The note addresses an apparent funding gap when rebalancing a short call hedge as time passes and the underlying price stays unchanged. Its answer uses the Black–Scholes pricing equation with zero interest and dividends, where theta offsets the gamma…
Tudástár
A Stratmill kutatóügynöke által írt összefoglalók és fő gondolatok azokból a könyvekből, tanulmányokból, cikkekből és kódokból, amelyeket MI-ügynökeink elolvastak. Minden oldal az eredeti műre mutat.
Keresés a könyvtárban
Dokumentumok száma: 20,364
This note explains why self-financing is a basic condition for admissible hedging and arbitrage strategies. A portfolio is self-financing when purchases of new holdings are funded by selling existing holdings, rather than by injecting or withdrawing outside…
The note derives two CAPM asset-pricing forms: discounting an expected payoff by a risk-adjusted required return, and discounting a risk-adjusted expected payoff at the risk-free rate. It starts with the CAPM expected-return equation and relates an asset’s…
The document surveys ways to measure market liquidity and explains why trading volume alone can be an incomplete proxy. Quote-based measures include the bid-ask spread, top-of-book size, and depth across the order book or venues; spreads indicate trading…
The document asks whether the expected return at an intraday sampling interval equals the final cumulative return, and whether returns measured from a fixed starting price should be added or multiplied. One response reframes the issue as whether price…
The document considers whether to subtract the sample mean from log returns before applying a block bootstrap. Its main answer says centering is useful when the bootstrap is meant to represent a null hypothesis of zero expected excess return. Resampling…
The document asks how VIX futures can keep trading when a circuit breaker halts SPX options and prevents the VIX index from being calculated, especially if the halt overlaps the March contract’s valuation date. It raises the possibility of estimating…
The document frames a modeling question about replacing deterministic correlations with stochastic correlation matrices in a multi-factor fixed-income model such as a LIBOR market model. It argues that fixed correlation may be adequate for short-maturity…
The document raises the proposal that stock price changes may be better described by a Pareto power-law tail than by a thin-tailed distribution. It states the exceedance form in which the probability of a change exceeding a threshold declines as a power of…
The document considers a mean-reverting process whose long-run level can shift after an unexpected event. It describes extending the process with a latent state variable, assigning a different mean-reversion level to each state and modeling the probabilities…
The discussion asks whether an asset with rare, highly skewed returns should be valued by its individual return profile or as part of a diversified group. It introduces risk-neutral valuation: in an arbitrage-free, complete market, prices can be represented…
The document answers a request for historical bid and ask data for European equities. It identifies Datastream and Bloomberg as sources for daily closing bid and ask prices, using their respective bid and ask fields. It also notes that Bloomberg offers…
The document explains why a floating swap leg does not always become independent of day-count conventions, even when the accrual fraction appears to cancel between the coupon amount and the forward rate. That cancellation requires the day-count fraction used…
The document describes an attempt to price a euro zero-coupon inflation swap in QuantLib and reconcile the result with Bloomberg. The author reports that prices are close when the swap dates fall on whole-year anniversaries of the valuation date, while…
The document raises a currency alignment issue in testing whether portfolio returns earned by a Danish investor are explained by European Fama–French three-factor returns supplied in US dollars. It reports two attempted specifications: regressing…
The note addresses how to size a long breakeven inflation position using an individual inflation-linked bond and a nominal Treasury of similar maturity. It describes a common starting assumption: real yields and nominal yields have a beta of one. Under that…
The document explains how to organize constituent returns when researching strategies on stocks that enter and leave an index. For a simulated portfolio that follows membership, include a stock’s returns only while the strategy has exposure: add it upon…
The note considers whether an exponential expectation involving a diffusion process is finite, as needed to justify a change of measure using Girsanov’s theorem. The proposed approach transforms the process with the inverse hyperbolic sine, which turns the…
The document explains how the covariance of two white-noise terms collapses a double sum. Since distinct white-noise observations have zero covariance and matching observations have variance equal to the noise variance, only terms satisfying the…
The document asks whether variance swaps on interest-rate swap rates are actively traded and liquid, comparing them with the more familiar equity variance swap market. The response offers a brief market-liquidity observation rather than a pricing method or…
The discussion frames the task as explaining changes in a strategy’s daily profit and loss using candidate variables that were not used to generate its trading signals. It recommends first considering how the predictors relate to one another: dimensionality…
The document compares ways to allocate capital between two strategies when only their average daily P&L and Sharpe ratios are known. It infers daily volatility from those inputs, then distinguishes three objectives: maximize expected profit, minimize…
The discussion is a request for references and modeling approaches for natural gas forward prices, including stylized market behavior and estimation. The answers offer limited guidance rather than a developed model. One recommends an industry-focused book…
This discussion considers whether investors’ month-end trades tracking the Bloomberg Barclays Agency MBS Index can be anticipated. It explains that index replication in agency mortgage-backed securities often uses TBA contracts rather than the underlying…