নলেজ লাইব্রেরি

The document asks how default affects the nondefaulting party in a plain interest rate swap. Party A pays floating and receives fixed from B; if A defaults, the question is why B’s position appears to benefit when rates rise but not when rates fall. It…

The document explains why market makers often do not set displayed size through a single theoretical optimization such as a Kelly-style rule. They quote across many strikes, expirations, and sometimes underlyings, while trying to balance incoming flow or…

The document shows that the sum of cubed Brownian increments over a partition converges to zero in probability as the partition mesh shrinks. It assumes a partition of a fixed time interval and uses the facts that each increment is centered with zero third…

The note considers whether a more complex SABR Libor Market Model offers an advantage over a simpler SABR model for pricing and hedging plain vanilla interest rate options. Its central point is that if the LMM is calibrated to the same volatility smile…

The document describes an effort to reproduce parameter estimates from continuous-time stochastic models of US inflation. It lists reported estimates for log-normal models with constant, local, and mean-reverting Vasicek drift, using historical CPI data and…

The note considers why volatility can show long memory and why its measured persistence may vary across periods. It describes an analysis of daily realized volatility for multiple assets, comparing autocorrelations before and after the global financial…

The note surveys ways to approximate a hedge fund’s return stream using a different, potentially passive strategy. It groups prior research into linear factor models, nonlinear or less transparent models, and work emphasizing the difficulty of reliable…

The note explains the upper bound on a European call’s value: under the stated no-arbitrage assumption, its price cannot exceed the price of the underlying asset. The proposed argument is to sell an overpriced call and buy the underlying, creating a positive…

The document explores why options are studied separately when idealized binomial and Black–Scholes models describe replicating a call with stocks and bonds. The responses explain that exact replication relies on restrictive assumptions, including constant…

The question asks whether Markowitz minimum-variance optimization can choose weights for a basket of call options on different stocks, given fixed strikes, a covariance matrix, and weights summing to one. The answer distinguishes minimizing expected payout…

The document considers how to fit a predicted distribution of future stock log returns using the realized profit and loss of European calls and puts at expiration. It asks how this objective translates mathematically and compares it with likelihood-based…

The document explains how issuer-level CDS contracts relate to the bonds and loans underlying an issuer’s credit risk. A CDS is not tied exclusively to one bond: its terms identify one or more reference obligations, while the contract generally covers a…

The document asks how to justify the boundary conditions for the Black–Scholes equation for a European call. It states the pricing PDE and lists a zero call value at zero underlying price, an asymptotic call value matching the underlying price as that price…

The document asks how to evaluate exponential moving averages as a forex trading strategy and requests research on their effectiveness. The response offers two starting references on technical analysis in foreign exchange: a 1992 study of technical analysis…

The document asks how to interpret a mean-reversion coefficient Φ in a discrete process where the next value is a fraction (1−Φ) of the current value plus a random shock. It expands the recurrence to show that the initial value’s contribution decays…

The document examines how to calculate the implied repo rate for a Treasury futures contract using its cheapest-to-deliver bond. The question applies a financing return formula to the futures invoice value and the bond purchase price, including accrued…

The note explains why combining two trading strategies does not guarantee a higher Sharpe ratio. It treats strategy return streams as assets in a mean-variance portfolio and shows that the achievable Sharpe depends on their expected returns, volatilities,…

The document addresses how to retrieve a changing set of valid security codes from Bloomberg in Excel, especially when option strikes and expirations change. Instead of manually listing possible strikes and building each option code, the accepted answer…

The note explains how to infer an investor’s risk-aversion coefficient for a portfolio on an efficient frontier, provided the investor follows mean-variance preferences. It starts with utility equal to expected portfolio return minus a risk penalty…

The document discusses the edge ratio as a tool for evaluating the entry component of an algorithmic trading system. It presents two limitations: unlike the Sharpe ratio, the edge ratio is not commonly requested by investors, and its statistical properties…

The document addresses whether a flat rate must be constructed from a normal interest-rate term structure to use Black–Scholes for a European option. The answer explains that the relevant discounting rate for an option expiring at time T is the zero-coupon…

The discussion explains that the cover artwork for Guyon and Labordère’s book on nonlinear option pricing was chosen partly for its visual suggestion of nonlinear level sets. The author’s explanation says the artwork has no direct connection to the book’s…

The document asks how to choose the number of factors in an equity risk model when adding factors can explain more return variance and reduce specific variance. It distinguishes describing risk from explaining average returns: a factor may improve fit…

The discussion examines why the CAPM security market line is straight despite a portfolio-return expression that includes a leverage-related quadratic term when returns are framed as exponential growth rates. The accepted response explains that the efficient…