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Net Present Value (NPV)
Net Present Value (NPV)
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Net Present Value (NPV)
The Numbers
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This calculator provides estimates for informational purposes only and does not constitute financial, medical, legal, or tax advice. Always consult a qualified professional about your specific situation.
Discounting a Series of Future Cash Flows Back to Today
Net present value (NPV) is the sum of a series of future cash flows, each discounted back to
today’s dollars, minus the upfront investment. Enter your initial investment, a discount rate,
and the cash flow expected each period, and this calculator finds the present value of those
future cash flows and the resulting NPV.
A positive NPV means the investment is expected to be worth more than simply earning the discount
rate elsewhere — it’s worth taking. A negative NPV means it isn’t. This is the standard decision
rule capital budgeting uses to compare projects with very different cash-flow shapes on equal
footing.
Key Factors to Consider
A bigger NPV isn’t automatically the better investment when comparing projects of different
sizes. A project requiring a much larger upfront investment can show a bigger dollar NPV
without actually being the more efficient use of capital — pairing NPV with a return-based
measure like IRR, or NPV per dollar invested, gives a fuller comparison when projects differ
significantly in scale.
The go/no-go decision can be sensitive to the discount rate chosen. Like present value, NPV
can flip from positive to negative within a plausible range of rates — checking the result at a
couple of different reasonable rates (“sensitivity analysis”) shows how much the decision
actually depends on that one assumption.
The cash flow estimates themselves are usually the biggest real-world source of uncertainty,
not the discounting math. The formula is exact given its inputs, but future cash flows are
projections — a technically positive-NPV investment can still lose money in practice if actual
cash flows come in below what was assumed.
Choosing between projects depends on whether they’re mutually exclusive or independent. When
only one of several projects can be done, pick the highest NPV among them. When multiple projects
could all be funded independently, any positive-NPV project is worth taking on its own merits,
subject to available capital.
The Formula
NPV=t=1∑n(1+r)tCash Flowt−Initial Investment
Where $r$ is the discount rate per period and $t$ is the period number, so a cash flow further in
the future is discounted more heavily than one arriving sooner.
Worked Example
An investment of $10,000, discounted at 8%, expecting $3,000, $4,000, $5,000, and
$2,000 over the next four years:
NPV: 11,646.35−10,000=1,646.35, a positive NPV — worth taking at an 8% discount
rate.
Common Mistakes
Forgetting to subtract the upfront investment. The sum of discounted cash flows alone is
the present value, not the NPV — NPV is that present value minus what you had to put in to get
those cash flows.
Using a discount rate that doesn’t match the actual decision. A rate that’s too low makes a
mediocre project look attractive; a rate that’s too high can reject a genuinely good one — the
rate should reflect what the money could otherwise earn, not an arbitrary round number.
Treating projected cash flows as certain. The NPV formula is exact given its inputs, but the
cash flow estimates themselves are usually the biggest real-world source of error — a
technically positive NPV can still lose money if actual cash flows fall short.
Comparing NPVs of very differently sized projects without context. A larger project can show
a bigger dollar NPV simply because it involves more capital, not because it’s the better use of
that capital.
Useful to Know
Want to know what rate of return a project implies on its own, rather than assuming one?
Internal Rate of Return (IRR) Calculator solves for the discount rate that makes NPV exactly zero.
Only have a single future lump sum instead of a series of cash flows? Present Value Calculator
handles that simpler case directly.
Curious how long it takes to simply recover the initial investment, ignoring the time value of
money? Payback Period Calculator answers that complementary question.
Descontar una Serie de Flujos de Efectivo Futuros a Hoy
El valor presente neto (VPN) es la suma de una serie de flujos de efectivo futuros, cada uno descontado al valor de hoy, menos la inversión inicial. Ingresa tu inversión inicial, una tasa de descuento y el flujo de efectivo esperado para cada período, y esta calculadora encuentra el valor presente de esos flujos de efectivo futuros y el VPN resultante.
Un VPN positivo significa que se espera que la inversión valga más que simplemente ganar esa tasa en otro lugar — vale la pena. Un VPN negativo significa que no vale la pena. Esta es la regla de decisión estándar que utiliza el presupuesto de capital.
Factores Clave a Considerar
Un VPN más grande no es automáticamente la mejor inversión al comparar proyectos de distinto
tamaño. Un proyecto que requiere una inversión inicial mucho mayor puede mostrar un VPN en
dólares más grande sin ser en realidad el uso más eficiente del capital — combinar el VPN con una
medida basada en rendimiento como la TIR, o el VPN por dólar invertido, da una comparación más
completa cuando los proyectos difieren significativamente en escala.
La decisión de aceptar o rechazar puede ser sensible a la tasa de descuento elegida. Al igual
que el valor presente, el VPN puede pasar de positivo a negativo dentro de un rango plausible de
tasas — verificar el resultado con un par de tasas razonables distintas (“análisis de
sensibilidad”) muestra cuánto depende realmente la decisión de esa única suposición.
