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Block H · Metrics, valuation & risk

‹ NadirAlpha financial markets handbook: overview

Independent NadirAlpha working reference. Product and feature names mentioned are trademarks of their respective owners. No investment advice.

Metrics are condensations; useful for comparison, dangerous without context; each metric answers exactly one question and no other.

95 · P/E ratio

Price per share / earnings per share; based on past (trailing) or expected earnings (forward).

The fastest valuation comparison within an industry.

Meaningful only against peers and history; growth and rate levels co-determine the "fair" P/E.

Comparing P/E ratios across industries; considering cyclicals cheap at peak earnings.

96 · P/B ratio · 104 · Earnings growth (EPS growth, PEG) · 35 · Value vs. growth

96 · P/B ratio

Price / book value of equity.

Banks, insurers, capital-intensive firms; a substance measure.

<1 signals market doubt about the substance or earning power; of little value for tech (intangibles).

Applying P/B to asset-light business models.

97 · P/S ratio

Market capitalization / revenue.

Young/loss-making firms without earnings; crisis comparisons.

Meaningful only together with the margin path; revenue is not profit.

Dismissing high P/S ratios with "growth justifies everything".

98 · EV/EBITDA

Enterprise value (market cap + net debt) / operating income before depreciation and amortization.

Capital-structure-neutral comparison; the M&A standard measure.

More robust than P/E with differing leverage; EBITDA ignores investment needs.

Confusing EBITDA with cashflow; capex is missing.

99 · Dividend yield & payout ratio

Dividend/price and dividend/earnings respectively.

Income planning; sustainability check of the payout.

A ratio >80-100% is rarely sustainable; always read the yield together with the ratio.

See Block C; reading record yields as a gift.

36 · Dividend strategies

100 · Free cashflow & FCF yield

Operating cashflow minus capital expenditure; FCF/market cap as a yield.

The "most honest" earnings metric; cash rarely lies.

Persistently positive FCF funds dividends, buybacks, debt reduction; negative FCF needs the capital market.

Believing earnings without looking at cash conversion.

101 · ROE/ROIC

Earnings / equity, and after-tax operating income / invested capital respectively.

A quality measure; does the company earn its cost of capital?

ROIC > WACC creates value; ROE can be levered by debt (distorted).

Celebrating a high ROE that stems only from leverage.

102 · Leverage (net debt/EBITDA)

Net debt / operating income; years to theoretical deleveraging.

The standard credit measure; a covenant metric.

<1 comfortable, >3-4 strained (industry-dependent); IG ratings typically demand low values.

Overlooking leasing/pension liabilities.

103 · Interest coverage

Operating income / interest expense.

A short-term check of debt-servicing capacity.

<2 critical; rate-sensitive with heavy floater exposure.

Extrapolating coverage measured in a low-rate era.

104 · Earnings growth (EPS growth, PEG)

Growth rate of earnings per share; PEG = P/E / growth.

Comparing the growth-to-valuation relation.

PEG ~1 as a rough rule of thumb; check the quality of the growth (organic vs. buyback).

Extrapolating analyst estimates unexamined.

105 · Yield to maturity (YTM) / yield to worst

Internal rate of return of a bond to maturity (YTM) or to the least favorable call date (YTW).

THE comparison measure for bonds.

Assumes reinvestment of coupons at the same rate; for callable paper only YTW counts.

Quoting YTM for callables (see Block B).

106 · Coupon vs. yield (the difference) · 107 · Duration & modified duration · 19 · Subordinated bonds (Tier 2)

106 · Coupon vs. yield (the difference)

Coupon = contractual interest payment on the nominal; yield = total return including the price difference to the purchase price.

Fundamental understanding for any bond decision.

Price above 100: yield below coupon, and vice versa.

Confusing a high coupon with a high yield (purchase price!).

105 · Yield to maturity (YTM) / yield · 23 · Floaters (floating rate)

107 · Duration & modified duration

Capital-weighted commitment period, and the rate sensitivity derived from it (see the introduction to ch. 5-B).

