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.
9,797 documents
The document examines why a finite-difference sensitivity for a Black-76 call may appear to differ from a formula that includes discounting. It distinguishes the option expiry from the forward’s delivery date and explains that the discount factor depends on…
This discussion concerns mapping listed option identifiers between Bloomberg and Reuters. It gives an example of an older Reuters RIC pattern for a Eurodollar option: the identifier encodes an exchange marker, strike, expiry month, call or put designation,…
The note examines a claim that an arbitrage-free forward price equals the expected future price of its underlying security. It distinguishes the expectation used for pricing from a real-world forecast: under the risk-neutral pricing measure, the expected…
The document explores how to adapt volatility targeting when a single EWMA lookback reacts either too slowly to market changes or too strongly to routine variation. It outlines fast and slow EWMA variance estimates, explains how half-life determines the…
The document considers how to express a futures-versus-forward convexity adjustment derived under the Ho-Lee short-rate model when rates are quoted with simple rather than continuous compounding. The stated continuous-rate relation subtracts a term…
The document explains negative roll yield for a commodity ETF that uses futures to approximate spot exposure. As a held near-expiry contract approaches maturity, its price converges toward spot. In a contango curve, the next contract costs more than the…
The document asks how to interpret a yield-curve steepener when the curve is inverted. It describes a common two-leg position: buy the shorter-maturity exposure and sell the longer-maturity exposure, with sizing adjusted for the legs’ differing…
When a trading platform prohibits shorting individual stocks but allows short positions in index futures, a desired long-short stock portfolio may be approximated using an index that contains the relevant names. The example targets a long position in one…
The document recommends academic texts for learning the foundations of derivatives, including forwards, futures, and options. Shreve’s two-volume Stochastic Calculus for Finance is presented as a suitable route for readers with a strong mathematical…
The document asks how to build a five-month continuous gold futures series from individual contracts with different listing and expiry dates, in the context of replicating commodity models. It distinguishes the mechanics of stitching nearby contracts from…
The document explains how to use a volatility surface quoted by delta to price an option on a futures contract. For a given option strike, first find the implied volatility associated with that strike: when the surface is quoted by delta, solve for the…
The note outlines ways to offset interest-rate exposure in a corporate bond using interest-rate futures or swaps. For a futures hedge, it recommends comparing the bond’s DV01 with the DV01 of the futures contract’s cheapest-to-deliver bond, using a contract…
The document asks whether stock and vanilla option positions can create a synthetic long single-stock future when short puts must be fully cash-secured. It considers buying the stock and writing a put as a possible substitute, while noting the familiar…
The document explains why repo sensitivity can matter to a derivatives market maker even when the trader hedges with direct market positions rather than a repo agreement. Funding has an economic cost whether it comes from external borrowing or the firm's own…
The document explains the two-level structure of futures margining and addresses how a clearing house can pay winning traders even when some losing customers fail to meet margin calls. Brokers are responsible to the clearing house for their customers’…
The document examines a claimed relationship between a futures rate and a forward rate agreement under a T-plus-D measure. The questioner expects the convexity adjustment to equal one, reasoning that the bank-account accumulation and zero-coupon bond terms…
The document explains which correlation information to use when simulating one-day spot and futures price paths with a Cholesky decomposition. It frames the simulation in terms of changes in the risk factors, specifically the log returns of spot and futures,…
The document explains how a copula model relates to the variance-minimizing hedge ratio for spot and futures returns. That ratio depends on the correlation between the two return series and their respective volatilities. In a static copula model, the…
The document explains why physical commodity buyers and sellers use futures markets even when most contracts do not end in physical delivery. It clarifies that exchange classifications such as hedger and speculator do not cleanly separate people with…
The document examines how to identify the cheapest-to-deliver bond in a Treasury futures contract. It compares several ranking measures: lowest converted price after carry, highest implied return, highest net-basis profit, and highest hedge ratio. These…
The document explains why VXX can behave differently from the VIX index. VXX references VIX futures rather than the index itself, holding a rolling exposure to the nearest and next-nearest monthly contracts. To maintain roughly constant maturity as contracts…
The document explains how technical indicators such as moving averages and MACD can be used in neural network trading models. Indicators can be calculated from market data and supplied as predictor variables to the network, alongside raw price data. The…
The document explains what reported volume generally measures and why its meaning depends on the instrument and market. For exchange-listed stocks, volume usually counts shares traded; the monetary value is commonly called turnover or dollar volume. For…
The document considers digital signal processing for market data, focusing on decompositions such as wavelets that represent a price series as components across time and frequency. Removing high-frequency components can smooth a series, help characterize its…