Las estimaciones de flujo de efectivo en sí suelen ser la mayor fuente real de incertidumbre,
no las matemáticas de descuento. La fórmula es exacta dados sus datos de entrada, pero los flujos
de efectivo futuros son proyecciones — una inversión técnicamente con VPN positivo aún puede
perder dinero en la práctica si los flujos de efectivo reales resultan menores de lo asumido.
Elegir entre proyectos depende de si son mutuamente excluyentes o independientes. Cuando solo
uno de varios proyectos puede hacerse, elige el VPN más alto entre ellos. Cuando varios proyectos
podrían financiarse todos de forma independiente, cualquier proyecto con VPN positivo vale la
pena por sus propios méritos, sujeto al capital disponible.
La fórmula
VPN=t=1∑n(1+r)tFlujo de Efectivot−Inversioˊn Inicial
Donde $r$ es la tasa de descuento por período y $t$ es el número de período, de modo que un flujo de efectivo más lejano en el futuro se descuenta más que uno próximo.
Ejemplo resuelto
Una inversión de $10,000, descontada al 8%, con $3,000, $4,000, $5,000 y $2,000 esperados durante los próximos cuatro años:
PV≈11,646.35
Valor presente de los flujos de efectivo: aproximadamente $11,646.35.
VPN: 1,646.35, un VPN positivo — vale la pena a una tasa de descuento del 8%.
Errores Comunes
Olvidar restar la inversión inicial. La suma de los flujos de efectivo descontados por sí
sola es el valor presente, no el VPN — el VPN es ese valor presente menos lo que tuviste que
invertir para obtener esos flujos de efectivo.
Usar una tasa de descuento que no coincide con la decisión real. Una tasa demasiado baja
hace que un proyecto mediocre parezca atractivo; una tasa demasiado alta puede rechazar uno
genuinamente bueno — la tasa debe reflejar lo que el dinero podría ganar de otra forma, no un
número redondo arbitrario.
Tratar los flujos de efectivo proyectados como algo seguro. La fórmula del VPN es exacta
dados sus datos de entrada, pero las estimaciones de flujo de efectivo en sí suelen ser la mayor
fuente real de error — una inversión técnicamente con VPN positivo puede seguir perdiendo
dinero si los flujos de efectivo reales resultan menores a lo previsto.
Comparar el VPN de proyectos de tamaños muy distintos sin contexto. Un proyecto más grande
puede mostrar un VPN en dólares más grande simplemente porque involucra más capital, no porque
sea el mejor uso de ese capital.
Útil Saber
¿Quieres saber qué tasa de retorno implica un proyecto por sí solo, en lugar de asumir una?
Calculadora de la Tasa Interna de Retorno (TIR) resuelve la tasa de descuento que hace que el VPN sea
exactamente cero.
¿Solo tienes una suma global futura única en lugar de una serie de flujos de efectivo?
Calculadora de Valor Presente maneja directamente ese caso más simple.
¿Tienes curiosidad por saber cuánto tiempo toma simplemente recuperar la inversión inicial,
ignorando el valor del dinero en el tiempo? Calculadora de Período de Recuperación responde esa
pregunta complementaria.
Net present value (NPV) is the sum of a series of future cash flows, each discounted back to today's dollars at a chosen rate, minus the upfront investment. A positive NPV means the investment is worth taking at that discount rate — it's expected to add value beyond simply earning that rate elsewhere. A negative NPV means it isn't.
How is NPV different from IRR?
NPV takes the discount rate as a known input and tells you the dollar value at that rate. IRR does the reverse — it solves for the UNKNOWN rate that would make NPV work out to exactly zero. Use NPV when you already know your required rate of return and want a dollar figure; use IRR when you want to know what rate an investment implies on its own.
How is NPV different from Present Value?
The Present Value Calculator discounts a SINGLE future lump sum back to today. NPV discounts an entire SERIES of cash flows spread across multiple periods, then subtracts the upfront investment — the natural next step once a project has more than one future payment to account for.
What discount rate should I use?
It depends on the decision. Businesses often use their cost of capital (what it costs to raise the money being invested); an individual comparing investments might use a comparable alternative's expected return. There's no universal correct rate — it's a plain, editable input here, not something this calculator can determine for you.
Should I always pick the project with the highest NPV?
Only when comparing mutually exclusive projects (where only one can be done) -- pick the highest NPV among them. When multiple projects are independent (all could be funded), any positive-NPV project is worth taking on its own merits, and a bigger NPV isn't automatically better if it also required a much larger investment.
How sensitive is NPV to the discount rate?
Often quite sensitive -- a go/no-go decision can flip from positive to negative NPV within a plausible range of rates. It's worth checking the result at a couple of different reasonable discount rates to see how much the decision actually depends on that one assumption.
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