The document surveys empirical ways to estimate implied volatility across option strikes. It describes spline or piecewise polynomial fits, parabolic parameterizations, and Edgeworth expansions. A typical workflow selects reliable market volatilities,…
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Dokumentumok száma: 20,364
The document asks whether paying off a fixed-rate loan before its scheduled end changes its internal rate of return. The brief answer says the IRR remains the same and that only the loan's life changes. This conclusion depends on the prepayment amount and…
The document explains ways to monitor how strongly a stock portfolio moves as a group. It distinguishes a simple average of pairwise correlations from a portfolio-level measure derived from variance. One approach computes portfolio return variance from asset…
The exchange asks how to compare modeled strategy returns when mean and standard deviation fail to capture important differences in the shape of their distributions. It proposes stochastic dominance as a framework for identifying when one return distribution…
The exchange investigates an unevenly choppy implied volatility smile produced by Monte Carlo pricing of swaptions under SABR with beta below one. It describes simulating forward rates and volatility with Euler steps, estimating option prices across strikes,…
The exchange considers why UK government bond yields fell after Brexit-related uncertainty and a credit rating downgrade, despite the expectation that greater perceived risk should increase yields. It also mentions falling Finnish yields after a downgrade…
This exchange explains why calculating a CPI bond yield in QuantLib can fail with an empty-handle error, even when the bond has a base CPI, coupon, price, and current reference CPI. The key issue is that the inflation index needs a forecast curve to…
The document asks whether Vega-Vanna-Volga methods are used beyond foreign exchange derivatives and why they are common in FX. The response connects FX risk-reversal asymmetry to the possibility of central-bank intervention around exchange-rate levels. It…
The document compares several 14-period moving averages after prices shift from a constant level to another. Wilder smoothing, a simple moving average, a standard exponential moving average, a linearly weighted average, and a more heavily exponential…
The document sets up a ratio between a geometric Brownian motion with time-varying volatility and a Brownian bridge, then asks how to derive its stochastic differential. The bridge has a drift that pulls its value toward a fixed endpoint as the terminal time…
The document explores practical estimation questions in the Fama-French family of factor models. It describes estimating a stock's factor loadings with a time-series regression, then asks how to forecast factor premiums when historical averages may not be…
The document introduces volatility dispersion trading through a position that sells at-the-money straddles on an equity index and buys straddles on its component stocks. It asks how the payoff of this combination relates mathematically to implied correlation…
The document asks why two Brownian motions with a known correlation can appear nearly uncorrelated when observations are sampled at alternating times, as with markets closing in different time zones. It reviews attempted fixes such as shifting observations,…
The document gives an intuition for why averaging can reduce the volatility exposure of an Asian call option with an average-strike payoff. It uses the fact that the time average of standard Brownian motion over a fixed horizon has standard deviation…
The document explains the intuition for modeling financial price paths as cadlag: right-continuous with left limits. Under this convention, a jump is observed as having happened at a particular time, while the path immediately before that time has a…
The document raises the difference between a Eurodollar futures implied three-month rate and a forward rate inferred from the yield curve. It identifies convexity adjustment as a possible explanation and asks how to calculate its size without relying on…
The document describes an attempt to transform Weibull-distributed observations into standard normal scores using the probability integral transform, with the transformed data intended as neural-network input. The author reports that the resulting histogram…
The question concerns pricing a US three-month Libor cap under euro collateral, where the discounting and forward curves reflect the collateral agreement. It asks whether the volatility quoted for a US-collateralized cap can be reused, given that the pricing…
The discussion compares a leveraged ETF with borrowing on margin to increase exposure to an equity ETF. Its central point is that margin borrowing leaves the investor responsible for managing leverage as the asset value changes, while a leveraged fund resets…
The document asks whether a bond’s required return is simply the base interest rate or also reflects issuer creditworthiness. It distinguishes the yield used to discount a bond’s coupon and principal payments from the idea of a benchmark rate, then presents…
The document distinguishes cash-settled bond futures, whose value is linked to a calculated yield-based price, from physically delivered contracts, where conversion factors and the cheapest-to-deliver bond can shape futures pricing. The question concerns…
The document addresses the time horizon used when valuing an asset from expected returns. Its answer describes discounting expected cash flows over the asset’s lifetime. For a company assumed to continue operating indefinitely, valuation commonly includes…
The document uses Bayes’ theorem to estimate whether a randomly selected coin is fair or double-headed after observing ten consecutive heads, then predicts the next toss. It weights each coin type by both its prior chance of selection and the likelihood of…
The document explains a mismatch between a USD LIBOR fixing date and a date calculated by advancing backward two days on a US calendar. For a value date at the end of August 2022, a QuantLib USD LIBOR index returned a fixing date three calendar business days…