নলেজ লাইব্রেরি

The document examines why win rates become ambiguous when a strategy accumulates or liquidates positions over multiple transactions. It gives a proposed comparison based on total capital invested, total proceeds, and the elapsed time from the first purchase…

The document asks how to construct quantity values associated with an already ordered price series, while controlling their dependence, to study how correlation changes a total-revenue curve. The responses offer two approaches. For a short fixed vector, one…

The document compares a Python Least Squares Monte Carlo (LSM) implementation for American options with QuantLib pricing engines. The answer emphasizes that LSM continuation-value regression should use in-the-money paths, and that regression is an…

The document discusses which volatility convention to use when deriving forward volatilities from cap prices. Its central point is that the appropriate model depends on the currency and rate environment. For currencies such as EUR or CHF, negative rates and…

The document addresses why a bond’s G spread, measured against a government curve, can be greater than its Z spread, measured against a swap curve. Its main explanation is that the spread comparison depends on the underlying base curves, not only on…

The document explains how an exchange can handle a crossed book at the market open, when buy orders are priced above sell orders. Rather than giving priority simply to the highest bid or earliest order, the described opening process evaluates candidate…

The document explains how annualization differs across common performance ratios calculated from monthly returns. Under an independent and identically distributed monthly-return assumption, Sharpe and Information ratios scale by the square root of twelve:…

The document addresses why repeated geometric Brownian motion simulations produce different price paths, even when the model inputs remain unchanged. The randomness comes from newly drawn Brownian shocks on each run. The accepted response gives a practical…

The document discusses the familiar claim that higher volatility raises the value of standard American calls and puts, and considers why a formal reference may be hard to find. The response suggests reasoning from the relationship between American and…

The document explains why a quoted annual interest rate is divided by the number of compounding periods per year. The annual quote is a convention; the rate applied at each period is the quoted rate divided by that frequency. Applying this periodic rate over…

The document addresses a QuantLib error raised while constructing a EUR yield curve with futures rate helpers. The reported expiry, December 19, 2016, is rejected as an invalid IMM date even though the instrument is described as a Euribor future. The…

The document explains why derivative pricing in an incomplete market does not determine a unique equivalent martingale measure. Multiple such measures can imply different arbitrage-free prices, so replication alone cannot select a single price when some…

The document presents a portfolio optimization modeling problem. The decision variables represent net asset weights and separate gross long and short positions, with constraints linking net weights to those positions and bounding total gross exposure. The…

The document reviews risk-neutral valuation in a binomial model with constant or adapted, time-varying interest rates. It describes valuing a payoff by taking its conditional expectation under the risk-neutral measure and discounting by the relevant sequence…

The document asks whether a pairs trading strategy should retest cointegration each day using a rolling window, rather than test once during an initial formation period and then trade the selected pair for a fixed holding period. The proposed approach uses…

The document explains that beta’s sign is determined by covariance, or equivalently correlation, with the chosen reference market. The market portfolio in the CAPM is an idealized aggregate; empirical analysis usually uses a narrower index, such as a stock…

The document explains why multiplying a futures contract size by its displayed price can produce a mistaken contract value. The key is the price unit: a soybean future may be quoted in cents per bushel rather than dollars per bushel. Contract size must be…

The answer distinguishes dealer-to-dealer (D2D) markets from dealer-to-client (D2C) markets to explain why some swap order books show indicative rather than executable prices. In D2D markets, the answer says executable broker systems or voice prices are…

The document asks for a rigorous basis for a proposed decay-time relationship between diffusion volatility and the effect of lognormally sized Poisson jumps on the final return distribution. It focuses on a claim from a volatility text that relates the…

The document raises a comparison between a Fourier-based estimator of realized variance and covariance and the conventional sum of squared returns. The author applies the estimator to one day of ultra-high-frequency observations, samples the data at…

The document gives a brief pointer for plotting an option’s modeled value as time to expiry changes. It demonstrates using RQuantLib to calculate a sequence of American call prices at different remaining maturities, then drawing those values as a line plot.…

The document compares worst-case arbitrage allocation with expected-value betting across two simultaneous matches. For the first match, the offered payouts allow a guaranteed profit if the stake is split between Pink and Maroon within a specific range.…

The document outlines a Monte Carlo framework for estimating portfolio value at risk when positions have different gearing. Rather than treating broker margin as the risk measure, it starts with a model that generates future returns for each underlying…

The document addresses uncertainty in a Monte Carlo estimate of conditional value at risk (CVaR), which depends both on estimating a tail quantile and averaging outcomes beyond that threshold. It recommends bootstrap confidence intervals: repeatedly resample…