নলেজ লাইব্রেরি

The document asks how to measure volatility over a past sample when the goal is explanatory analysis rather than forecasting. The motivating study relates monthly mutual fund alphas to market volatility measured over the same historical period. It contrasts…

The document derives covered interest rate parity by equating the present value of a foreign currency cash flow when converted at today’s spot rate with its value when converted at the forward rate and discounted in the other currency. It then explains why a…

The document asks how the survival probability of a default time relates to its hazard rate, and why a conditional survival probability has a shifted hazard integral. It presents the standard unconditional relation as an exponential of the negative…

The document explains how to convert fractional betting odds into implied probabilities. For odds stated as a to b, it gives the conversion b divided by the sum of a and b. Applying that formula to the quoted odds yields implied chances of 0.652 for remain…

The document asks when Monte Carlo discretization is needed in financial modeling, given that geometric Brownian motion can be simulated exactly at selected dates. The responses name the LIBOR market model, Heston stochastic volatility, and local volatility…

The document explains why rates and discount factors derived from a QuantLib zero-coupon curve may differ from input deposit yields. The example builds a curve from deposit rate helpers and compares calculated forward rates and discount factors with quoted…

The document presents a long-short portfolio with a small long position, a much larger short position, and cash held alongside the positions. Its reported portfolio contribution is sharply negative even though the portfolio’s net market value is positive.…

The document asks how to value a one-period payoff equal to the higher of two stock prices and whether stochastic calculus is necessary. For jointly normal prices, the accepted answer rewrites the maximum as one stock plus a call-like payoff on the…

The document considers ways to assemble a spreadsheet comparing selected public companies across fields such as headquarters, market capitalization, earnings, revenue, free cash flow, debt, and cash. It describes a programmatic route using a finance data API…

The document asks how an issuer can value a callable bond before knowing its option-adjusted spread. It explains the market practice described in the answer: construct a credit curve from noncallable bonds when possible, then use an interest-rate lattice or…

The document discusses ways to reduce sampling noise when simulating a Cox–Ingersoll–Ross interest rate process for option valuation. It recommends quasi-random sequences, with Niederreiter sequences given as an example, and control variates, suggesting a…

The document considers what to call the attribute that distinguishes a call option from a put option. Suggested terms include “CallPut,” “PutCall,” and “OptionType”; some systems also use “Right,” though one response cautions that this can be misleading…

The document explains how least-squares Monte Carlo (LSM) values an American option and identifies when exercising is preferable to continuing to hold it. Working backward from terminal payoff, the method estimates each time step’s discounted continuation…

The document discusses a worked example from research on price impact, where market sells consume bid depth and limit bid additions replenish it. The response interprets the sequence in ticks: selling 15 shares against depth of 5 removes three levels, while…

For a stock modeled by geometric Brownian motion, the document explains how to find the chance that its future price falls below a specified threshold. The logarithm of the price is normally distributed, with a mean adjusted for the volatility term and…

The document distinguishes a forward price from a forward interest rate. A forward price is the amount agreed today for purchasing an asset at a future date; a forward rate is an interest rate set today for borrowing over a future period. Although bond…

The document asks how to define a stock that fades through the day in a way that can be measured. An open-to-close decline alone may miss a rise earlier in the session followed by a sharp late drop. The questioner suggests requiring an early high of day that…

The document considers how to use rapidly changing limit order book features, such as spread and bid-ask imbalance, to predict a future midprice. It suggests testing recent history or aggregation and emphasizes that useful inputs may include time of day,…

The document addresses a data-matching problem in 13F research: issuer names in filings may differ from the names used in SEC records, making name-based searches unreliable. It points to a repository that describes a process for building a CSV mapping CUSIPs…

The document surveys approaches to estimating time-varying dependence with copulas in R. It points to vine copulas with evolving parameters as one research direction and mentions the CDVine package and related materials for statistical inference. It also…

The document raises two questions about reproducing a hidden Markov model study of factor investing across market regimes. First, it asks whether the reported regime labels and their return and volatility summaries use future observations to classify past…

The document explains why differentiating a Black–Scholes option price with respect to time does not include a derivative of the stock price. The option pricing formula treats time and spot price as separate arguments: a partial derivative with respect to…

The document asks how to connect risk-neutral moments of simple gross returns to moments of log returns under a Black–Scholes model. It applies Itô’s lemma to obtain the stock’s terminal value, then uses the moment-generating function of a normal variable to…

The document compares an equal-strike interest rate floor with a receiver swaption on the same underlying forward rate exposure and asks which is more valuable. Under single-curve pricing, the receiver swaption’s payoff is no greater than the sum of the…