The discussion asks whether historical stock returns can be used to estimate volatility skew across option strikes. It distinguishes estimating at-the-money volatility from determining how implied volatility varies for out-of-the-money puts and calls, and…
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Dokumentumok száma: 20,364
The document asks whether a long-short portfolio formed from a cointegrated pair can be shown to have zero CAPM beta. It writes the portfolio’s market exposure as the beta of the long position minus the hedge ratio times the beta of the short position.…
The document discusses the reported finding that stocks with greater sensitivity to innovations in aggregate volatility have lower average returns, and asks why such exposure might act as a hedge against market downside risk. It does not settle the puzzle;…
The document asks how to count degrees of freedom when assessing a trading system’s complexity. It presents a framework that combines the system’s rules with the market observations those rules consume, and cites examples in which two moving averages on the…
The document asks how to price options quickly during model calibration, comparing the Carr–Madan and COS methods. It highlights Variance Gamma models with stochastic arrivals and related models where cumulants may not be available in closed form. The…
The document compares monthly Fama-French factor returns with values obtained by geometrically compounding the published daily series. It focuses on the market excess return and the SMB and HML factors, which are built from portfolios formed by size and…
The document poses a no-arbitrage question for a market with two risky assets, one risk-free asset, and four possible future states. Each risky asset's payoffs are ordered across the states, and its current price is assumed to lie between its lowest and…
The document asks how to distinguish balance terms used for mortgage-backed securities, including original, current, deal, collateral, and unpaid balances. It frames deal balance as principal remaining on the deal, original balance as principal at inception,…
The document investigates why a VIX-like volatility estimate calculated from option prices can fall below the volatility used to generate synthetic options. The example uses Black–Scholes prices with constant volatility, zero interest rate, and zero cost of…
The document compares cash-settled S&P 500 index options with options on S&P 500 futures, focusing on why both contract types may attract users despite similar index exposure. It identifies margin treatment as a key practical difference: futures-based…
The document considers how to rank pairs of securities modeled with a time-varying linear relationship. In a state-space regression, a Gaussian Kalman filter produces state covariance estimates and prediction errors. The example applies this setup to daily…
The document explains how to align U.S. and Japanese market data when forecasting Japanese stock prices. Its central rule is to use only information available before the forecast target. Because the U.S. market closes while the next Japanese trading day has…
The document explains why the accrual factor associated with a forward Libor rate is a martingale under the forward measure whose numeraire is the bond maturing at the end of the accrual period. The factor is expressed as the ratio of the bond price maturing…
The document discusses numerical pricing accuracy in the Heston stochastic volatility model, especially for very far out-of-the-money options near expiry. It contrasts a reported Gaussian quadrature error with option prices smaller than that error, raising…
The document examines whether a completed trade can have positive market impact. Its example describes an illiquid market where the displayed price is 100, while a buyer has hidden willingness to pay up to 105. A seller offers at 102, the buyer trades, and…
The document compares the time values of equally deep in-the-money European calls and puts with no dividends, using strikes the same dollar distance from spot. It applies put-call parity to split the difference in spot-based time values into a discounting…
The document explains a sharp historical move in the French franc’s exchange value against the US dollar. It identifies the cause as France’s devaluation of the franc, decided by President Pompidou and Finance Minister Giscard d’Estaing, with the adjustment…
The document defines option open interest as the number of contracts that remain open, rather than the net difference between long and short positions. A contract is counted when one party holds a long position and another a short position; open interest…
The document considers an equally weighted portfolio of three stocks with equal volatility and zero pairwise correlation. It asks what fraction of an individual stock’s risk is diversified by including it in that portfolio, and presents a variance-based…
The document explains why a Black–Scholes theta estimate can exceed an option’s current value without implying that the option will actually become negative. The closed-form theta is an instantaneous derivative, commonly stated per year; multiplying it by a…
The document considers how duplicated or apparently similar securities can affect strategy research. Its responses distinguish true duplicates from instruments that merely share an issuer: Alphabet’s two share classes, for example, have different voting…
The answer explains which portfolio risk report fields can be scaled by position size and netted across trades. Most sensitivities, including Greeks, typically scale with notional, but aggregation needs care: unlike-for-like positions should be combined, and…
The discussion outlines mortgage valuation as a problem of projecting cash flows under changing interest rates, borrower behavior, and discounting. A proposed simulation approach generates possible rate paths, calculates amortizing payments, and discounts…
The answer explains how a weekend-adjusted payment date usually affects the timing of a bond coupon without changing its amount. For a regular semiannual period, the coupon is generally based on the scheduled coupon period and remains the regular half-year…