নলেজ লাইব্রেরি

The document considers how to estimate annualized daily volatility from portfolio balances recorded after trades at uneven intervals. It presents a simple estimator under a zero-drift Wiener model: square each log return, divide by the elapsed time between…

The document distinguishes beta as defined within the Capital Asset Pricing Model from a beta estimated by regressing a stock’s returns on a chosen market index. The question asks how exchange rates, inflation, and interest rates might explain a company’s…

The discussion addresses two distinct validation needs for mean–variance portfolio allocation. One reply challenges the assumptions behind mean–variance finance, arguing that return distributions may be heavy-tailed and that sample means and variances may…

The document raises a model-calibration question: whether parameters in the Heston–Nandi GARCH option-pricing model can be estimated by fitting model prices to observed option prices instead of using maximum likelihood. The proposed approach is to choose a…

The document explains the claim that a derivative can be represented as a portfolio of its underlying asset and a risk-free asset. It connects this idea to continuous delta hedging in the Black–Scholes framework: adjusting the stock and bond positions can…

FIX repeating groups encode array-like collections of related fields within a single message. A count field announces how many entries follow, and the group structure lets a recipient interpret repeated values as separate entries. For example, a message can…

The document compares using historical index returns directly in Monte Carlo option pricing with fitting a return distribution or a dynamic stochastic-volatility model. Its central pricing point is that option values are expectations under a risk-neutral…

A Lévy process is characterized by a drift vector, a diffusion matrix, and a Lévy measure, which together describe its continuous variation and jumps. The document distinguishes finite-dimensional estimation of drift and diffusion parameters from the…

The document asks whether Federal Reserve quantitative easing should increase U.S. home sales and prices, noting an apparent decline in housing prices after 2009. Its answer first corrects a key distinction: encouraging home purchases means more demand,…

The discussion explains why the magnitude of a short-interval return can serve as a rough estimate of volatility over that interval. Under a diffusion model for proportional price changes, the return contains both drift and a random shock. At daily…

The discussion asks why an equally weighted portfolio of mutual funds can have a much higher four-factor model R-squared than the average R-squared from separate regressions for each fund. The explanation is that fund-specific return noise tends to cancel…

The discussion explains how to use daily observations of Switzerland’s 10-year government bond yield when calculating a portfolio Sharpe ratio. To represent the rate for a calendar year, average the yield observations from that year; the answer treats the…

The document considers how to compare approaches intended to address parameter uncertainty in portfolio optimization, including Bayesian methods with diffuse, asset-pricing-based, or economic-objective priors. Its response recommends evaluating forecasts…

The document asks why QuantLib’s implementation of Margrabe’s formula computes forward prices using a risk-free discount factor when the familiar formula for an option to exchange one asset for another is often presented without an explicit risk-free rate.…

The document reports Fama–MacBeth regressions examining whether idiosyncratic volatility predicts stock returns, with beta, size, book-to-market, short-term reversal, illiquidity, maximum return, coskewness, and idiosyncratic skewness considered as controls.…

This discussion considers how a shift from a currency peg toward a freer float could affect over-the-counter FX option prices, using the Moroccan dirham’s EUR and USD relationships as context. It notes that a regime change may bring a spot jump together with…

This discussion gives two ways to calculate the correlation between two portfolios, including when one portfolio contains a subset of the assets in the other. With asset weights and the covariance matrix, portfolio covariance is obtained by applying each…

This explanation shows how to calculate the correlation between an individual asset and a weighted portfolio from asset volatilities, correlations, and portfolio weights. First, the pairwise correlation matrix is converted to a covariance matrix using the…

This discussion examines whether European put options with the same maturity can have equal prices when one has a higher strike. It presents a no-arbitrage argument: if the lower-strike put were at least as expensive as the higher-strike put, an investor…

The document describes a QuantLib issue involving Actual/Actual ISMA day counts for bond periods. The questioner calculates year fractions from a valuation date to an intermediate coupon date and to maturity, then reports that moving the valuation date by…

The question asks why a butterfly spread’s value might be expressed using the probability that the terminal asset price falls between the outer strikes, multiplied by half the spacing between adjacent strikes. The answer frames pricing under the risk-neutral…

The document asks how to apply Fama–MacBeth regressions to monthly asset returns when each asset’s predictor is its own lagged return. For each month, the proposed procedure runs a cross-sectional regression of that month’s returns on the corresponding…

The post examines whether NYSE Rule 107C, which introduced retail price improvement orders, could explain Knight Capital’s August 2012 trading failure. It describes the rule’s non-displayed orders, which can interact with retail orders when they improve on…

The document discusses the provenance of Quandl Open Data, also called Wiki Data, and asks whether the data are purchased from exchanges or derived by comparing and transforming other free sources. It presents the dataset as a possible testbed for…