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Value Function Cost

Reference data and engineering information about value function cost for economics applications.

valuefunctioncost

Overview

Engineering reference data for Value Function Cost in economics.

Key Formulas

Present Value

PV=FV(1+r)nPV = \frac{FV}{(1+r)^n}

Discount a future value to present.

Net Present Value

NPV=∑t=0nCt(1+r)tNPV = \sum_{t=0}^{n} \frac{C_t}{(1+r)^t}

Sum of discounted cash flows.

Compound Interest

FV=PV(1+r)nFV = PV(1+r)^n

Future value with compound interest.

Variables

Symbol Description Unit
PVPV Present value $
FVFV Future value $
rr Interest/discount rate —
nn Number of periods years

Understanding the Value Equation

The equation V = F / C establishes a fundamental relationship. Value (V) is directly proportional to the function (F) provided and inversely proportional to the cost (C) required to achieve that function. This relationship has two key implications:

  1. Enhancing Function: Increasing the performance, reliability, or utility of a product or service (F↑) while holding cost constant will increase its value (V↑).
  2. Optimizing Cost: Reducing the resources, time, or expenditure required (C↓) to deliver the same level of function will increase its value (V↑).

Strategies for Value Improvement

In practice, Value Engineering applies the V = F / C model through four primary strategies:

  • Function-Cost Reduction: Maintaining the same required function (F→) while lowering cost (C↓). This is often achieved through material substitution, process optimization, or design simplification.
  • Cost-Function Enhancement: Increasing the function (F↑) while keeping cost constant (C→). This could involve adding a feature that significantly improves user experience without major cost additions.
  • Major Function Increase: Achieving a substantial increase in function (F↑↑) for a proportionally smaller increase in cost (C↑). This represents a high-value leap, such as a new technology that dramatically outperforms the previous standard.
  • Slight Function Reduction with Major Cost Savings: Accepting a slight decrease in non-critical function (F↓) that enables a major cost reduction (C↓↓), resulting in a net increase in overall value.

References