The document addresses how to estimate delta and gamma for a calendar spread option as the underlying spread changes, and asks whether empirical studies are available. The response models the calendar spread option as a position involving a short call at one…
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Dokumentumok száma: 20,364
The document proves that a constantly rebalanced long-only portfolio’s geometric average return is at least the weighted average of the constituent assets’ geometric average returns. It formalizes the claim for any number of assets and multiple holding…
The document explains how to think about intraday trading in currency forwards by relating a forward quote to the spot exchange rate and the cost of carry. It describes the forward as exposure to the underlying currency pair, adjusted for the interest-rate…
The document derives the fair one-year forward exchange rate by treating the two currencies as investable assets and applying the law of one price. It defines the spot quote as units of domestic currency L needed to buy one unit of currency Z, then compares…
The document raises a market-data quality problem: historical OHLC prices from low-cost providers may look plausible even when adjusted close values are erroneous. It asks how to screen adjusted close against close, citing an example of a negative adjusted…
The document distinguishes security identifiers such as ISIN, CUSIP, and SEDOL from company identifiers. A company may have multiple securities, each with its own identifier, and identifiers can change after reorganizations or other corporate actions. It…
The document explains why the VIX should not be expected to equal a quoted at-the-money implied volatility for SPX or SPY options. The key distinction is that VIX represents a variance-swap-style measure derived from a broad range of SPX option strikes,…
The document outlines ways to investigate persistent losses at a trading desk that sells structured bonds with embedded options and hedges them in the market. It first asks whether the products and hedges were intended to earn zero net P&L. If the desk…
The discussion explains robust standard errors in GARCH estimation as a quasi-maximum-likelihood approach associated with White’s covariance estimator. The central point is robustness to a misspecified conditional distribution: for example, estimation can…
The discussion asks whether a long-dated at-the-money straddle should use the strike nearest spot or the strike nearest the forward. The answer is that “at the money” depends on the market and product convention. Foreign exchange volatility quotes may define…
The discussion explains that the probability measure for a simulated asset path should match the simulation’s purpose. For derivative valuation, it recommends the risk-neutral measure, using the risk-free rate as the drift so simulated prices are consistent…
The document explains why the mean return may be treated as negligible relative to dispersion over a very short time interval. Its answer states that expected return accumulates in proportion to elapsed time, while standard deviation grows with the square…
The document asks how to choose portfolio weights that maximize expected return for a specified level of variance. The response identifies the problem as Markowitz mean-variance optimization and describes the efficient frontier using expected returns and the…
The document offers career and self-study guidance to a Java developer moving toward quantitative finance. It cautions that there is no single standard platform: practitioners may use tools such as R, MATLAB, and Visual Basic, while more involved Java or C#…
The document addresses a timing question about an exponentially weighted volatility model: if the residual at time t uses the actual value at t, why forecast volatility for that same time? The response points out that the equation as written may have its…
The document works through Itô’s formula for a function of two time-varying state variables, each with drift and diffusion terms driven by correlated Brownian motions. It explains that the second-order expansion includes a mixed derivative, and that the…
The document asks why a deep out-of-the-money SPX call at a round-number strike can show substantial trading volume, and whether it belongs in data used to construct an option-implied risk-neutral distribution. The responses suggest checking open interest…
The document asks for papers or books on pricing debt instruments that allow prepayment. The author has found general material on callable bonds but wants references explaining whether a prepayment option can be modeled as a call feature or as an option such…
The document questions a proposed two-period expected-loss calculation based on a credit-rating transition matrix. It describes composing transition matrices across two periods and then combining selected transition probabilities with changes in default…
The discussion interprets a claim that hedge funds can ease collateral pressures by deploying liquid collateral and transforming illiquid assets. It connects that flexibility to differences between hedge funds and traditional asset managers, including limits…
The document asks how to value the first floating coupon of a fixed-to-floating interest rate swap when its SOFR observation has a ten-day lookback and the coupon period has begun, but its fixing is still in the future. The specific question is how to…
The document gives an intuitive account of the typical trade-off between option gamma and theta. A long option position has positive gamma: after delta hedging, it can benefit from sufficiently large moves in either direction. That convex payoff has a cost,…
The document compares the payoff of a year-on-year inflation swaplet, based on the ratio of two CPI levels, with a total return swaplet based on an asset price ratio. Although the payoffs have a similar form, their models need not produce the same convexity…
The document discusses why a finite-difference estimate of option theta may not match a market data provider’s reported value. A finite difference estimates the change in option value as time advances, divided by the time increment. The scale of the result…