Βιβλιοθήκη γνώσης

The document asks why a portfolio’s simple return is expressed as a weighted sum of its assets’ simple returns, since directly comparing portfolio value at the start and end appears to produce a different formula. The resolution is that portfolio weights…

The document raises a question about calculating rolling volatility for a PRIIPs category 2 stress scenario. The asker has calculated the initial sequence of log returns but is unsure how to apply the formula shown in presentation slides and reports getting…

The document explains why higher volatility can increase the cost of delta-hedging a short option. Its central point is that the volatility used to price an option is an estimate of what the underlying will realize over the option’s life. If actual realized…

The document explains how forward delta for a vanilla foreign-exchange option relates to a hedge using a forward contract. Under the stated Black pricing setup, differentiating the call value with respect to the outright forward rate gives a discounted…

The document asks whether the Incremental Risk Charge (IRC), especially its treatment of default and rating migration, should be considered market risk or credit risk. It compares IRC with Credit Valuation Adjustment (CVA) and questions whether IRC is better…

The discussion addresses the lack of a direct implementation for a VECM-GARCH model in R and outlines a possible approximation. First estimate an error-correction term, for example with the Johansen procedure, then specify separate conditional mean and GARCH…

The discussion corrects an annualized Sharpe ratio calculation based on 36 monthly observations. For monthly returns, the risk-free rate should also be expressed monthly, and the monthly Sharpe ratio is conventionally scaled by the square root of the number…

The Cornish-Fisher expansion approximates a target distribution’s quantiles using a reference distribution and information about the target’s cumulants. In modified VaR applications, it is commonly presented with the normal distribution as the reference and…

The question compares Nasdaq volatility across years using average daily true range (TR). Since the index level changes over time, the author asks whether TR should be converted to a percentage or expressed through logarithms. The response says the right…

The document distinguishes registered bond offerings from two exemptions from SEC registration. Registered bonds are registered with the SEC. Rule 144A allows issuers to sell unregistered bonds in the United States to qualified institutional buyers, entities…

The document asks whether portfolio optimizers should reshape the covariance of expected-return forecasts, given that forecast covariance can be transformed independently of the market-return risk matrix. The response cautions that raw forecast covariance is…

The document explains when early exercise changes the value of American options on a non-dividend-paying underlying. Under the no-arbitrage assumption and a nonnegative risk-free rate, early exercise of a call is not optimal because it gives up remaining…

The document considers how to assess quantitative finance’s role in global markets and why attributing market earnings or losses to it is difficult. A central challenge is defining what counts as quantitative finance: possible categories range from…

The document outlines ways high-frequency traders can structure equity trading to manage commissions and exchange fees. One route is direct exchange access through a broker identifier, allowing a firm to pay or receive the exchange’s active or passive fees…

The document describes applying principal component analysis to changes in the yield curve. The main purpose is to identify a small set of dominant movement patterns that can provide a concise language for describing curve risk. The patterns cited are…

The document explains why a short-rate model may be used to value bonds and swaps even when their cash flows have no embedded options. A correctly calibrated model must reproduce the present value obtained by discounting fixed cash flows against the spot…

The document raises a question about factor exposures when constructing equal-weighted and value-weighted benchmark portfolios from a cleaned set of U.S. listed firms. The portfolio universe contains firms across AMEX, NYSE, and NASDAQ, with membership…

The document addresses how to calculate the Relative Strength Index when intraday prices are resampled into longer intervals, such as ten-minute bars, while decisions or updates occur more frequently. It asks whether to rebuild a moving history of bars at…

The document discusses reward design for reinforcement learning applied to foreign exchange hedging. A typical objective combines portfolio gains with penalties for risk, such as variation in portfolio value, and for trading costs associated with changes in…

The document explains how introducing stochastic interest rates changes the uniqueness of a Black–Scholes call price. The key issue is whether the interest rate risk can be traded and hedged. If no claims linked to the stochastic rate are available, the…

The document asks who drives the accumulation and distribution process associated with Richard Wyckoff, and whether it is led by market makers, insiders, or other large traders. It describes a proposed mechanism in which a large participant sells to trigger…

The document considers a Monte Carlo portfolio analysis in which changing the weights and strikes of put options reduces measures such as expected return and volatility, while Value at Risk sometimes rises. The response says this outcome can be plausible…

The discussion distinguishes daily rates for recently auctioned Treasury bills from constant-maturity rates. A bill labeled by its original term has less time remaining after issuance, so its quoted market rate reflects the security’s actual remaining…

The document describes ways to retrieve securities and their identifiers using Bloomberg. Its main suggestion is to use the equity screening function to list active securities, optionally limited to primary listings, then add ISIN and CUSIP as result…