Multi-Year Yield Benchmark & Duration Sensitivity Curve
Yield 5.25% vs Historical BenchmarksCross-Asset Transmission & Repricing Breakdown
Mark-to-Market Projections| Asset / Instrument | Key Metric | Baseline | Shock State (5.25% 10Y) | Capital Impact | Transmission Channel |
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Methodology, Valuation Formulas & Macro Transmission Architecture
1. Modified Duration & Convexity Losses:
Bond price percentage change is modeled as $\Delta P/P \approx -D_{\text{mod}} \cdot \Delta y + \frac{1}{2} C \cdot (\Delta y)^2$. For a 10-Year Treasury bond with 7.8 years duration and convexity of 72, a +145 bps increase drives an immediate -10.6% mark-to-market loss.
2. Equity Discount Rate & P/E Compression:
Under the Gordon Growth and Fed Earnings Yield models, required equity return is $k_e = R_f + \text{ERP}$. As risk-free rate $R_f$ advances to 5.25%, equity earnings yield $E/P$ must expand, compressing P/E from $1 / (k_e - g)$. Tech and high-duration growth assets experience double the drawdown of value sectors.
3. Housing & 30-Year Mortgage Transmission:
Conforming 30-year mortgage rates track 10-Year Treasuries plus the primary-secondary mortgage spread (historically 180 to 280 bps due to prepayment risk and MBS supply). At a 5.25% yield + 275 bps spread, 8.00% mortgage rates raise monthly principal and interest on a $400,000 loan to ~$2,935/mo.
4. 60/40 Portfolio Breakdown:
In high-inflation yield shocks, stock-bond correlation turns positive ($\rho > 0$), destroying traditional fixed-income hedging benefits. Both equities and long bonds decline simultaneously.