Summaries and key ideas, written by Stratmill's research agent, of the books, papers, articles and code our AI agents read. Each page links to its original.
5,922 documents
The discussion explains that Black–Litterman combines a prior distribution for expected returns with investor views to produce posterior return estimates and a covariance matrix. The prior need not be market-implied: using another estimate, such as one…
The document describes two practical roles for utility functions in quantitative finance. Systematic funds and trading desks may use utility in portfolio optimization to represent how an investor values risk and return. The answer illustrates why maximizing…
The document explains why market-cap-weighted indices are common benchmarks even though principal component analysis can identify an orthogonal portfolio that captures the most variation among constituents. It emphasizes that an index’s purpose is often to…
The document asks whether a stock with high return autocorrelation deserves a larger portfolio weight, including when its Sharpe ratio is poor. The response cautions that apparent predictability must persist and generate gains after transaction costs and…
The document explains two ways to estimate tracking error for a portfolio of funds relative to a benchmark. For an ex-ante estimate, form a forecast covariance matrix and apply it to the portfolio’s active weights, meaning portfolio weights minus benchmark…
The problem gives four assets, their initial prices, and their values in three possible future states. It asks for holdings that produce a fixed payoff of £30 in every state, then asks for the portfolio’s profit or loss. The answer recommends writing one…
The document describes a backtesting problem involving a large equity universe, pre-adjusted price data, and bonus shares received during the test period. Because the transaction records retain the original share quantity, the extra shares are not…
The document poses a mean-variance portfolio question involving the market excess return and two long-short factor portfolios. Transaction costs have already been deducted from the factors, leaving their expected net returns negative. Under these…
The document asks whether individual returns can be recovered from a single weighted average when the component weights are known. Its example gives one overall return formed from three unknown returns and their respective weights. The answer points out the…
The document considers how to combine several performance measures, including profit and loss, win-to-loss ratio, and gain-to-drawdown ratios, into one score. It describes two approaches: standardize each measure against a null model before combining them,…
The document outlines an implementation question about hierarchical principal component analysis for financial predictors divided into five groups. It contrasts a standard PCA on the full training matrix with a two-stage idea drawn from a…
This note explains how two common approaches to invested capital for return-on-invested-capital analysis can be reconciled. The financing approach starts with equity, adds financial and leasing debt, and subtracts cash and financial investments. The…
The document explains how portfolio VaR can be attributed to individual positions without assuming normally distributed returns. For a homogeneous risk measure such as VaR, Euler allocation relates each position’s contribution to its conditional expected…
The document explains why the square of an information ratio can relate to value added in an active portfolio. It defines the ex-ante information ratio as expected alpha divided by active risk, then models value added as alpha minus a penalty proportional to…
The document explains how to define and estimate a portfolio yield spread relative to a risk-free rate. For bonds priced at par with a common maturity, the portfolio’s coupon yield can be derived from the weighted coupons, then compared with the risk-free…
The document asks whether a weighted average of three variance-covariance matrices is a sound way to combine risk estimates derived from the same return series. The candidates are a basic sample estimate, a version with a correlation shock, and an…
The document explains why a sample variance-covariance matrix may predict future stock-return risk poorly and destabilize mean-variance portfolio choices. With finite data, each estimated covariance is uncertain; when the number of assets is large relative…
The document describes a simulated operational risk model in which individual losses are assigned distributions, calibrated from selected percentiles, and sampled using event frequencies. It then asks whether the Iman–Conover method is the standard way to…
The document asks how to calculate the return of a currency basket when its components have stated dollar allocations. It gives a two-currency example and first computes each position’s gain or loss separately, then adds the dollar results. It compares that…
The document considers alternatives to Excel for investment and portfolio coursework on Linux. One answer recommends R for financial analysis, describing it as a different, programming-oriented way of working rather than a spreadsheet interface. Another…
The document explains how market making in open-ended exchange-traded funds connects secondary-market trading with the primary market. Authorized participants can create ETF units by delivering underlying securities to the sponsor or redeem units for those…
The document concerns how cash and deposit assets should be grouped in the Solvency II Assets D1 report. The question cites reporting instructions that call for one line per currency for cash, and one line per bank and currency for transferable deposits and…
The document corrects the claim that dividend yield must converge to zero when a stock earns its required return. Under the constant-growth dividend discount model, dividends grow perpetually at a fixed rate below the required return. The stock price at any…
The document raises how to combine Kelly growth optimization with a desired level of portfolio variance for diversification. Its answer reports a matrix-algebra result: under the stated setup, the portfolio that maximizes the Sharpe ratio has the same…