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Implied Required Return

Total annualized return implied by the current market P/E for a dividend-paying stock: compounds the dividend yield with the price-appreciation return derived from market P/E, exit P/E, earnings growth, and holding period.

When to use: Use for dividend-paying stocks where part of total return comes from cash distributions rather than price appreciation alone. Compare the implied total return to your hurdle rate to gauge whether the price plus assumed yield clears the bar.

Calculator

Formula

ImpliedR=[(ExitPEP/E×(1+g)n)1/n×(1+DY)]1\text{ImpliedR} = \left[\left(\frac{\text{ExitPE}}{P/E} \times (1+g)^n\right)^{1/n} \times (1+DY)\right] - 1

Variables

SymbolNameDescriptionUnit
ImpliedRImplied Required ReturnRequired return implied by the market price%
PEP/E RatioPrice-to-earnings multipleinteger
ExitPEExit P/E RatioExpected price-to-earnings multiple at exitinteger
gEarnings Growth RateExpected annual EPS growth as a decimal%
nHolding PeriodYears held before exityears
DYDividend YieldAnnual dividend yield as a decimal%

Real-Life Examples

Example 1: Dividend-Paying Compounder

Stock at 18× P/E; assume exit at 18× in 10 years, 6% EPS growth, and a 3% dividend yield. What total return is implied?

Given

PE = 18ExitPE = 18g = 0.06n = 10DY = 0.03

Step-by-Step

1.Inner = (18 / 18) × (1.06)^10 = 1 × 1.7908 = 1.7908
2.Price factor = 1.7908^(1/10) = 1.0600
3.Total factor = 1.0600 × (1 + 0.03) = 1.0600 × 1.03 = 1.0918
4.ImpliedR = 1.0918 − 1 = 0.0918 = 9.18%
Result:0.09

A flat multiple plus 6% earnings growth gives a 6% price-implied return; compounding the 3% dividend yield lifts implied total return to 9.18%.

Example 2: High-Yield Utility

Utility at 14× P/E; assume exit at 14× in 5 years, 3% EPS growth, and a 4% dividend yield.

Given

PE = 14ExitPE = 14g = 0.03n = 5DY = 0.04

Step-by-Step

1.Inner = (14 / 14) × (1.03)^5 = 1 × 1.1593 = 1.1593
2.Price factor = 1.1593^(1/5) = 1.0300
3.Total factor = 1.0300 × (1 + 0.04) = 1.0300 × 1.04 = 1.0712
4.ImpliedR = 1.0712 − 1 = 0.0712 = 7.12%
Result:0.07

Slow-growing utilities lean heavily on the dividend — here the 4% yield more than doubles total return vs. the 3% price-only return.

Frequently Asked Questions

Returns chain multiplicatively: a 6% price return reinvested alongside a 3% yield gives 1.06 × 1.03 − 1 = 9.18%, slightly more than the 9.00% you would get by simple addition. The multiplicative form captures the small reinvestment effect that simple addition omits.

Use the yield based on the current price (trailing dividends ÷ current price). If you expect the payout ratio or yield to drift materially over the holding period, model the dividend stream explicitly with a dividend discount model instead.

For high-yield, slow-growth stocks (utilities, REITs, telecoms) where distributions can be a meaningful slice of total return. For low-yield growth stocks the gap to the price-only return is small.