নলেজ লাইব্রেরি

The document asks how to price a floating-strike American lookback option when the client pays a running fee over the option’s life instead of an upfront premium. It contrasts this with a European option, where the questioner views the total fee over the…

The document asks why financing rates implied by synthetic equity forwards are near money-market benchmarks for easy-to-borrow stocks in some regions, while appearing higher relative to the cited benchmark in the United States. It focuses on the repo…

The document asks where to obtain long histories of arbitrage basis measures, such as the difference between on-the-run and off-the-run securities. It offers both direct sources for precomputed measures and sources from which researchers could assemble their…

The document defines a contingent payment at the later date: it pays only if the risky issuer’s earlier-maturing bond pays in full and its later-maturing bond defaults. It asks whether risk-free and risky zero-coupon bonds at the two maturities can replicate…

The document explains why credit risk management may distinguish wholesale exposures from other credit categories: the term is part of the Basel model taxonomy used in capital adequacy standards. It reports that banks group exposures into wholesale, retail,…

The document considers how to price swaptions at expiry and tenor points that were not directly calibrated, using a SABR volatility cube built from market observations. One proposed practice is to interpolate total implied variance across the cube for the…

The document raises a practical question about annualizing a Sharpe ratio calculated from a strategy that trades on five-minute or hourly bars. It contrasts the familiar daily scaling factor based on 252 trading days with scaling by the square root of the…

The document discusses how to combine long and short strategies when their signals are ranks with different scales. Directly averaging or adding those signals may not produce sensible portfolio exposures, so the answer frames the task as assigning capital…

The document separates two ways of discussing equity option skew. Black–Scholes implied volatility expresses observed prices through a model that assumes Gaussian log returns; varying implied volatility across strikes describes the market smile or skew. An…

The document addresses whether a Bloomberg swaption premium quote represents a payer or receiver option when calibrating a Hull–White model. The answer says the cited quote is for a straddle, so its premium combines payer and receiver values. It points to…

The document asks how to allocate a fixed budget across several investment opportunities whose occurrence is independent, whose returns depend on allocated amounts, and whose parameters may be uncertain. It distinguishes this setup from single-bet Kelly…

This document explains how to calibrate a pricing model by selecting parameters that bring model prices close to observed market prices, using an error measure such as mean absolute error or root mean square error. It discusses choosing an optimization…

The document distinguishes the forecasts implied by stochastic interest rate models from their common use in pricing derivatives. A random walk model keeps the expected future short rate at its current level, while a Vasicek model makes the expected rate…

The document explains why the value process of a perpetual American put is a supermartingale. Its central intuition is that the holder’s option to exercise now has value: waiting delays access to the payoff and risks losing the opportunity to exercise under…

The document asks how to calculate a basic win percentage for a trend-following model that produces long and short signals. The proposed approach is to compare the price when a signal begins with the price when the signal changes, count a trade as a win if…

The document explains why interest rate parity using two money market curves and spot FX may not reproduce traded FX forward prices. A cross-currency basis captures the difference between the parity-implied result and market pricing, reflecting funding…

The document surveys approaches to interpolating option prices or implied volatility while preserving no-arbitrage properties. It recommends normalizing for drift and dividends and working in forward moneyness rather than absolute strike; the resulting price…

The document explains why a call-option pricing integral can be written in terms of the log of the terminal asset price. The key point is that the second expression is not obtained by merely substituting a logarithm into the original integral over price.…

Factor timing means adjusting portfolio exposure to factors in anticipation of how their returns may change. The document uses growth stocks as an example, noting that their relative performance may vary between economic expansion and crisis. It also…

The document distinguishes the VIX index from a volatility swap by comparing the quantities each represents. VIX is described as the square root of a variance swap strike, with variance expressed in volatility units. A volatility swap instead pays against…

The document presents a bond pricing mismatch: a fixed-coupon bond's calculated price is about a dollar away from a Bloomberg screen, and the questioner suspects the day-count convention. The accepted response says the quoted value appears correct and points…

The document describes an attempt to calculate the effective annual yield to maturity of a zero-coupon bond using rateslib. It provides a settlement date, a 30/360 day-count convention, and a bond setup with annual frequency, zero coupon, and a specified…

The document explores whether risk-neutral derivative pricing can be understood through conditional expectation. It sets up a one-period binomial model with a stock, a bond, and a call payoff, then writes the option value as the discounted expected payoff…

The document asks why otherwise comparable swaps traded through different clearing venues, such as CME and LCH, may have different quoted rates. It proposes evaluating the basis by considering the costs and risks of buying one swap and selling the other, and…