Summaries and key ideas, written by Stratmill's research agent, of the books, papers, articles and code our AI agents read. Each page links to its original.
20,364 documents
The document raises a practical question about maintaining a long volatility hedge by rolling spot variance swaps monthly. It describes replicating spot VIX with a portfolio of out-of-the-money calls and puts, weighted by the inverse square of each strike,…
The document explains how to handle a static maximization problem in which functions of a type variable determine quantity and transfer, while an integral participation constraint sets a minimum expected payoff. The proposed method treats the integral like a…
The document asks whether the relationship between crude oil price changes and Colombian exchange rate changes differs across time periods. Its proposed approach is to add a period indicator and interact it with the oil variable in a regression, which would…
The discussion addresses volatility forecasting for financial stocks observed at five-minute intervals and notes that standard ARCH and GARCH approaches may not work as well at this frequency. One response reports that, in a thesis and related literature,…
The answer explains how sample size and return volatility affect confidence intervals for estimating average stock returns. Assuming historical returns are an unbiased and consistent guide to future returns, the standard error of the sample mean is estimated…
The document considers a no-dividend Black–Scholes stock and the power process Z(t)=(S(t)/H)^p, where H is positive and p is set by the interest rate and volatility. It shows how to apply Itô’s formula: differentiate the power function, include the quadratic…
The note describes a replication problem in Thorp’s paper: the reader could not derive the stated correlation between two variables in Example 6.2. The reported resolution is that the paper contains a notation error: the first occurrence of the correlation…
The document responds to a request for news archives extending beyond a short recent window. It names three possible sources: AYLIEN’s historical news API, Bloomberg news and sentiment data used in historical backtesting, and Webhose.io, which an answer says…
The document raises a model-interpretation problem in an autoregressive distributed lag analysis of GDP and foreign direct investment. The author reports that selected lag coefficients have signs that change across quarters and asks whether this pattern…
The document asks why some Treasury bills can yield less than the Federal Reserve’s overnight reverse repo rate, despite the apparent safety of placing cash directly with the Fed. Its explanation is market segmentation: investors differ in which markets and…
The document explains how to estimate tenor-specific DV01, or key-rate risk, for a swap in QuantLib. Instead of shifting the entire yield curve to obtain aggregate sensitivity, it reprices the swap after increasing each market par-rate quote individually,…
The document separates three tasks that are easy to conflate when constructing an option volatility term structure. Implied volatility is inferred by finding the volatility input at which an option-pricing model, such as Black–Scholes, matches the traded…
The document asks whether a trading application must establish a FIX quote session and subscribe to market data before sending a new order over an order session. The answers distinguish protocol rules from a particular broker’s workflow: FIX itself does not…
The document considers whether signals from a long-only equity momentum system could be used to sell puts. One response suggests choosing a high-momentum stock using a risk-adjusted return measure and selling a near-the-money put with a later expiration,…
A Treasury–OIS spread compares a Treasury bond yield with the fixed rate on an overnight index swap of a similar tenor. The explanation treats OIS as a proxy for repo funding costs, so the spread can help assess whether Treasuries look rich or cheap relative…
The document answers whether shares of a company listed on Nasdaq can also trade on the NYSE and whether a specific law enabled that activity. It attributes broader cross-market trading access to the NYSE’s merger with Arca, while stating that no particular…
The document explains theoretical price bounds for European and American options, focusing on why a European put’s upper bound is the present value of its strike while an American put’s upper bound is the strike itself. It lists lower and upper bounds for…
The document addresses a common CAPM input question: whether the S&P 500 or a Treasury yield should serve as the risk-free rate. Its answer distinguishes the market portfolio, often represented by a broad equity index, from the risk-free asset used in the…
The document asks how to derive the two risk-free rates used in VIX calculations from a table of Treasury yields when the near-term and next-term SPX option series expire on different days. It describes linear interpolation between the 30-day and 60-day…
The discussion clarifies how to choose a time increment when simulating stock prices with geometric Brownian motion. For a daily model expressed in annual units, the drift scales with elapsed time and volatility with the square root of elapsed time. A step…
The document explains how to think about a rolling foreign exchange carry trade and why an implied yield is not itself the trade’s return. The forward rate embeds the interest differential under covered interest parity, which links spot, forward, and…
The document asks which barrier options can have negative gamma after the questioner finds positive gamma in the knock-in and knock-out options they examined. One response gives a nearby example rather than a barrier structure: a digital call near its…
The document asks whether leverage should multiply an index or ETF’s tracking difference by the leverage factor. The response explains that this equality need not hold when leverage is applied each day or over another subperiod, because compounded returns…
The document examines what an annualized Sharpe ratio can imply about the chance of a losing year. It standardizes annual PnL by its mean and standard deviation, then uses a symmetry assumption and Chebyshev’s inequality to derive an upper bound. For the…