নলেজ লাইব্রেরি

The document asks how to value a cancelable swap whose termination payment is linked to an index, then isolates the question of choosing when to pay an index-based amount. The provided answers treat the simplified payment as a scaled forward-like payoff and…

The document considers how to describe option risk across an implied volatility surface. Standard Black–Scholes Greeks measure sensitivity to model inputs, but Vega is difficult to aggregate across options because an implied volatility move need not be…

The document explains why a smile that bends down or up around the forward does not, by itself, establish whether option prices admit arbitrage. Smile curvature is related to the shape of the implied risk-neutral distribution: a concave smile can accompany a…

The document addresses whether Black-Scholes time to expiration should be measured in trading days or calendar days when volatility is estimated using trading-day data, and asks how the risk-free rate should be treated. One response advises keeping the time…

The document asks how market makers choose bid-ask spreads for options quoted in implied volatility terms. It gives an example of a quote with a one-point gap between bid and ask volatility, and suggests that market volatility and the need to hedge inventory…

The document presents a Python example that simulates portfolios by drawing random asset weights, scaling them to a fixed total, and calculating annualized return, volatility, and a return-to-risk ratio from historical returns and covariance. It asks how to…

The document asks when the expectation of a function of a random variable equals the function evaluated at that variable’s expectation. It considers a convex function and whether equality at a particular parameter value implies that the function is locally…

The document asks how to price a European option on an amortizing interest-rate swap when market volatility quotes are available only for standard, non-amortizing swaptions. It outlines the usual Black-style swaption valuation using an annuity, forward swap…

The document addresses how to assess an exotic option pricing model when direct market prices are scarce. It proposes first checking whether the contract can be reduced to a simpler exotic structure that has observable quotes; if so, the model should…

The document explains how to derive the Black–Scholes pricing equation from a risk-neutral valuation formula. It assumes the underlying follows a geometric Brownian motion under the risk-neutral measure, with deterministic interest rates and constant…

The document collects suggested references for learning exotic option pricing and implementing pricing methods. The original question concerns volatility and variance swaps, jump diffusion, and explicit or implicit finite-difference methods, with particular…

The document describes a workflow for obtaining ISIN identifiers for listed equities. It starts with a downloadable spreadsheet of exchange tickers, then uses Bloomberg's Excel API to query the ISIN associated with each ticker. This offers a practical way to…

The document asks whether stock indicators such as moving averages, MACD, Bollinger Bands, and exponential averages should use adjusted closing prices when shares split or pay dividends. Its example compares a two-day moving average around a reported…

The document recommends three books for someone beginning to trade USD interest rate swaps. It presents a general derivatives textbook as broad foundational reading, while noting that it offers limited focus on swaps, rates trading, or risk management. A…

The document explains how bank examiners classify loan quality, from Pass and Special Mention through Substandard, Doubtful, and Loss. Criticized loans are identified as those graded Special Mention, Substandard, or Doubtful. The grades distinguish emerging…

The document solves for the expectation and conditional expectation of an exponential built from Brownian motion at two different times. It first combines the correlated Brownian values by expressing the later value as the earlier value plus an independent…

The document examines a simulation of stock prices under geometric Brownian motion with zero drift. Although each simulated price at a fixed horizon has a lognormal distribution, the author finds that taking the median across all time steps produces a value…

The document discusses the inputs needed to price an FX option with a Black-Scholes style model when the trader has LIBOR quotes and historical exchange rates. One response suggests using the LIBOR rate nearest the option’s expiry, converting it to a…

The document raises a question about why Treasury bond futures conversion factors move in opposite directions across delivery months for bonds with coupons above or below the contract’s 6% standard. It challenges the idea that the factor’s direction should…

This community discussion describes several routes into quantitative finance, including transitions from computer science, physics, statistics, and other academic or commercial backgrounds. It stresses that “quant” covers distinct jobs, from derivatives…

The document explains how to estimate option Vega by bumping volatility and repricing, with examples involving multi-leg baskets and calendar spreads. Vega is a local sensitivity, so a one percentage point volatility move is a finite shock rather than a…

The document studies the random integral of an exponential weight times Brownian increments over a finite interval. A change of variables uses the stationarity of Brownian increments to express it in terms of a Brownian motion starting at zero, with an…

The document considers whether ordinary delta replication can hedge a quanto option, whose payoff is domestic-currency-denominated despite exposure to a foreign asset. The answer explains that holding delta in the foreign stock and borrowing in domestic cash…

The discussion explains that Value at Risk (VaR) is defined for a stated time horizon and confidence level; without a horizon, a VaR figure is incomplete. It outlines a common parametric approach: estimate portfolio return volatility from historical data, an…