নলেজ লাইব্রেরি

The document distinguishes ordinary open interest from dealer directional open interest (DDOI). Open interest counts outstanding contracts without identifying who holds the long or short side, while DDOI attempts to infer dealers’ net option exposure because…

The document asks whether Bloomberg’s cash flow generator for newly issued collateralized loan obligations is suitable for discounted cash flow valuation. The responses describe the tool as translating the cash flow waterfall documented in a CLO’s…

The document describes a finite-difference approach to effective duration for an interest rate instrument with optionality. The practitioner prices the instrument using a model calibrated to a discount curve and at-the-money swaption volatilities, shifts the…

The document considers how to infer a second asset’s covariance structure from that of a first asset and a relationship between their returns. One answer models the second asset’s return as a constant beta times the first asset’s return plus a small…

A single-look CMS spread option pays on the difference between two forward constant-maturity swap rates relative to a strike on one expiry date. A CMS spread cap or floor instead consists of options settling on multiple dates. Both structures can express a…

The document addresses a mismatch between an analytic price and a Monte Carlo estimate for a floating lookback put under geometric Brownian motion. The question gives a volatility, maturity, interest rate, time step, and spot, and reports that the simulation…

The document considers whether ordinary least squares can estimate the parameters of a GARCH model, which are commonly fitted using quasi-maximum likelihood. It summarizes a reference describing explicit OLS estimation for ARCH models through an…

The document explains why barrier-option Greeks cannot be represented by one general curve. Their shapes depend on spot, strike, barrier placement, volatility, and time to expiry. In a knock-out call, a rising spot can increase the call’s payoff potential…

The document explains how to select the interest rate input in Black–Scholes pricing. In the basic model, the rate represents short-term risk-free funding over the option’s life; a continuously compounded government bill yield with a maturity near the option…

The document shows how to estimate the real-world probability that a stock will finish within a specified price interval using a geometric Brownian motion model. It treats the stated required annual return as the drift and, for illustration, uses implied…

Vega and gamma often have the same sign for a single option under standard assumptions, but a calendar spread can produce opposite exposures. The example pairs a long near-dated at-the-money option with a short longer-dated at-the-money option, yielding long…

A total return swap (TRS) exchanges an asset’s returns, including price changes and income, for financing payments. The asset leg is valued from the asset’s current price and accrued returns through the valuation date; expected future gains are not…

The document asks whether beta can be estimated using either excess returns or price returns. One answer challenges beta’s interpretation, arguing that regression results depend on whether beta exists in the data-generating process and whether the chosen…

The document considers pricing a European option when the underlying asset’s daily return is constrained to a fixed interval. It proposes replacing the usual return density with a two-sided truncated normal risk-neutral density, then valuing the option by…

The document explains two ways to simulate the return of a fixed-weight portfolio under a normal-return assumption. One method samples directly from a univariate normal distribution using the portfolio’s expected return and variance. The other draws asset…

The document contrasts rational exercise models with behavioral approaches for embedded options, such as mortgage refinancing rights and callable corporate debt. Borrowers and issuers may exercise based on private circumstances, including personal finances…

This question asks how SABR is used in practical option workflows. It contrasts fitting or interpolating a volatility surface with SABR to obtain Black implied volatilities, then managing positions with Black Greeks, against measuring and managing risk…

This discussion surveys day-count conventions used to calculate interest accruals across bonds, money markets, floating-rate notes, and other instruments. It lists examples such as 30/360, Actual/360, Actual/365, Actual/Actual, and Brazil’s Business/252,…

This troubleshooting note concerns an error raised by the rugarch package while running a rolling GARCH forecast with ugarchroll. The reported setup estimates an sGARCH model with an ARMA mean specification, then forecasts one step ahead over a rolling…

The question describes a hypothetical illiquid stock whose price tends to return to $10 after moving by about $1. With sparse orders, bids no higher than $8, and asks no lower than $12, it proposes improving the best available quote by $1 to attract trades…

The document explains how a t-statistic can test whether a trading strategy’s average return differs from a null value, commonly zero. A small statistic indicates insufficient evidence to reject the null of no excess return. Because return observations can…

The document presents a way to create a nonuniform numerical grid on the unit interval when a solution changes rapidly near both endpoints. It assumes a finite-difference problem, where grid density near sensitive boundaries can matter for accuracy. The…

The document explains how to express a Bachelier caplet as the difference between an asset-or-nothing payoff and a cash-or-nothing payoff. Under the stated forward-measure setup, the cash digital component is proportional to the strike times the probability…

The document asks for a more accessible derivation of the semi-closed-form price of a European call under the Heston stochastic-volatility model. It does not derive the pricing formula itself; instead, the replies point readers toward a paper with a…