About Syllabus Blog Tools PYQ Quizes

Cost of Retained Earnings


Unit 4: Business Finance

 

What is the Cost of Retained Earnings?

The Cost of Retained Earnings (CRE) is the opportunity cost of reinvesting a company's earnings rather than distributing them as dividends. It’s essentially the rate of return that equity shareholders expect, as these retained earnings belong to them.

While CRE doesn’t involve direct cash outflow (unlike debt or preference shares), it still carries an implied cost—the foregone returns shareholders could earn elsewhere.


Why is the Cost of Retained Earnings Important?

  1. Investment Decisions: It influences the weighted average cost of capital (WACC) and helps assess the feasibility of new projects.
  2. Shareholder Expectations: Ensures that the company reinvests earnings at a rate acceptable to shareholders.
  3. Opportunity Cost: Reinforces the principle of maximizing shareholder wealth.

Formulas for Cost of Retained Earnings

There are multiple methods to calculate CRE. Let’s explore them in detail:

1. Dividend Discount Model (DDM) Without Growth

If the company’s dividends are stable, the formula is:

CRE = Dividend / Market Price of Share

2. Dividend Discount Model (DDM) With Growth

For companies with a steady dividend growth rate, use:

CRE = (Dividend / Market Price of Share) + Growth Rate

Where:

  • Dividend = Annual dividend per share
  • Market Price = Current market price of the share
  • Growth Rate = Expected rate of growth in dividends

3. Earnings Price Ratio

This method relates earnings directly to market price:

CRE = Earnings Per Share (EPS) / Market Price of Share

4. Capital Asset Pricing Model (CAPM)

CAPM incorporates market risk and is useful for companies in volatile markets:

CRE = Risk-Free Rate + Beta × (Market Return - Risk-Free Rate)

Example Calculations

Let’s solidify our understanding with examples.

Example 1: DDM Without Growth

A company pays a dividend of ₹10 per share, and the current market price is ₹200.

CRE = 10 / 200 = 0.05 = 5%

The cost of retained earnings is 5%.


Example 2: DDM With Growth

A company pays a dividend of ₹8 per share, the market price is ₹160, and the expected growth rate is 6%.


CRE = (8 / 160) + 0.06 = 0.05 + 0.06 = 0.11 = 11%

The cost of retained earnings is 11%.


Example 3: Earnings Price Ratio

If the Earnings Per Share (EPS) is ₹12 and the market price is ₹150:


CRE = 12 / 150 = 0.08 = 8%

The cost of retained earnings is 8%.


Example 4: Using CAPM

Assume the following:

  • Risk-Free Rate = 6%
  • Beta = 1.2
  • Market Return = 12%
CRE = 6% + 1.2 × (12% - 6%) = 6% + 7.2% = 13.2%

The cost of retained earnings is 13.2%.


Factors Influencing Cost of Retained Earnings

FactorImpact
Market ConditionsHigher market volatility increases CAPM-based CRE.
Dividend PolicyConsistent dividend payments make DDM more reliable.
Company PerformanceStrong earnings growth lowers CRE as shareholders’ confidence increases.
Risk-Free RateHigher rates increase CAPM-based CRE.

Impact of Growth Rate on DDM-Based CRE

Growth Rate (%)CRE (%)
0%5%
3%8%
5%10%
7%12%

As the growth rate increases, the cost of retained earnings rises proportionally.


Cost of Retained Earnings vs. Cost of Equity

AspectCost of Retained EarningsCost of Equity
NatureImplied/Opportunity costExplicit cost (e.g., dividend payments).
Cash FlowNo cash outflow involved.Involves direct payments to shareholders.
Calculation MethodsDDM, EPS ratio, or CAPM.Similar methods, but explicit focus on dividends.

Importance for UGC NET Aspirants

  1. Numericals: Practice is key! DDM and CAPM-based numericals are common in exams.
  2. Conceptual Clarity: Understand why retained earnings have a cost. It’s all about opportunity cost.
  3. Comparison Skills: Be prepared to compare CRE with cost of equity or debt in MCQs.

Exam Tip

When solving CRE questions, read carefully whether the problem assumes growth in dividends or not. Misinterpreting growth assumptions can lead to incorrect answers.


Recent Posts

View All Posts