Equity Yield Sensitivity & Duration Stress-Tester

Market Scenarios:

Asset & Yield Inputs

Model Active

Stock Profile / Archetype

Current 10Y Yield (r_f) 4.25%

Baseline risk-free benchmark discount baseline.

Yield Shock (Δy) +50 bps

Parallel shift in sovereign risk-free yield curve.

Equity Risk Premium (ERP) 4.50%

Required excess return over Treasuries for equity risk.

Terminal Growth (g) 5.50%

Expected multi-year compounded free cash flow trajectory.

Starting P/E

Asset Beta (β)

Valuation Multiple Shock -9.4% P/E 26.0x → 23.6x

Macaulay Equity Duration 22.4 yrs Effective rate sensitivity

Cost of Equity (Ke) 10.25% +60 bps from baseline

P/E Contraction / 100bps -18.8% Convexity: Moderate

Valuation Multiple Curve vs. 10Y Yield High Sensitivity

Interactive discounted cash flow response curve

Cross-Sector Shock Propagation Table

Impact of simulated +50 bps yield shock

Sector / Archetype	Equity Duration	Current P/E	Projected P/E	Multiple Contraction	Market Vulnerability

Why Yields Impact Earlier Market Winners Disproportionately

Market leadership in the early stages of bull runs typically concentrates in high-growth, long-duration equities. When cash flows are projected 10 to 20 years into the future, their present value is mathematically governed by the discount denominator:

Present Value = Σ [ CF_t / (1 + r_f + β·ERP)^t ]

Because of compounding exponentiation (t), a 50 or 100 basis point rise in the risk-free benchmark (r_f) reduces the current discounted value of distant cash flows far more aggressively than companies whose dividends and buybacks are paid today.

Key Drivers of Equity Duration

Cash Flow Timing: Early winners reinvest all capital into expanding operational scale, pushing shareholder payouts years forward. This expands effective duration above 25 years.
Equity Risk Premium (ERP): When sovereign risk-free yields rise while stock prices remain elevated, the equity risk premium compresses to decade lows, leaving equities vulnerable to valuation repricing.
Interest Rate Convexity: Multiple compression slows as yields climb higher. A rise from 3% to 4% creates larger percentage drawdown than a rise from 5% to 6%.

Yields & Equity Valuations: Common Questions

What is equity duration and how is it calculated?

Equity duration measures a stock's price sensitivity to changes in benchmark interest rates. Analogous to modified duration in bonds, equity duration can be derived using the Gordon Growth Model derivative: D_eq = 1 / (k_e - g), where k_e is the cost of equity (risk-free rate plus beta times the equity risk premium) and g is the expected perpetual growth rate.

Why do value and dividend stocks hold up better when yields rise?

Value stocks, utilities, and financials typically have short equity duration (8 to 15 years) because a significant portion of their intrinsic value consists of immediate earnings, dividend distributions, and tangible book value rather than speculative distant cash flows. Additionally, financial institutions often experience net interest margin expansion as rates normalize.

Can strong corporate earnings offset yield-driven multiple compression?

Yes. If earnings per share (EPS) grow faster than the rate of P/E multiple contraction, the nominal share price can remain resilient. However, when 10-year Treasury yields rise rapidly without an accompanying acceleration in corporate profit revisions, stock multiples must contract to realign with competitive fixed-income yields.