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.
1,414 documents
The document explains that CME margin, also called a performance bond, is tied to market risk and volatility, but says the exchange’s precise calculation formula is not publicly specified in the discussion. It points readers to SPAN as the relevant margin…
The document investigates a simulation of commodity prices using an exponential Vasicek or Ornstein–Uhlenbeck model. It presents a closed-form time-step expression for the logarithm of the price, along with a Python implementation and an unexpected upward…
The document clarifies that basis risk arises when a futures hedge does not move exactly with the asset or exposure being hedged. It gives examples where the deliverable or referenced instrument differs from the hedger’s actual exposure: wheat from one…
The document discusses how practitioners might measure time to expiry when valuing commodity options on futures. It frames the choice between calendar-day and business-day conventions as dependent on how theta is accumulated and how volatility estimates…
The document derives a Black–Scholes-style valuation for a heat rate-linked payoff equal to the positive part of the difference between two independent lognormal asset values. It represents each asset with a standard normal variable, then changes numéraire…
The document surveys broad approaches to modeling energy derivatives, with particular interest in electricity and also natural gas. One proposed path is to model the physical supply and demand relationships that drive prices. For electricity, the sudden loss…
The post asks how to price an oil forward that requires payment at inception rather than following the usual zero-value-at-entry convention. The stated forward price incorporates spot, the risk-free rate, storage costs, and convenience yield. The reply…
The document considers how to choose between two commodity futures for hedging jet fuel when their minimum-variance hedge ratios and recommended contract counts differ. It says the objective is to reduce the variance of the combined exposure and hedge, so…
The document asks how traders can exploit changes in the difference between futures prices and the underlying cash asset, including how futures roll and carry costs affect the strategy. The response suggests framing this as carry or roll trading, with…
The document discusses assigning intraday timestamps to daily commodity futures prices collected across several exchanges. Its central practical lesson is to distinguish a contract’s settlement time from the end of its trading session: those times can…
The discussion examines whether gold is a reliable hedge for equities after a broad-period Bloomberg correlation between gold and the S&P 500 appears close to zero, while a VIX regression shows a stronger inverse relationship. It explains that the…
The document outlines the cost components used to relate an oil spot price to a theoretical futures price. It includes funding, storage, and the cost of removing oil from storage and transporting it to the delivery point. Funding is represented by the…
The discussion asks how to estimate historical volatility when electricity prices can be negative, making log returns undefined for some observations. It explains that the return measure should follow the assumed model: absolute price changes suit a model…
The document poses a portfolio-volatility question about the Bloomberg Commodity Index and its sub-sector indices. It supposes that the sub-sectors have the same average one-year at-the-money implied volatility and asks whether the index’s implied volatility…
The document sets up a short, constant-horizon forward strategy in a contangoed market and asks how rolling positions affects its value. It models exposure across adjacent maturities, imposing both a target effective maturity and a self-financing condition.…
The document explains why the VIX model does not translate directly into a universal volatility index for every asset class. VIX is described as the square root of a variance swap strike, calculated from traded equity index options; constructing a comparable…
The document considers whether the standard no-arbitrage forward-pricing argument can be adapted when the underlying is a consumption asset that investors may be unwilling or unable to sell short. It assumes no yield or storage cost and compares a long…
The document considers how to remove seasonal patterns from agricultural futures data. Its answer cautions that seasonality can vary by commodity: planting, growing, and harvest schedules, including the number of harvests, may shape within-year patterns. It…
The document asks how to model energy forward curves using a seasonal component plus a smooth deviation, and whether alternatives exist to the Lucia–Schwartz seasonality specification. It names the Gabillon two-factor model as one alternative, describing it…
The discussion clarifies that the start and end periods in a CME futures margin table refer to ranges of contract expiration dates. They do not indicate calendar windows during which every contract receives the listed margin, nor do they simply assign a…
The document derives a spot-price stochastic differential equation from a model for futures prices whose volatility decays with time to maturity. Setting the spot equal to the futures price at maturity, it first rewrites the log spot using the initial…
The discussion considers how to estimate an OTC call option price when the underlying commodity future trades farther out than listed options. It suggests using a standard option model such as Black-76, with an underlying futures price and an estimate of…
The document outlines a workflow for modeling volatility in returns for several agricultural and precious commodities and Brent crude across historical subperiods. It first checks squared returns and applies ARCH-LM tests, then considers a standard GARCH…
The discussion distinguishes a producer’s physical sales agreement from a futures position used to hedge the price risk of that sale. A producer may have agreed to deliver oil to a particular refinery at the future spot price; a short futures position can…