The document examines an apparently significant regression slope when current S&P 500 returns are regressed on the previous observation. The reported test uses daily closing prices over a long historical span and finds a positive lag-one coefficient with a…
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Dokumentumok száma: 20,364
The document explains why a cap option example presents both a 7% LIBOR or swap zero curve and a 6.9395% continuously compounded zero rate. The rates use different quoting conventions: a 7% annual LIBOR rate with quarterly payments corresponds to four…
The document asks how to estimate historical at-the-money S&P 500 option prices using public data, including VIX or another implied-volatility index, and whether modestly out-of-the-money strikes could also be considered. The answer points to a published…
The discussion explains how to interpret a one-month horizon when estimating historical Value at Risk from a year of equity portfolio history. The proposed approach is to calculate rolling portfolio returns over a fixed interval at each historical date,…
The discussion clarifies which degrees-of-freedom estimate belongs in a one-day Value at Risk calculation under a Student-t GARCH model. It distinguishes conditional residuals, which scale with the time-varying volatility, from standardized innovations,…
The document raises a distribution-choice question: why a simulated Laplace process appears to have slightly lower probabilities of crossing selected cumulative-return thresholds than a normal process, despite the Laplace distribution’s reputation for…
The question asks how to differentiate an integral whose upper limit and integrand both depend on time, with the integrand also depending on a stochastic process. One reply proposes applying a Leibniz-style rule: account for the changing upper limit and…
The discussion considers how to optimize a portfolio of currency exposures when a forecast sometimes points in the same direction against the U.S. dollar for every currency. Replies distinguish currency positions from currency pairs and emphasize defining…
The document considers whether an exponential stopping-time intensity changes when pricing a prepayment claim under the risk-neutral measure. It explains that a Poisson process used only to define an exogenous redemption time need not change under the…
The document addresses how to compute the second derivative of the logarithm of market discount factors in the Ho–Lee interest-rate model’s calibration function. Since observed discount factors are discrete values rather than a continuous formula, the…
The document explains how to estimate an Ornstein–Uhlenbeck process for mean-reverting data, motivated by simulating a stock-price spread for pairs trading. It discretizes the process over equally spaced observations and relates the resulting equation to an…
The document distinguishes realized profit on a consumer loan from the estimate made when the loan is issued. After repayment, the bank can compare the loan’s return with its cost of capital over the loan period. Before the outcome is known, the…
The document describes two approaches to extending binomial or multinomial option pricing to two risky assets over multiple time steps. One approach changes to a stock measure and expresses the pair of asset prices through their ratio, using a common state…
The document frames a hedging comparison for an American issuer with Canadian-dollar bonds and an existing USD/CAD fixed-for-floating swap. The issuer wants to hedge the swap’s floating FX leg, choosing between an FX basis swap and a series of three-month FX…
The document explains particle filtering through a comparison with the unscented Kalman filter. Both methods propagate representative states through a model and update them after receiving a measurement. A UKF uses a small collection of sigma points and…
The document considers whether option open interest and trading volume can help predict next-day stock direction. It identifies candidate features such as call-put imbalances, changes in open interest, volume relative to open interest, activity by moneyness,…
The document raises a data-quality question about occasional one-day jumps in a 12-month at-the-money call implied-volatility series for a bank equity. The observed values reportedly rise sharply for a single day and then quickly return toward their prior…
The document explains the microprice, a weighted average of the best bid and ask that gives greater influence to the side with less displayed volume. With more size at the bid, the resulting estimate moves above the ordinary midpoint. The discussion…
The document gives an introductory explanation of the Hamilton–Jacobi–Bellman equation in a market-making model. The value function depends on time and the trader’s inventory, and the goal is to choose bid and ask spreads that optimize it. The explanation…
The document considers whether a simple moving average over a fixed window can be updated without retaining the previous window’s prices. Its key conclusion is that an exact SMA requires the outgoing observation: when a new price arrives, the oldest price…
The answer distinguishes a bond’s quoted clean price from the dirty price paid in a secondary-market transaction. The clean quote excludes accrued interest; the dirty proceeds include accrued interest through settlement and may also reflect adjustments for…
The document explains how a covariance matrix can define an ellipsoidal measure of distance between a random return vector and its expected value. For normally distributed returns with covariance matrix Σ, the density’s exponent is a quadratic form using…
The document considers how a market maker with no initial inventory might submit orders to capture the bid-ask spread, and whether submitting both sides is preferable to sequential or one-sided strategies. One response explains that market makers generally…
The document asks how short-selling bans affect derivatives markets, especially futures, options, hedging, and market-making. Its substantive example concerns a 2008 SEC exemption that allowed options market makers to short sell for bona fide market-making…