💰 MPS Calculator

Calculate Marginal Propensity to Save

How much saving increased or decreased

How much disposable income increased or decreased

How to Use This Calculator

1

Enter Change in Saving

Input how much saving increased or decreased when income changed (e.g., if saving increased by $200 when income increased by $1,000, enter 200).

2

Enter Change in Income

Input how much disposable income increased or decreased (e.g., if income increased by $1,000, enter 1000).

3

Review Results

See the MPS (what fraction of additional income is saved), MPC (what fraction is consumed), and the spending multiplier.

Formula

MPS = ΔS / ΔY

Where: ΔS = Change in Saving, ΔY = Change in Disposable Income

MPC = 1 - MPS

Spending Multiplier = 1 / MPS

Example 1: Basic Calculation

Change in Saving: $200

Change in Income: $1,000

MPS = $200 / $1,000 = 0.2

This means 20% of additional income is saved

MPC = 1 - 0.2 = 0.8 (80% is consumed)

Spending Multiplier = 1 / 0.2 = 5x

Example 2: Higher MPS

Change in Saving: $400

Change in Income: $1,000

MPS = $400 / $1,000 = 0.4

MPC = 0.6, Spending Multiplier = 2.5x

About MPS Calculator

The MPS (Marginal Propensity to Save) Calculator calculates the proportion of additional income that is saved rather than consumed. MPS is a fundamental concept in macroeconomics, representing how much saving changes when disposable income changes by one dollar. It's the complement of MPC (Marginal Propensity to Consume) and is essential for understanding saving behavior, economic multipliers, and fiscal policy effectiveness.

MPS measures the sensitivity of saving to changes in income. If MPS is 0.2, it means that for every additional dollar of income, 20 cents is saved and 80 cents is consumed. MPS is always between 0 and 1, and together with MPC, they must sum to 1, since additional income can only be consumed or saved.

This calculator is essential for economists, students, policymakers, and anyone studying macroeconomics. It helps understand saving patterns, calculate spending multipliers, evaluate fiscal policy, and analyze how changes in income affect the economy through saving behavior.

When to Use This Calculator

  • Economic Analysis: Analyze saving behavior and income effects
  • Fiscal Policy: Evaluate the effectiveness of fiscal stimulus and tax policies
  • Multiplier Calculations: Calculate spending multipliers (1/MPS) for economic modeling
  • Academic Study: Learn about saving functions and Keynesian economics
  • Economic Forecasting: Predict saving changes from income changes
  • Policy Evaluation: Assess how tax cuts or transfers affect saving

Why Use Our Calculator?

  • ✅ Accurate Calculations: Uses the standard MPS formula
  • ✅ Comprehensive: Also calculates MPC and spending multiplier
  • ✅ Educational: Helps understand macroeconomic concepts
  • ✅ Easy to Use: Simple interface for quick calculations
  • ✅ Free Tool: No registration or fees required
  • ✅ Validated: Checks that MPS is between 0 and 1

Understanding MPS

MPS is a key concept in Keynesian economics and is the complement of MPC. It represents the slope of the saving function - the relationship between saving and disposable income. A higher MPS means people save a larger fraction of additional income, which reduces the spending multiplier and makes fiscal policy less effective (since more money is saved rather than spent).

MPS typically ranges from 0.1 to 0.4 in developed economies, meaning 10-40% of additional income is saved. Higher-income households typically have higher MPSs because they save a larger fraction of additional income. Lower-income households often have lower MPSs (higher MPCs) because they spend more of additional income on necessities.

Real-World Applications

Fiscal Stimulus: If the government gives $1,000 to households with an MPS of 0.2, $200 will be saved initially and $800 will be spent. With a spending multiplier of 5 (1/MPS), this could generate significant economic activity, but higher MPS means less initial spending.

Tax Cuts: A $1,000 tax cut with MPS of 0.25 means $250 is saved and $750 is consumed. The spending multiplier (4x) determines the total economic impact, helping policymakers evaluate the effectiveness of tax policy.

Income Changes: If disposable income increases by $10,000 and MPS is 0.2, saving increases by $2,000 and consumption increases by $8,000. This helps predict saving patterns and economic growth.

Important Considerations

  • MPS must be between 0 and 1 (0% to 100% of additional income)
  • MPS + MPC = 1 (all additional income is either saved or consumed)
  • MPS can vary by income level, age, economic conditions, and other factors
  • Higher MPS means smaller spending multipliers (multiplier = 1/MPS)
  • MPS may be different for temporary vs. permanent income changes
  • Actual MPS can be estimated from saving and income data

Frequently Asked Questions

What is MPS?

MPS (Marginal Propensity to Save) is the fraction of additional disposable income that is saved. If MPS is 0.2, it means 20% of each additional dollar of income is saved and 80% is consumed.

What is the relationship between MPS and MPC?

MPS + MPC = 1. Since additional income can only be saved or consumed, the marginal propensity to save plus the marginal propensity to consume must equal 1 (or 100%). If MPS is 0.2, then MPC is 0.8.

What is a typical MPS value?

MPS typically ranges from 0.1 to 0.4 in developed economies, meaning 10-40% of additional income is saved. Higher-income households tend to have higher MPSs (save more), while lower-income households often have lower MPSs (consume more of additional income).

How does MPS affect the spending multiplier?

The spending multiplier equals 1 / MPS. Higher MPS means a smaller multiplier. For example, if MPS is 0.2, the multiplier is 5x. If MPS is 0.4, the multiplier is 2.5x. Higher MPS means less spending and smaller multipliers, making fiscal policy less effective.

Can MPS be greater than 1?

No, MPS cannot be greater than 1. If MPS were greater than 1, it would mean people save more than their additional income, which would require reducing consumption below previous levels. MPS must be between 0 and 1.

How is MPS used in fiscal policy?

MPS is used to evaluate the effectiveness of fiscal policy. If the government increases spending or cuts taxes by $1 billion and MPS is 0.2, only $800 million is initially spent (the rest is saved). The spending multiplier (5x) determines total economic impact, but higher MPS reduces the effectiveness of fiscal stimulus.