知識圖書館

The document explains term premium as compensation for the duration risk of holding longer maturity bonds, and places it within a yield decomposition that also includes expected short rates and convexity effects. With expected short rates held flat, a…

The document discusses how much capital an individual may need to run an automated strategy, with positions held from a day to a year. The responses disagree about the practical budget: one argues that limited capital can help access capacity-constrained…

The document compares two ways to calculate the profit and loss from holding one risky asset over two time intervals while borrowing its purchase price at a constant interest rate. One approach holds the original position until the end and subtracts the…

The document diagnoses an error in a currency option valuation using a six-step binomial tree. The calculation sums discounted payoffs across terminal nodes but weights each node only by the risk-neutral probability of one particular sequence of up and down…

The document explains why fitting an autoregressive model can produce fewer usable residuals than observations, and how the likelihood method affects that count. Conditional maximum likelihood starts the recursion after the model's lag order, leaving the…

This document introduces notation used to describe a jointly normally distributed vector of financial variables. It presents a multivariate normal density built from a mean vector and a variance–covariance matrix, then asks how to interpret the density and…

This discussion outlines how optimal control concepts apply to quantitative finance. In dynamic portfolio construction, an investor allocates capital across instruments while accounting for expected returns, risk, and the costs of changing positions over…

This discussion explains how changes in Treasury issuance and bank reserve preferences can affect short-term funding markets. It connects a liquidity squeeze in the first half of 2018 to heavy Treasury bill issuance as the Treasury rebuilt cash balances…

This discussion separates the theoretical SABR model from formulas used to approximate its implied volatility. It examines a case with very high vol-of-vol where prices calculated by inserting Hagan implied volatilities into Black–Scholes appear to violate…

The document asks how researchers should estimate correlation matrices from historical financial data. It highlights choices that can affect the result, including observation frequency, sample size, and the method used to extract correlations from time…

The document considers how income taxes affect a stock’s price around a dividend payment. It contrasts the company’s loss of value when cash is distributed with investors’ incentives to hold, sell, or repurchase shares around the ex-dividend date. The…

The document asks how to reduce Monte Carlo estimation error when pricing vanilla options under the Heston stochastic volatility model. The questioner reports that Black–Scholes controls using implied, average, or long-term volatility have not worked well,…

The document introduces the Black–Scholes derivative of an option’s value with respect to its strike, often called dual delta. It gives the call and put formula and asks how to interpret the measure in practice when an option’s strike is fixed during the…

The document examines how to simulate a local volatility model calibrated from European options using Dupire’s formula. It presents the Euler–Maruyama step, which evaluates volatility at the current time and state and holds it over the next interval. The…

The document asks how long an FX order book takes to recover after a large trade consumes available liquidity. It defines recovery as the return of the spread for a specified trade size to its prior level, using a hypothetical EUR/USD book as an…

The document explains that a quoted government bond yield, such as a ten-year yield of two percent, is generally an annualized yield to maturity rather than a single return earned only at the end of the holding period. Under the yield-to-maturity…

The document translates a forecast of a steeper yield curve into relative bond-price expectations: long-term bond prices are expected to weaken relative to short-term bond prices. A portfolio can express this view by reducing duration, such as selling…

The document explains a forward price adjustment method by scaling each bar’s open, high, low, and close relative to an initial reference price. It shows that, when there are no corporate actions, this produces the same indexed price series as dividing each…

The document asks for published economics or finance research using a bivariate vector autoregression to study Granger causality. The response offers two examples from petroleum futures markets: one examines whether speculators influence crude oil futures…

The document explains why the Brazilian Ibovespa futures and Mini Ibovespa futures can track the same index while having different contract values. Their quoted index movement is translated into profit and loss using a point value: the full-size contract has…

The document raises modeling and portfolio attribution questions about minimum lower partial moment hedging with order two, in the setting of currency hedges for international equity portfolios. It contrasts downside co-moments with covariance matrices,…

The document examines a currency-options parity exercise and questions whether the reciprocal of a lognormal exchange rate can be priced with the same Black–Scholes setup. It derives the reciprocal rate’s log distribution, observes that the variance…

The document collects suggestions for obtaining annual filing data for an analysis of S&P 500 companies. Responses point to financial data packages and providers, including tidyquant, Quandl, and Compustat, as well as tools for downloading filings from the…

The document asks how to identify unusually large bid or ask queues, or “walls,” in a limit order book. It considers simple rules based on quantities above the mean or median, price zones, and comparisons between large queues near the best bid and ask. These…