The document raises the problem of estimating stock return correlation matrices when the number of assets is large relative to the available history. It asks about implementing the unbiased rotationally invariant estimator described by Bun, Bouchaud, and…
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21,023 documents
The document presents a simplified way to infer default risk from a bond’s credit spread. It relates the spread to loss given default and default probability through the credit triangle: spread is approximately the product of one minus recovery and the…
The question compares two optimization objectives: minimizing the logarithm of the expected exponential of a random outcome, and minimizing its expectation subject to a variance bound. It asks whether the exponential criterion is preferable because its…
This exchange explains how exposure at default can be expressed using a drawn balance, an undrawn facility amount, and a credit conversion factor. The question proposes adding the drawn amount to a fraction of the undrawn amount, illustrated with an…
This discussion collects reference books suggested for quantitative portfolio management and risk management. The original question names works on portfolio construction, risk budgeting, active management, asset allocation, Monte Carlo methods, asset…
The document asks how to calculate the probability that a discrete-time lookback put finishes in the money in a Cox–Ross–Rubinstein binomial model. Its payoff depends on the minimum underlying price observed along the path, rather than only the terminal…
The document considers a zero-coupon loan with an annual stated interest rate, an ACT/360 day-count basis, and a maturity that falls between annual compounding dates. It asks whether to apply simple interest to the stub period after the first anniversary or…
The document offers guidance for turning balance sheets, income statements, and cash flow statements into judgments about a company's condition. Its central method is to study the business and its industry before choosing measures: revenue may say little…
The document explains how to specify a three-branch asset-price tree when a single-period move can be up, middle, or down. The three branch probabilities and three move sizes initially leave six parameters. Probability normalization and matching the expected…
The document discusses whether GARCH variance estimates remain useful when returns have heavy tails. It relays the concern that if a return distribution has a tail exponent near three, its fourth moment may be infinite, making the variance of squared…
The document asks how to report counts of calculated chi-square values against two critical values: 3.84 for the 5% level and 6.64 for the 1% level. It gives an example with one count for values between the thresholds and another for values above the higher…
The document addresses how to estimate future three-month USD LIBOR for budgeting floating-rate cash flows. It frames the task as yield curve estimation rather than a search for a uniquely correct forecast. One proposed approach is a yield curve model such…
The document explains why faster mortgage prepayments tend to raise yield to maturity for a bond bought below face value, but lower yield for one bought above face value. It uses fixed coupon bond examples with different repayment dates to show how the gain…
The document discusses using proxy time series when a risk factor lacks enough historical observations for market risk measurement. It contrasts older Basel II guidance with the newer Fundamental Review of the Trading Book (FRTB), where insufficient real…
The document considers how to scale minute-by-minute trading volumes into a bounded range when an unusually large observation distorts ordinary normalization. It proposes a dynamic cap based on twice the sample median, then clips values above that limit…
The document addresses whether a joint probability density can be used only for rectangular events, such as separate constraints on each random variable. It explains that a density definition may be stated first for product sets without restricting…
The document asks what a Bloomberg spreadsheet expression calculates while attempting to reproduce it with another data source. The expression retrieves a security’s last price with a historical data request and divides it by a technical-analysis request for…
The document clarifies two return calculations used when measuring event-study abnormal returns. A stock’s size-adjusted return for a day is its own return minus the equal-weighted return of stocks in the same size decile. The described reference group uses…
The document describes a two-period portfolio comparison using historical returns. It estimates an in-sample efficient frontier from the first period’s empirical covariance matrix, generating portfolios across target returns. It then keeps those portfolio…
The document asks how to state the Black–Scholes free-boundary problem for an American put. It contrasts two proposed condition sets involving the exercise region, continuation region, terminal payoff, behavior at large stock prices, and value and delta…
The document explains the intuition behind a claim that a par bond has zero key rate duration at curve points other than its maturity-matched rate. The key assumption is that a shocked par yield curve remains a par curve. Under that convention, a shift at a…
The document explains why the Fama-French three factors can be correlated without invalidating the model. In a classical factor model, researchers specify factor return series and estimate each asset’s factor loadings with time-series regressions. Those…
The document explains why squared returns divided by estimated conditional variance can be used to check a GARCH model. Under the model, returns are written as conditional volatility times an independent, zero-mean, unit-variance innovation. A GARCH(1,1)…
The document explains why historical OHLCV records for the same listed share can disagree across Google Finance and Yahoo Finance. Possible causes include distinct vendors and trading platforms, different aggregation rules, post-trade corrections,…