The document explains why a security’s beta can be similar when estimated from daily or weekly returns. Beta is defined as the covariance between security and market returns divided by market-return variance. Under an assumption that daily security and…
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Dokumentumok száma: 20,364
The document explains why standard asset pricing models associate expected return with systematic risk rather than asset-specific risk. In the single-index model, each asset’s return combines market exposure with an independent residual. A portfolio-variance…
The document examines an hourly machine-learning signal that predicts the direction of returns measured from an interval’s average price. The key timing issue is that the signal becomes available only after that interval ends, so a backtest that assumes…
The document compares two EUR/USD option hedges for a short-euro exposure: a call spread and a risk reversal consisting of a long call and short put. It explains that neither structure is automatically delta neutral. The option legs have their own deltas,…
The document raises a portfolio-choice problem: how to allocate wealth between a risky market asset and a risk-free asset when utility rewards expected return and penalizes return variance. It gives a quadratic mean-variance utility function with a…
The document explains why two quoted yields for a US Treasury bill can differ even though the bill pays no coupons. It distinguishes the discount yield, which annualizes the discount from face value using a day-count basis, from the Treasury-convention yield…
The document explains the distinction between loan-loss provisions and bank capital, and corrects the idea that capital is a separate pool of cash earmarked for particular assets. It describes capital as an accounting measure of the residual claim belonging…
The document asks how a UK investor can express the spread on a US dollar bank loan in sterling terms. The example is a five-year loan paying three-month USD LIBOR plus 100 basis points, with the desired result stated as three-month GBP LIBOR plus an…
The document describes an attempt to estimate an option premium by replicating a strategy using futures order-book snapshots. The data consist of daily observations at noon over one month for futures with different delivery periods. The central question is…
The document considers how an implied equity risk premium might change as interest rates shift when expected equity returns are estimated from dividend yield, trend growth, and valuation change. It highlights the difficulty of inferring a stable relationship…
The document asks how machine-learning methods such as random forests, support vector regression, gradient boosting, and nearest neighbors compare with GARCH when forecasting volatility beyond a single step. It also asks whether these models use lagged…
The document compares options for asynchronous, non-blocking TCP and UDP networking in C++, framed around low-latency and real-time development. It notes that standard networking support was expected in C++17 and presents Boost as a way to abstract…
The document presents reserve price and reserve bid and ask expressions from the Avellaneda–Stoikov market-making strategy. The reserve price shifts from the market midpoint according to the trader’s inventory, risk aversion, price volatility, and remaining…
The document explains how to calculate the weights of a tangency portfolio from expected excess returns and the inverse covariance matrix. Multiplying the inverse covariance matrix by the excess return vector produces an unnormalized vector of asset…
The document asks how to construct a maximum likelihood objective when modeling a process with multiple independent Cox–Ingersoll–Ross factors. It contrasts adding the factors’ conditional densities at each observation and taking the log with summing the log…
The document examines the expected value and variance of gamma P&L under different delta-hedging intervals. The question assumes normally distributed underlying returns, constant implied volatility, no transaction costs, and a constant dollar gamma exposure.…
The document shows how to value a call whose payoff applies leverage and a shift to the terminal underlying price. For a positive leverage factor, the payoff can be factored into the leverage multiplied by a standard call payoff. This transforms the original…
The question asks how to price a European call when the underlying follows mean-reverting arithmetic dynamics with constant absolute volatility. The answer frames option valuation through a change to a risk-neutral process: in a complete market with…
The document explains how the risk-neutral measure prices a stock when its terminal value is discounted at the short rate. Under an equivalent martingale measure, discounted asset prices are martingales, so the stock value is the conditional expectation of…
The document asks how to maximize expected portfolio return while keeping risk, such as value at risk, under a chosen ceiling. The answer points to an R package with portfolio optimization routines for expected shortfall and its long-short variant,…
The document explains the one-period binomial model’s no-arbitrage condition: the risk-free gross return must lie strictly between the down and up factors. If both possible stock returns exceed the risk-free return, borrowing at the risk-free rate to buy the…
This exchange discusses a discounted cashflow model for pricing a floating rate note and estimating interest rate and credit duration. The proposed model uses today’s reference rate in every projected coupon and discounts those cashflows using a discount…
The document raises a fixed income pricing question: why a nearly expiring 10 year Treasury note futures contract appears to imply a yield different from the yield on recently auctioned notes. The author recognizes that the futures contract assumes a…
The exchange considers whether daily EURIBOR 3M fixings can be compounded into a total return index, including whether to use a quarterly rate or a daily accrual convention. The answer explains that EURIBOR is a reference fixing for the cost of term…