The document considers a cash-or-nothing claim that pays when one of two risky assets exceeds the other at maturity. Both assets are modeled with geometric Brownian motion driven by the same Wiener process, alongside a risk-free asset. The proposed pricing…
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2,013 documents
The document explains how to express gold’s price against a basket of currencies to reduce dependence on any single currency’s movements. Its example basket combines fixed amounts of US dollars, euros, and Japanese yen, then converts the basket value into…
The document asks how to convert daily portfolio and benchmark returns, contributions, and allocation and selection effects into monthly attribution while keeping the effects consistent with the portfolio’s excess return. It distinguishes compounding returns…
Macro funds do not share one standard framework for managing risk or modeling returns. Their practices differ with each firm’s strengths, investment style, and willingness to use quantitative methods; some are less receptive to formal risk models than…
The document discusses challenges in measuring risk for open-ended real estate funds in Europe, where property valuations and market structures vary by country, property type, and market segment. It argues that standard financial techniques such as Monte…
The document asks how to estimate a portfolio volatility measure at a fixed time in Berlin when the portfolio spans US, European, and Japanese equity indices trading in different time zones. It considers using observations aligned to that local time and asks…
The document answers whether Swiss Valor numbers follow a pattern that reveals information about a security. It explains that a Valor number is an identifier with no intrinsic meaning: when a new identifier is needed, the next available number is assigned.…
The document explains how currency hedging can affect the risk and return of foreign investments. Long-run studies cited in the discussion suggest hedging may leave returns similar while reducing volatility, which can benefit mean-variance investors. Over…
The document explores how to allocate capital among models that trade different instruments, strategies, and holding periods. One proposed starting point is to treat each strategy–instrument combination as a portfolio component and apply mean–variance…
The question examines how to define terminal wealth in a finite-horizon asset-pricing model. Agents have exponential utility and consume only in the final period, so their objective is to maximize wealth at the horizon. Earlier wealth can be described…
The document explains why near-zero short-term rates are usually a reason to begin quantitative easing, rather than a reason QE stops working. In the account presented, rate cuts first make cash funding cheaper and holding cash less attractive. Once short…
The question asks whether the delta, gamma, vega, rho, and theta of a multi-asset product can be calculated by adding the corresponding Greeks of its underlying assets. The product described pays annual coupons when the performance of an equally weighted…
The discussion interprets a claim that hedge funds can ease collateral pressures by deploying liquid collateral and transforming illiquid assets. It connects that flexibility to differences between hedge funds and traditional asset managers, including limits…
The document explains consumption-based asset pricing as a framework linking an asset’s value to how its payoff covaries with consumption across economic states. It addresses the objection that active traders and wealthy investors may not make decisions…
The document seeks research on how manager reputation, track record, and skill relate to mutual-fund and hedge-fund returns and investor flows. Its answer names two mutual-fund studies on costly investor search and managerial risk-taking incentives. A second…
The document considers whether volatility or correlation is more stable over one- to two-year horizons and over longer periods. Its central lesson is to analyze the two quantities separately: volatility responds to the size of returns, while correlation…
The document considers whether investors with a persistent strategic allocation, such as a balanced equity and bond portfolio, should add option based protection against severe losses. Its motivation is asymmetric: a large loss may threaten an investor’s…
The document asks why two Brownian motions with a known correlation can appear nearly uncorrelated when observations are sampled at alternating times, as with markets closing in different time zones. It reviews attempted fixes such as shifting observations,…
The document concerns the absorption ratio, a measure based on principal components that is intended to indicate how much return variation is concentrated in common market drivers. The original question asks for a Python implementation and includes code that…
The document responds to a request for advanced reading on global macro investing, where views on economic conditions are expressed across asset classes such as currencies, rates, commodities, real estate, and equities. It offers a varied list of…
The discussion explains why market prices and economic data can imply different views of the future. A risk-neutral measure is used to value and hedge traded claims in a pricing model; a physical measure represents real-world probabilities used for…
The document explains how a covariance matrix can define an ellipsoidal measure of distance between a random return vector and its expected value. For normally distributed returns with covariance matrix Σ, the density’s exponent is a quadratic form using…
The discussion considers how to select liquid, low-cost ETFs spanning broad asset classes and regions for testing a portfolio selection algorithm. It emphasizes choosing funds that closely track indexes with long histories, so older index data can extend a…
The document explains why the relationship between equity prices and interest rates changes with the economic backdrop. It contrasts the familiar channel in which higher borrowing costs weigh on firms with conditions where stronger growth lifts earnings…