คลังความรู้

The note addresses where to find historical corporate bond yield series, especially across credit ratings and maturities. It identifies FRED as a free source for some ICE Bank of America credit index data, including a high-yield index series. Such index data…

The note examines why the Fama–French model is often described as a risk model and how that differs from an alpha model. It presents a factor-pricing view in which expected excess returns are related to assets’ factor exposures and the premia associated with…

The note explains why an American investor who buys a U.S.-traded receipt for a Japanese company can still face foreign-exchange risk. Although the purchase and trading price are quoted in dollars, the receipt’s value reflects the underlying Japanese shares…

The document asks how to obtain an FX option’s volatility from a surface quoted by delta and tenor. The proposed workflow first reads the at-the-money volatility, determines the option’s corresponding delta, then interpolates the volatility surface at that…

The document examines whether a European call butterfly, formed from three strikes, must have a strictly positive price under no arbitrage. It warns that subtracting separate lower-bound inequalities does not establish the desired result. One argument uses…

The document asks for free software to price high-dimensional American basket options under the Black–Scholes model using the Longstaff–Schwartz, or least squares Monte Carlo, method. It seeks control over the number of basis functions, simulation paths, and…

The document asks how to interpret the Black–Scholes price of a European equity call. It focuses on the formula’s two normal cumulative distribution terms, the stock price, and the discounted strike, and proposes reading the distribution terms as…

The document discusses assets that can have positive expected returns while their deviations from those trends are negatively correlated. It distinguishes this pattern from pairs trading, which generally seeks to profit from relative performance, and frames…

The document considers principal component analysis for estimating risk in an international equity portfolio whose stocks are denominated in several local currencies. It asks whether PCA can be applied to local stock returns separately from exchange-rate…

The document derives the stochastic dynamics of a reverse exchange rate. If the quoted rate gives domestic currency per unit of foreign currency and follows geometric Brownian motion, the reverse rate is its reciprocal, representing foreign currency per unit…

The document considers storage for real-time stock ticks and aggregation into volume clusters by time period, price, and trade side. The desired output groups buy and sell volume at each price over intervals ranging from minutes to hours. It asks which…

The document shows how to express a structured note’s terminal payoff as a combination of the underlying index and call options. In the example, the payoff follows the index below the principal level, stays flat over an intermediate range, and gains…

The document explains how to translate a credit default swap quote stated in points or as an upfront price into the market standard annual spread, usually expressed in basis points. It identifies the CDS standard model as the conversion method rather than…

This note describes a numerical approach to pricing European and American options under Kou’s double-exponential jump-diffusion model. The implementation uses a Crank-Nicolson time scheme for the partial integro-differential equation, a nonuniform spatial…

This note outlines a transformation of the Black-Scholes option-pricing equation into a diffusion equation, then asks how to simulate the transformed PDE numerically. It gives the variable substitutions, the resulting heat-equation form, and a transformed…

The note addresses how to find aggregate market-size figures for structured products across product categories. The answerer says they do not know of a global estimate and points instead to European industry data compiled from national market figures. This…

This note compares three structured foreign-exchange derivatives: snowball, knock-in knock-out (KIKO), and target redemption forward (TRF). It describes shared features, including periodic settlements and limited potential gains paired with potentially large…

The discussion considers what risk information can be inferred from a portfolio snapshot containing prices, position values, share counts, and stock betas, but no time series. One response suggests using beta to approximate a stock’s volatility if market…

The discussion clarifies how to calculate the floating and fixed cash flows on an overnight indexed swap. The fixed leg is generally a simple interest amount under the applicable day-count convention, rather than a compounded notional repayment. For the…

The discussion asks whether EU Emissions Trading System allowance prices can be projected from spot prices using a single discount rate or another market-implied method. The responses point to policy risk as a reason forward prices may sit below expectations…

The document describes how market makers can hedge index options without trading every constituent in the underlying equity basket. For options written on index futures, a single option’s delta exposure can be offset by trading the corresponding futures…

The document identifies a stochastic volatility specification in which the asset follows geometric Brownian motion while volatility is the exponential of an Ornstein–Uhlenbeck process. The log volatility mean-reverts, and its driving Brownian motion may be…

The document addresses whether a Student’s t distribution can represent the fat tails often observed in stock returns and how that choice relates to risk measures. It concludes that the distribution’s degrees of freedom can be used to model heavier tails…

The document explains why annualized volatility is commonly calculated by multiplying monthly return volatility by the square root of twelve. Under independent, identically distributed monthly log returns with finite variance, annual log return is the sum of…