নলেজ লাইব্রেরি

The document describes an attempt to calculate daily yields to maturity for a panel of euro-area government bonds using prices, coupons, and time to maturity. The proposed approach defines a bond valuation function and applies a root-finding routine to solve…

The document raises a conceptual question about how quantitative and algorithmic trading firms can seek returns if asset prices follow random walks. It also asks whether random-walk behavior would undermine models of limit order books, using research that…

The document addresses how to obtain timely economic and corporate news for news-based trading systems. It mentions a financial news API that can filter incoming articles using user-defined rules and deliver new items through a real-time socket connection.…

The document explains how to price a barrier option with a finite-difference engine in QuantLib when volatility is represented by a market implied-volatility surface. It points to the finite-difference Black–Scholes barrier engine and notes that its…

The discussion considers whether an American call can be exercised early when a continuous dividend yield is high relative to the risk-free rate. Its key point is that the sign of the adjusted rate alone does not determine the exercise decision. For…

The document derives a European call value when a forward price follows a two-factor diffusion with volatility components that vary over time. It applies the exponential solution for the forward process and combines the factor variances into an integrated…

The example explains how to calculate floating coupons in an asset swap when payment periods do not match a simple half-year assumption. Each coupon uses the annual LIBOR fixing plus the quoted spread, multiplied by notional and the accrual fraction…

A swap annuity factor represents the present value of receiving one unit on each relevant payment date of the underlying swap. It is closely related to PV01, the value change for a basis-point move, and helps value an off-market swap by scaling the…

The discussion distinguishes the first and second fundamental theorems of asset pricing. In the account provided, the first connects absence of arbitrage with the existence of a linear valuation rule that assigns zero value to traded cash flows. The second…

The question describes problems retrieving an implied volatility smile from a SABR volatility surface through QuantLibXL. A positive time input below one year produces a negative-time error, while another error appears to contradict the function's default…

The question asks whether the mean-reversion parameter in a short-rate model such as Hull–White can be inferred directly from the current yield curve. The response points readers toward a paper on the topic and notes that Hull–White fits within the…

The document uses a game with a uniformly drawn numbered card to explore how expected value, risk aversion, repeated play, and redraw options affect willingness to pay. For a risk-neutral player, the value of one play is the mean card value. With many…

The document discusses how trades are grouped into netting sets for calculating credit valuation adjustment. A netting set consists of trades that can legally be offset against one another if a default occurs, so the applicable agreements must permit the…

The document considers whether adding a factor to an asset pricing model must reduce its pricing errors, or alphas. It distinguishes the population setting, where expected returns and factor sensitivities may be treated as known, from empirical work, where…

The document explains why the parameter of a Gaussian copula does not generally equal the ordinary Pearson correlation measured on its uniform outputs. Applying the standard normal cumulative distribution function to correlated normal variables changes their…

The document asks whether a European put’s price can be calculated as the expected payoff when the underlying’s return over the option’s life follows a specified density. Assuming zero interest rates, it writes the put payoff as the strike minus the terminal…

The document explains why an in-the-money option does not necessarily become more valuable simply because expiration is closer. It separates an option’s value into intrinsic value, determined by the current underlying price and strike, and time value, which…

The document examines why adapting a long-only risk-parity objective to a dollar-neutral portfolio is difficult. Long-only risk parity seeks equal risk contributions, often by minimizing the dispersion of each asset’s weight multiplied by its marginal…

The document outlines the Black–Scholes derivation: apply Itô’s formula to an option whose value depends on the underlying, combine it with the underlying in a portfolio, hedge away the source of randomness, and use no-arbitrage to obtain the pricing PDE. It…

The document discusses what a negative stock holding means in a single-period binomial model and whether it represents a real-world short sale. The practical interpretation is a short stock position: the investor borrows shares, sells them, and has an…

The document explains why a bond's quoted spread to mid-swaps at issuance may not match a calculation using a government benchmark, a later yield curve observation, or the bond's coupon. In the example, the quoted reoffer spread is applied to the swap rate…

The document explains why an up-and-out call can have negative delta when the underlying approaches its upper knock-out barrier. Near the barrier, a rise in the underlying has two opposing effects: it increases the ordinary call payoff conditional on…

The document asks whether physical state probabilities can be recovered from current asset prices, state-contingent payoffs, and risk-neutral probabilities. Its central point is that state prices encode discounted, risk-adjusted probabilities; they do not by…

The document derives expected negative exponential utility when an investor’s wealth is the product of a fixed share position and a normally distributed security price. Scaling the price by the share position makes wealth normal as well, with its mean and…