required for cumulative project cash flows to recover the initial investment.
What is a major drawback of the payback method?
Payback ignores the time value of money (no discounting) and ignores cash flows after the cutoff.
What is the discounted payback period?
The discounted payback is the time for cumulative discounted cash flows to equal the initial investment.
How does discounted payback improve on simple payback?
Discounted payback considers the time value of money by discounting cash flows, giving a more realistic breakeven timing.
What is the Profitability Index (PI)?
PI is the ratio of present value of future cash inflows to the initial investment. Formula: PI = PV(inflows) / PV(outflows) = 1 + (NPV/Initial Cost). A PI > 1 means the project has positive NPV.
When is the Profitability Index especially useful?
PI is useful in capital rationing situations – when funds are limited, it helps rank projects by efficiency (NPV per € invested).
Name one advantage of the NPV method.
NPV accounts for time value of money and includes all cash flows over the project’s life.
Name one disadvantage of the NPV method.
A drawback of NPV is that it requires an estimate of the discount rate (cost of capital), which can be difficult or uncertain.
Name one advantage of the IRR method.
IRR is often appreciated for its intuitive interpretation as a percentage return.
Name one disadvantage of the IRR method.
IRR cannot be used reliably for mutually exclusive projects – it may give a different ranking than NPV.
Name one advantage of the payback method.
Payback is simple and quick to calculate.
Name one disadvantage of the payback method.
It ignores time value and any cash flows after the payback cutoff.
What is the cost of capital?
The cost of capital is the required return that a company must earn on its investment projects to maintain its market value.
What is the Weighted Average Cost of Capital (WACC)?
WACC is the blended average required return on a firm’s debt and equity.
How do you calculate WACC?
WACC = (E / (D + E)) * kₑ + (D / (D + E)) * kₑ(1 - T).
Why do we use the after-tax cost of debt in WACC?
Because interest is tax-deductible for companies.
How can the cost of debt be estimated?
Typically by the yield to maturity on the company’s existing bonds or the interest rate on new debt of similar risk.
What is the cost of equity?
The cost of equity is the required rate of return for equity investors.