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 document outlines a discounted cash flow approach for valuing a company’s equity from free cash flow to the firm. Its four-step process is to calculate the weighted average cost of capital, project next-period FCFF using a constant growth assumption,…
The document asks how to combine univariate GARCH volatility models with a copula to estimate expected shortfall for a portfolio of three stocks. It considers whether to obtain conditional volatility by filtering observed returns through each fitted GARCH…
The document discusses stress testing for pension funds, asset managers, hedge funds, and other long-horizon investors. It distinguishes historical scenarios based on past crises, deterministic shocks to selected risk factors, and predictive scenarios built…
The document explains how to value a stock with a multistage dividend discount model using a financial calculator’s net present value function. The key is to place each projected dividend at the correct time and combine the constant-growth terminal value…
The document compares two R backtesting options: Quantstrat, which works with related portfolio and financial-instrument packages, and the Systematic Investor Toolbox (SIT). It does not provide a formal benchmark; instead, it collects user impressions about…
The note explains how to choose volatility-surface inputs when calibrating a model for autocallable products. Its central recommendation is to calibrate one model to the autocalls held in the portfolio, reflecting that hedging is generally managed at…
The document explains how to calculate beta for a portfolio invested in both the market portfolio and a risk-free asset under the Capital Asset Pricing Model (CAPM). CAPM describes expected asset return as the risk-free rate plus beta times the market risk…
The document discusses why risk managers and portfolio managers may handle extreme return observations differently. Retaining genuine extremes gives a more conservative view of realized risk, while robust estimates that reduce their influence may better…
The document asks how to examine historical idiosyncratic volatility for individual stocks at daily frequency, without converting residuals to monthly observations or forecasting. The suggested approach is to estimate factor-model residual variance for each…
The document considers whether stock and bond histories can help extend the limited return records available for illiquid assets such as private equity, real estate, and hedge funds. It recommends first addressing serial correlation caused by appraisal…
The document contrasts two ways institutional investors seek to reduce portfolio tail risk. A direct hedge buys puts on the asset that drives much of the portfolio’s risk, making the premium an explicit cost when protection is not needed. A correlation-based…
The question sets up a market with one stock and calls priced under Black–Scholes using the market’s volatility estimate. A trader instead believes volatility is different and seeks a portfolio that maximizes exponential expected utility. The proposed return…
The document asks how to measure a portfolio’s overall return when it receives contributions and withdrawals, without treating those cash flows as investment gains or losses. It mentions a unitization approach, in which the portfolio is represented by units…
The document distinguishes two portfolio optimization tasks using a dataset of stock prices for 15 companies over one year. The investor first estimates average returns, annualized volatilities, and correlations, then finds weights that minimize variance…
The document raises a conceptual question about why investors hold concentrated stock portfolios despite arguments for broad diversification. It cites research describing hedging motives and heterogeneous preferences as standard explanations, while also…
The discussion addresses a perceived conflict between positive net present value and the efficient frontier. It clarifies that the discount rate is not generally chosen as the realized return of a single alternative investment. One answer suggests using a…
The note derives one possible way to attribute an index portfolio’s relationship with itself across its constituents. Starting with a weighted sum of asset returns, it expands the covariance of the portfolio with itself into weighted constituent covariances.…
The document discusses using Monte Carlo simulation to examine uncertain inputs in a financial model and the resulting range of business outcomes. Examples of inputs include product price, initial customer demand, growth, and market size; outputs include…
The document explains how to assess a portfolio or return series against Fama–French risk factors. The main approach is a time-series regression of excess portfolio returns on factor returns, with the intercept interpreted as Jensen’s alpha: performance not…
The document discusses Attilio Meucci's copula-marginal algorithm (CMA) and whether later research has extended it. The included answer characterizes CMA as a nonparametric, computationally efficient approach for combining marginal distributions with…
The document addresses how “orthogonal” is used when discussing alpha, risk sources, and portfolio factors. Its answer gives an intuitive interpretation: two return streams move independently, so one’s direction does not determine whether the other rises,…
The document examines how beta-weighted option deltas can express positions in different underlyings in index-equivalent terms for comparison or hedging. It corrects the idea that a beta of one means an asset has the same volatility as the index: beta…
The document discusses a conditional diversification benefit measure built from a portfolio’s expected shortfall, its no-diversification upper bound, and a lower bound tied to value at risk. It compares findings from research on country indexes, where…
The document raises a question about estimating betas for three real estate markets relative to a national market when each market has returns for different periods. It asks whether all beta estimates should use only the periods shared by every series, so…