The central interest rate risk measure for securities and the portfolio.

Portfolio duration = weighted average; actively steerable via futures/swaps.

Treating duration as exact instead of a first-order approximation (large rate moves: convexity needed).

108 · Convexity · 146 · Duration management & bond laddering · 27 · Long-dated bonds (>10 years)

108 · Convexity

Curvature of the price-yield relationship; the second-order correction to duration.

Precision for large rate moves; comparing structures (callables: negative convexity).

Positive convexity = the price rises more than it falls; valuable and included in the price.

Ignoring the negative convexity of MBS/callables.

107 · Duration & modified duration · 29 · MBS/ABS (securitizations)

109 · Spread (G-spread, Z-spread, OAS)

Yield pickup over the reference; over the government curve (G), over the swap curve in present value terms (Z), option-adjusted (OAS).

The price of credit risk; relative value between bonds.

A spread change acts on the price like a rate change times spread duration.

Mixing spreads over different reference curves.

15 · Corporate bonds investment grade · 16 · High yield · 118 · S&P Global Ratings (AAA-D scale)

110 · Volatility (historical/implied)

Fluctuation intensity of returns; implied = the expectation derived from option prices.

Risk measure, option valuation, market sentiment (VIX).

Annualized; implied > historical vol = the market pays a fear premium.

Equating volatility with loss risk; it measures both directions.

112 · Sharpe ratio · 116 · Value at Risk (VaR) · 160 · Tail risk, skewness & kurtosis

111 · Beta & alpha

Beta = sensitivity to the market; alpha = return beyond the beta-consistent return.

Risk classification (beta) and manager performance (alpha).

Beta 1.2 = 20% stronger market moves; alpha measurable only against a suitable benchmark.

Reporting alpha that is merely beta to another factor.

114 · Information ratio & tracking error · 137 · Indices & benchmarks (construction)

112 · Sharpe ratio

(Return - risk-free rate) / volatility.

Risk-adjusted comparison of strategies/funds.

>1 good, >2 rarely sustained; comparable only among similar strategies.

Taking Sharpe at face value with skewed distributions (option selling!).

113 · Sortino ratio · 114 · Information ratio & tracking error · 110 · Volatility (historical/implied)

113 · Sortino ratio

Like Sharpe, but only downside volatility in the denominator.

A fairer view of asymmetric strategies.

Clearly > Sharpe = the fluctuation comes mainly from the upside.

Ignoring the downside threshold (0% vs. target return); values are otherwise not comparable.

114 · Information ratio & tracking error

Active return / active risk (standard deviation of the deviation from the benchmark = tracking error).

Quality of active managers; mandate steering (TE limits).

An IR > 0.5 over years is strong; TE shows how "actively" the fund is really managed.

Paying for a low TE as if it were active management ("closet indexing").

111 · Beta & alpha · 137 · Indices & benchmarks (construction)

115 · Maximum drawdown

Largest loss in value from a high to the following low.

Loss tolerance check; a more realistic way to address risk than volatility.

Consider together with the recovery period.

Viewing the historical max drawdown as an upper bound for the future.

162 · Drawdown management & stop-loss logic · 110 · Volatility (historical/implied)

116 · Value at Risk (VaR)

The loss that with x% probability is not exceeded in period t (e.g. 99%/10 days).

The standard risk measure in regulation and limit systems.

Says NOTHING about the size of losses beyond the threshold (for that: expected shortfall).

Communicating VaR as the "maximum loss".

158 · Stress tests & scenario analyses · 160 · Tail risk, skewness & kurtosis · 151 · Risk types at a glance

117 · Correlation & diversification effect

Co-movement of two return series (-1 to +1); the basis of the diversification benefit.

Portfolio construction; detecting concentrations.

Correlations are unstable and rise in a crash ("correlation goes to 1").

Planning for the storm with fair-weather correlations.

142 · Diversification & concentration risks · 161 · Risk budgeting & risk parity

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