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.
2,013 documents
The document shows how the Euler condition in the Ramsey growth model follows from the first-order conditions of a discounted lifetime-utility problem. In the stated Lagrangian, differentiating with respect to consumption equates marginal utility to the…
The document considers how to convert a private equity benchmark expressed as an equity index plus an annual premium into monthly benchmark returns. It contrasts adding a monthly equivalent spread with compounding the index return and premium, highlighting…
The document raises a preprocessing question for principal component analysis across assets with different volatilities. It compares scaling observations by volatility and centering them, taking logarithms of prices and centering, and clipping series to a…
The document asks how to adjust long historical series of US stock and gold prices for changes in the dollar's purchasing power. The questioner worries that CPI may not capture the desired concept of inflation, and notes that comparisons of CPI, wages, and…
The document addresses a hedge regression in which the target asset is quoted in US dollars while candidate hedge assets are quoted in euros. Its suggested approach is to express returns in the investor’s local currency and hedge the foreign-exchange…
The document proposes a practical framework for combining analyst return paths when their errors share information, change with market conditions, and may include useful contrarian views. It starts from forecast-error covariance: under quadratic loss,…
This discussion considers backtesting platforms for users who need to supply their own market data and use third-party libraries in strategy code. The replies suggest Python-based approaches, including the Python Algorithmic Trading Library, Zipline, and…
The document presents conflicting views on whether Markowitz modern portfolio theory remains useful in asset management. Supporters point to its continued use in wealth management and traditional funds, its familiarity to regulators, and its role in long…
The document outlines a Monte Carlo approach to estimating portfolio value-at-risk for a portfolio with multiple assets. It starts with the portfolio’s current value and an estimated covariance matrix, then uses a matrix square root such as a Cholesky factor…
The document asks whether ex-ante active risk from asset allocation can be combined with ex-post active risk from security selection to estimate a multi-asset portfolio’s total tracking error. It raises the key issue that simply adding risk measures assumes…
The document explains why the market portfolio in modern portfolio theory is a useful theoretical construct but not a portfolio investors can fully buy. A literal version would include assets beyond publicly traded securities, including private or otherwise…
The document asks how to align volume bars from different futures so their returns can be used in multivariate analysis. It notes that each contract reaches a fixed traded-volume threshold at different times, making timestamps inconsistent, and cites volume…
The discussion shows how to turn sampled, potentially non-normal log returns into asset price paths. For each asset, take its starting price and multiply it by the exponential of the cumulative sampled returns. A copula can supply joint return draws across…
The document compares terminology for financial objects in software that supports currencies, equities, and futures. It favors “instrument” as a broad term that can cover both cash assets and derivatives, while “product” can distinguish exchange-specific…
The discussion presents several quantitative ideas for changing portfolio exposures across assets or building active portfolios. Momentum-based timing is introduced as a way to switch between major asset classes. Other suggestions include combining valuation…
This discussion considers how to use principal components from a cross-asset ETF portfolio to describe future market moves and assess whether factor weightings remain stable. One response warns that transposing a data matrix with many time observations…
The document outlines two ways to create return samples for Monte Carlo analysis of mean–variance portfolios. One approach resamples rows from historical multivariate returns: collect asset prices, convert them to returns, use a lower frequency suited to the…
The exchange answers whether interest rate models can incorporate external variables such as economic measures or equity volatility. It identifies macro-finance models as the relevant family, extending interest-rate analysis beyond models driven only by…
The document addresses how to distinguish total return and absolute return funds when applying a fund risk classification framework. It warns that the terms can suggest a distinction between price appreciation alone and returns including income such as…
The document raises a question about whether an equivalent local martingale measure is enough to rule out arbitrage when assets enter the tradable market at different times. Its example has one asset available throughout the interval and a second asset that…
The document clarifies that daily inflation breakeven curves represent market-implied forward inflation expectations, rather than observed inflation such as consumer price index readings. It explains that these curves are derived from bond or inflation swap…
The document considers whether a discrete market is arbitrage-free when every asset price rises strictly with probability one. The answer makes the conclusion depend on the interest rate: when rates are zero or negative, an investor can borrow the purchase…
The document considers whether the CAPM regression alpha and beta of an equally weighted portfolio can be found by averaging the corresponding estimates for its constituents. For assets measured over the same observations against a common benchmark and…
The document examines how to adjust bootstrapped historical log returns when calculating value at risk for category III packaged products under the PRIIPs framework. The example samples historical daily returns to form simulated multi-day paths, selects a…