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    Net Present Value (NPV)

    Think of NPV as the answer to 'is this investment worth it?' — you add up all the future cash you expect to receive, discount it back to today's dollars, and subtract what you paid. If the number is positive, you created value.

    Definition

    Net Present Value (NPV) is the difference between the present value of all expected future cash flows and the initial investment cost. A positive NPV means the project is expected to create value; a negative NPV means it destroys value. NPV is the foundation of discounted cash flow analysis.

    Formula

    NPV = -Initial Investment + CF₁/(1+r)¹ + CF₂/(1+r)² + ... + CFₙ/(1+r)ⁿ
    
    Where:
    CF = Cash flow in each period
    r = Discount rate
    n = Number of periods
    DCF

    Time Value of Money

    Future cash flows are worth less today (WACC = 10%)

    Nominal

    $100M

    PV: $91M

    Year 1

    Nominal

    $110M

    PV: $91M

    Year 2

    Nominal

    $121M

    PV: $91M

    Year 3

    Nominal

    $133M

    PV: $91M

    Year 4

    Nominal

    $146M

    PV: $91M

    Year 5

    Nominal

    $2.2B

    PV: $1.4B

    Terminal
    Nominal (Future) Value
    Present Value (Discounted)
    TV

    Terminal Value Dominates

    TV is typically 60-80% of total DCF value

    75%Terminal Value
    PV of Terminal Value

    $1.4B

    75% of total enterprise value

    PV of Projected FCFs

    $453M

    25% of total enterprise value

    Key takeaway: Because terminal value is so dominant, small changes in growth rate or exit multiple assumptions can dramatically swing the total valuation.

    The Time Value of Money

    NPV is rooted in the principle that a dollar today is worth more than a dollar tomorrow. This is because today's dollar can be invested to earn a return. The discount rate used in NPV reflects the opportunity cost of capital — the return you could earn on an alternative investment of similar risk. In corporate finance, this discount rate is typically WACC. In private equity, it's the fund's required return (usually 20–25%). The higher the discount rate, the lower the NPV.

    NPV Decision Rule

    Accept any project with NPV > 0 and reject any project with NPV < 0. When comparing mutually exclusive projects, choose the one with the highest NPV. This rule is superior to IRR in most cases because NPV measures absolute value creation in dollars, while IRR only measures percentage return. A project that costs $100M and has an IRR of 15% creates more value than a project that costs $1M with an IRR of 50%, assuming the cost of capital is 10%.

    NPV vs. IRR

    NPV and IRR usually agree on accept/reject decisions, but they can conflict when comparing projects of different sizes or timing. NPV is generally preferred because it avoids the problems of multiple IRRs (which occur with non-conventional cash flows) and the reinvestment rate assumption (IRR assumes intermediate cash flows are reinvested at the IRR, while NPV assumes reinvestment at WACC — a more realistic assumption). That said, PE professionals favor IRR because fund returns are measured as IRRs.

    Practical Applications

    In investment banking, NPV underpins the DCF valuation methodology. The enterprise value in a DCF is simply the NPV of projected free cash flows plus terminal value. In corporate finance, companies use NPV to evaluate capital budgeting decisions — should we build a new factory? Acquire a competitor? Launch a new product? In each case, you project the incremental cash flows, discount at WACC, and check if NPV is positive.

    Worked Example — With Real Numbers

    A project costs $1M upfront and generates $350K per year for 4 years. At a 10% discount rate: NPV = -$1,000K + $350K/1.10 + $350K/1.21 + $350K/1.331 + $350K/1.464 = -$1,000K + $318K + $289K + $263K + $239K = $109K. Since NPV > 0, the project creates value.

    Key Takeaways

    1

    NPV is the gold standard for capital budgeting — accept projects with NPV > 0, reject those with NPV < 0

    2

    The discount rate reflects opportunity cost: what you could earn on an alternative investment of similar risk

    3

    NPV measures absolute value creation in dollars, making it superior to IRR for comparing projects of different sizes

    4

    A DCF valuation is essentially an NPV calculation — enterprise value is the NPV of projected free cash flows plus terminal value

    5

    Higher discount rates mean lower NPVs — the riskier the project, the more future cash flows are penalized

    Common Mistakes in Interviews

    Comparing projects using only IRR instead of NPV — a small project with 50% IRR creates less value than a large project with 20% IRR

    Using the wrong discount rate — corporate projects use WACC, while PE investments use the fund's required return

    Forgetting that NPV assumes reinvestment at WACC, while IRR assumes reinvestment at the IRR itself (often unrealistic)

    Not discounting terminal value back to present — terminal value must be discounted just like every other cash flow

    How Interviewers Test This

    You'll likely be asked 'What is NPV and why is it important?' or 'NPV vs. IRR — which is better?' The answer is NPV for capital budgeting decisions (it measures absolute value creation), but acknowledge that IRR is preferred in PE for benchmarking fund returns. Always mention the time value of money as the underlying concept. Use the DCF Calculator to practice NPV calculations.

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