The document considers why minimum-variance optimization over ETFs may concentrate holdings in bonds and government securities: assets with lower variance can dominate the objective. It presents several ways to pursue broader diversification. Risk parity…
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2,013 documents
The discussion compares J with Q/Kdb+ as tools for quantitative finance, focusing on the database capabilities that make Q/Kdb+ common in trading firms. The accepted answer says J can provide array-oriented computation, but users would need suitable storage…
The document explains how to obtain discount factors for cash flows in one currency collateralized in another. It gives a relationship linking the cross-currency collateral discount curve to FX spot and forward rates and the discount curve for the collateral…
The document considers how investors might distinguish asset classes for strategic allocation and tactical decisions. It argues that classes should reflect different economic drivers and responses to short-term events, while liquidity may matter because…
The document explains duplication invariance in the Most-Diversified Portfolio (MDP): adding a second asset with returns identical to an existing asset should not make the portfolio treat that exposure as a new diversification opportunity. The clarification…
The document explains why MATLAB’s default Cholesky output can still be appropriate when generating correlated asset paths. The key is how the random observations are arranged in a matrix. For a column vector of random draws, multiplying by the lower…
The document considers an option whose payoff depends on several assets meeting exercise conditions together. Its example combines a call on one stock, a put on another, and a call on an index. The response distinguishes this structure from a conventional…
The document examines why the average intraperiod high–low range is often close to twice the average absolute open–close change. It presents observations across several currency pairs, timeframes, and Spanish equities, with ratios clustered near two in many…
The document explains why adding a fund’s monthly arithmetic return contributions does not generally produce its contribution to a portfolio’s compounded return over a longer period. Monthly contribution is calculated as the fund’s portfolio weight times its…
The document asks how to represent a domestic-currency portfolio holding a foreign asset when an FX forward overlays the position. It begins with the conversion of the foreign asset’s value into domestic currency using the spot exchange rate, then presents a…
The document poses a pricing question involving an option on an asset denominated in one currency when the available risk-neutral implied density was derived under another currency’s measure. It writes the desired expectation under a domestic pricing measure…
The document raises a software and modeling question about using GARCH-MIDAS to study how financial and macroeconomic variables relate to S&P 500 returns. Its motivation is mixed sampling frequency: daily market data are paired with monthly macroeconomic…
The document frames a forecasting problem involving future prices for gold, silver, and the S&P 500. Historical observations are proposed as a basis for modeling their joint distribution, with the central question being how to sample future prices…
The document raises a calendar-alignment problem for daily strategies that rebalance a portfolio spanning multiple markets. A local-market backtest can omit exchange holidays because trading is unavailable, but international markets observe different…
The document explains carried interest as a particular performance-based compensation arrangement used by general partners in some investment funds. It illustrates a partnership in which a general partner receives a share of profits beyond its ordinary…
The document addresses benchmark selection for comparing multi-asset strategies when separate equity, commodity, and fixed-income indices do not provide a single global reference. The question also considers constructing a blended benchmark, such as an…
The document asks whether a custom global index can serve as the market portfolio in a CAPM-based Black–Litterman estimate of expected returns for regional equity and bond ETFs. The response explains that if CAPM holds for individual assets, its relationship…
This document compiles online sources for economic and financial data across asset classes. It groups providers and repositories by topic, including macroeconomic statistics, foreign exchange, equities, fixed income, options, futures, commodities, and…
The document connects equally weighted risk contributions with risk parity. Instead of assigning assets equal amounts of capital, a risk parity portfolio aims to allocate equal shares of the portfolio’s expected risk to its components. The response…
The document considers why a currency may become widely used internationally and argues that population, economic scale, military power, and trade share do not explain the outcome by themselves. The answer highlights open markets, transparent and efficient…
The document outlines several reasons diversified futures are commonly used by large trend-following CTAs instead of ETFs. Futures can provide substantial notional exposure with relatively low margin, and the first answer notes that U.S. Section 1256…
The document outlines a two-step approximation for reporting yield across a bond portfolio denominated in multiple currencies. First, to express a bond’s yield in another currency, it proposes matching the bond’s cash flows with one leg of a cross-currency…
The document considers how to optimize a portfolio of foreign-currency equities when returns and risk are measured in an investor’s home currency. Its central suggestion is to model the investment as carrying both equity risk and currency risk, rather than…
The document examines how to represent portfolio returns when combining several assets over multiple periods. It contrasts ordinary returns with log returns, using portfolio weights and interval returns to show why each is convenient along one dimension but…