##  [Net Present Value](/net-present-value-1) 

 Definition

A corporate finance concept defining how investment decisions and funding choices are evaluated using cash flows and required returns. It governs capital allocation, financing structure, and evaluation of projects or transactions under explicit assumptions about risk and timing. It does not ensure value creation without realistic forecasts, appropriate discounting, and sensitivity analysis on key drivers. It supports careful allocation of capital by translating expected performance into decision metrics that can be evaluated consistently. The concept is generally stable, though market conditions and modeling practices evolve over time.



 

 

 

 

 

 





## Principle

Principle

NPV = Σ (Ct / (1+r)^t) - C0, where Ct are period t net cash flows, r is the discount rate, and C0 is the initial outlay; the NPV rule states that projects with NPV > 0 increase firm value and should be accepted (all else equal).

 

 

 

 

 





## Demonstration

Demonstration

Invest $100 now (C0 = 100) and receive $60 at year 1 and $60 at year 2. At r = 5%, NPV = 60/(1+0.05) + 60/(1+0.05)^2 - 100 = 57.1429 + 54.4218 - 100 = 11.5647, a positive NPV.

 

 

 

 

## Misapplication

Misapplication

Including sunk costs as incremental outflows, using inconsistent discount rates across project cash flows, or ignoring scale and timing differences when comparing projects misapplies NPV.

 

 

 

 

 





## Consequence

Consequence

Correct NPV calculation provides a consistent criterion to accept, reject, or rank mutually exclusive investments and supports value-maximizing capital allocation.

 

 

 

 

## Reversal

Reversal

Relying solely on non-NPV criteria (such as payback period) or choosing based on accounting measures rather than discounted cash flows reverses the value-maximization logic and can select suboptimal projects.

 

 

 

 

 





## Boundary

Boundary

NPV assumes cash flows can be reasonably forecasted and discounted at a representative rate; it does not automatically account for liquidity constraints, capital rationing, or managerial flexibility unless explicitly modeled.

 

 

 

 

 





## Semantic Tension

Semantic Tension

Tension exists between NPV and internal rate of return (IRR) when project cash flows are nonstandard or projects differ in scale; NPV uses an explicit discount rate and is generally preferred for value maximization.

 

 

 

 

 





## Synthesis

Synthesis

Net present value aggregates discounted future gains and costs into a single present metric: when computed with an appropriate discount rate and correct incremental cash flows, NPV indicates whether an investment adds economic value.