নলেজ লাইব্রেরি

The document describes how strike spacing and the availability of listed equity option series are governed by exchange rules rather than by a single formula chosen by each broker. It gives Cboe examples of standard intervals that vary with the stock price,…

The note explains the notation used for CME 10-year Treasury note option strikes. A quoted strike of 1300 represents 130.0 in futures-price terms, while 1305 represents 130.5; the decimal is implicit. It also states that the minimum strike increment is 0.5.…

The document addresses how to interpret a convertible bond whose yield is negative and how to estimate its implied credit spread. The response attributes the negative yield primarily to the embedded conversion option, which has both conversion value and time…

The document explains why predictive accuracy alone does not establish that a trading strategy will earn money. Forecasts and backtests can omit execution costs, commissions, order-book depth, bid and ask prices, and the effect of the strategy’s own orders…

The document explains how an exponential moving average can appear before a chart contains a full nominal lookback period. One answer describes a finite-window exponential weighting scheme: weights are normalized across the available observations, and the…

The document examines why a two-stock tangency portfolio calculation produces negative variance while deriving a capital market line. The proposed procedure computes expected returns and variances, forms a covariance matrix, applies its inverse to excess…

The document considers whether indicators can reliably identify sharp market reversals, including reversals following major market declines. The response lists RSI divergence, MACD crossovers or divergence, and breaks of resistance or trend lines as possible…

The document asks how to model prices that are pulled toward a target value but may overshoot it when momentum persists. It presents a discrete return regression with both a lagged-return term and a target-gap term, then reviews possible continuous-time…

The document clarifies that VWAP serves both as a benchmark and as an execution tactic. As a benchmark, it is the day’s volume-weighted average traded price, with certain special trades excluded. As a tactic, a broker’s algorithm aims to match its share of…

The document explains two quote adjustments used in high-frequency options market making. An offset shifts a quote away from its theoretical price to account for inventory: a market maker holding too much of an exposure can skew prices to encourage trades…

The document compares two objective types for calibrating a one-factor Hull–White interest-rate model to caplet or similar market data. A price-based calibration minimizes differences between quoted instrument prices and prices produced by the model. A…

The document addresses an apparent conflict between the Black–Scholes relationship linking spot and forward prices and models that assign different volatility processes to forwards with different maturities. With a constant interest rate and a deterministic,…

The document clarifies that mean-variance portfolio optimization does not require every asset’s return history to have the same length. It requires a covariance matrix, which may be estimated from data, proxies, or judgment. The practical problem is how to…

The document considers whether principal component analysis of US Treasury rates should use cash yields or Treasury futures. It recommends constant-maturity par yields, which keep the maturity of each series stable as bonds and futures delivery baskets…

The document outlines a practical architecture for calculating value at risk when a trading system already generates simulated market scenarios, such as interest rate curves. In that setup, the main task is to reprice instruments under each scenario rather…

The document explains why a payer swap’s key rate sensitivities can appear unintuitive when the swap is decomposed into a long floating-rate bond and a short fixed-rate bond. The discussion recommends measuring exposure against standard market curve pillars,…

The document asks how to convert information coefficients observed at a monthly frequency into an annualized information ratio. It presents a proposed scaling formula and raises a discrepancy with a sample calculation that applies an additional factor. The…

The document considers pricing a discounted payoff that depends jointly on two equity prices at a future date. Its central point is that pricing requires a joint risk-neutral distribution; a copula is one way to construct one, but it is not the only possible…

The document concerns maximizing a portfolio's Sharpe ratio when expected excess payoffs and the covariance matrix of asset payoffs are given. It writes the objective as expected excess payoff divided by portfolio volatility, then differentiates it with…

The document explains why a call option in a one-period binomial stock model is valued through replication rather than by taking its payoff-weighted average under real-world probabilities. A portfolio combining the underlying stock and borrowing or lending…

The document discusses preparing technical indicator time series as inputs to a neural network. It presents two basic transformations: use differences between consecutive observations, or use percentage changes to express relative movement. When combining…

The document derives the exponential correction needed when expectations of products and powers of jointly log-normal variables are rewritten using their individual means. The motivating expression involves a numerator with a variable multiplied by a powered…

The document asks how to obtain a risk-neutral probability measure from a real-world model under a no-arbitrage assumption. It gives a geometric Brownian motion example in which an asset has drift and volatility under the real-world measure, while a…

The document presents a binomial pricing exercise for an American call option whose underlying is a futures contract. The stock tree is calibrated to a Black–Scholes geometric Brownian motion setup, while the option expires before the futures contract…