The note explains why an asset’s volatility over a fixed horizon matches the volatility of a prepaid forward contract on that asset with the same expiry. Both are measured as the standard deviation of a log return over the period. At the start, the asset…
Knowledge library
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.
Search the library
9,797 documents
The note concerns using CME SOFR futures for hedging and asks why a market-data field reports a duration of 0.25 across maturities. The response associates that quarter-year figure with three-month SOFR futures, whose underlying reference period spans about…
The discussion considers derivatives whose payoff combines a weather measure, such as temperature or snowfall, with a financial asset or index. It does not identify a specific contract with the proposed basket payoff. Instead, the answers point to related…
The document discusses how to obtain historical data for European electricity futures and options, prompted by a researcher seeking EEX contract histories for a model. It describes several possible routes: ask the exchange whether it can provide data, seek…
The document discusses how a learner studying derivatives can practice hedging and trading in a simulation or demo account. The answer describes Interactive Brokers’ paper account as an option for customers with a live account, noting that it had broad…
The document discusses how to measure the risk left when a government bond is hedged with a bond future, even when their DV01s match. Matching DV01 addresses first-order sensitivity to yield changes, but does not make the positions behave identically. The…
The document discusses how to estimate risk inputs for an option on the difference between two futures. It presents three approaches to spread volatility: calculate it from historical spread returns, combine the futures’ implied volatilities with a…
The document considers how to estimate when displayed ask depth will be exhausted so a trader can place a bid at the previous ask during an upward price move. The setting is a continuous double auction on a bitcoin futures exchange. A basic regression over…
The document calculates the probability that standard Brownian motion is positive at the first observation time and negative at the second. It represents the first value as one standard normal variable and the later value as that variable plus an independent…
The document explains how an investor exits a futures position before delivery. The basic action is to trade in the opposite direction: a long position is offset by a short trade, or a short position by a long trade. The accepted answer compares this with…
The document explains why a two-year government bond future cannot be priced reliably by chaining deposit futures to estimate a matching interest rate. A deposit curve can be built from deposit rates and used to discount the bond’s cash flows, but deposit…
The question examines why the interest-rate sensitivity of a European option on futures can differ from the rho formula for an option on an asset with a continuous yield. The explanation identifies two rate exposures: discounting the expected payoff and the…
The discussion answers where Python strategies can send live orders across markets, distinguishing execution connectivity from Python’s role in research or backtesting. It names Interactive Brokers’ APIs and tools, including IBPy, IB Gateway, and Trader…
The discussion compares broker and vendor APIs for collecting real-time and historical market data, especially for US futures, equities, and market depth. It contrasts Interactive Brokers’ update intervals with services that offer tick data, historical…
The document corrects a textbook description that presents a Eurodollar futures contract as a commitment to deliver a one-million-dollar, three-month time deposit. The answer explains that the CME contract was cash settled rather than physically delivered.…
The document raises a curve-construction question about combining SOFR futures at the front end with SOFR swaps at the longer end. It notes that centrally cleared swaps require daily cash variation margin and asks whether that feature makes their economics…
The discussion considers a bullish investor choosing how to gain exposure to a forward, with position size capped at a stated maximum. The response explains that an optimal position cannot be determined from the expected direction alone: it depends on the…
The document poses a currency risk management exercise for a Czech company with a euro payable due at month end and an expected euro receipt halfway through the month whose arrival is uncertain. It asks how to hedge the exposure using futures, calculate the…
The document explains when discrete and continuous compounding are used in cost-of-carry pricing for equity futures. Discrete rates are common in practice because real cash flows, such as bond coupons, occur at intervals. Continuous compounding is often…
The document explains how a netted position can show a larger percentage change than its gross component exposures. It uses a crude-oil curve spread: one maturity is short and another is long, leaving a small net exposure compared with the combined gross…
The document distinguishes deliverable interest-rate swap futures from the swaps they may deliver into. The listed instrument is a futures contract, so it is not issued like a security and does not begin as a bilateral swap between the original buyer and…
The document explains common ways leveraged exchange-traded funds obtain exposure, using a fund targeting three times the Nasdaq 100's daily performance as an example. It describes the use of futures, swaps, borrowing, and underlying securities, while noting…
The document considers whether a bond future belongs in an interest-rate or credit-derivatives category. One response classifies it primarily by its contract mechanics: a bond future does not specify credit events that trigger a credit-derivative payoff, and…
The document raises a question about a textbook method for hedging a diversified equity portfolio with index futures. The described approach divides the portfolio’s value by the value of one futures contract to determine a contract count. The questioner asks…