##  [Net Present Value](/net-present-value-0) 

 Definition

A finance concept defining methods and measures used to price assets, evaluate investments, and manage risk. It specifies cash-flow timing, discounting, risk premia, and exposure metrics used in decision-making and reporting. It does not ensure profitability and depends on input quality, model assumptions, and market conditions for reliable use. It supports capital allocation and risk controls by translating uncertainty and time into consistent decision metrics. The concept is generally stable, though market practice and modeling techniques evolve over time.



 

 

 

 

 

 





## Principle

Principle

A project increases firm value if the discounted value of benefits exceeds the discounted cost; maximizing NPV aligns decisions with shareholder wealth maximization under standard assumptions.

 

 

 

 

 





## Demonstration

Demonstration

A project with initial outflow 5,000 and expected inflows of 2,500 each in years one and two discounted at 8% has NPV = -5,000 + 2,500/1.08 + 2,500/1.08^2 = compute positive or negative to decide acceptance.

 

 

 

 

## Misapplication

Misapplication

Calculating NPV while omitting terminal values, ignoring changes in working capital, or using an inconsistent discount rate across cash flows can misstate project profitability.

 

 

 

 

 





## Consequence

Consequence

Using NPV as the decision metric yields a consistent rule: accept projects with positive NPV and rank mutually exclusive projects by NPV to maximize value subject to capital constraints.

 

 

 

 

## Reversal

Reversal

Choosing decision rules that ignore time value (e.g., simple payback) or maximizing internal rate of return rather than NPV can produce conflicting project rankings and suboptimal wealth outcomes.

 

 

 

 

 





## Boundary

Boundary

Valid for comparably measured, monetized cash flows and when discount rates reflect opportunity cost and risk; NPV does not mandate market completeness and abstracts from distributional or non-monetary considerations.

 

 

 

 

 





## Semantic Tension

Semantic Tension

Often contrasted with IRR because they can give different accept/reject signals for nonconventional or mutually exclusive projects; practitioners must understand assumptions behind each method.

 

 

 

 

 





## Synthesis

Synthesis

Net present value aggregates timing, scale and risk into a single metric of net benefit by subtracting discounted costs from discounted benefits, guiding choices that increase economic value.