The document clarifies how carry on a Treasury curve steepener can compare with carry on an outright long-duration position. It distinguishes the financing cost of holding the two legs from the carry described in a market report. For a payer position over a…
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9,797 documents
The document distinguishes the drift of a forward price from the drift of the value of a forward contract. In the stated simplest setting, with a constant risk-free rate, the underlying follows a diffusion whose drift under the risk-neutral measure is that…
The document explains why futures expiry dates cannot be inferred from a single monthly rule such as the third Friday. Contract dates vary by exchange and by product, so traders should consult the relevant contract specifications and exchange calendars.…
The document considers how a trader might identify the cause of a sudden increase in overnight futures volume. Its example is a sharp burst in trading activity in an S&P futures contract after midnight, prompting a question about where to find timely market…
The document analyzes how reducing the notional coupon used for CBOT bond futures conversion factors could affect contract DV01. In a simplified case with one deliverable bond and no change in the cheapest-to-deliver (CTD) bond, the modified duration is…
This note asks how the value of a European call on a non-dividend-paying stock changes with the futures price observed before expiry, when the option and futures contract mature together. It relates the futures price to the spot price through the interest…
The document asks how to select volatility for a long-dated option on an hourly electricity swap valued with shaped monthly futures and a generation schedule. The proposed setup uses the resulting volume-weighted average price as the futures input to…
The document describes a possible relative-value trade across three crypto futures markets: BTC/ETH settled in BTC, USD/ETH settled in ETH, and USD/BTC settled in BTC. It suggests that prices may temporarily diverge and proposes a spread expression based on…
The question examines a European option on a futures contract and asks why its pricing should reflect a risk-neutral futures growth rate of zero, even though a stock-option hedging argument appears to produce the same partial differential equation. The…
The discussion distinguishes a futures contract’s closing price from its settlement price. The closing price is described as the final trade price during trading hours, while the settlement price is the official value used to mark positions to market.…
The document explains why futures and spot prices tend to converge at expiry through replication and arbitrage. If a futures contract is mispriced relative to the cost of holding the underlying, traders can buy the cheaper exposure and sell the more…
The document collects suggestions for learning quantitative finance online, with an emphasis on free or lower-cost study. The original question names material on financial engineering, option pricing, Monte Carlo methods, and MIT OpenCourseWare, while noting…
The document describes a forecasting problem for electricity futures, where delivery spans a period rather than occurring on a single date. It explains that the usual spot-and-carry pricing relationship does not capture the observed risk premium, which is…
The document asks how to select the forward and strike inputs for Black-76 when interest rate futures are quoted as a price derived from an interest rate. The included response does not resolve that input convention, but reports using a Gaussian, or…
The document contrasts theoretical modeling with a market-based approach to valuing VIX futures. It identifies variance gamma models as a theoretical framework for VIX futures and options, while noting that obtaining robust results with this model class can…
The document distinguishes agricultural futures trading from options trading and explains why farmers may still rely on exchange prices even when they do not trade listed contracts. It says farmers typically use futures to hedge crop prices, while the…
The document addresses why credit exposure on a forward may increase over its life even as uncertainty about the remaining market movement declines. The answer separates the likelihood of counterparty default from the potential loss if default occurs. At…
An IMM dated swap is generally a standard interest rate swap whose start date falls on an IMM date, so it can be viewed as a forward starting swap when that date is later than the spot start date. The document distinguishes this from an IMM anniversary swap,…
A LIBOR curve represents market-implied estimates of a particular tenor’s reference rate on future dates. A six-month LIBOR curve, for example, can be queried for an estimated six-month LIBOR rate at a future date; it does not show a six-month rate that…
The document poses a derivatives-pricing question in a two-step binomial model with a non-dividend-paying underlying and varying interest rates. It asks how to calculate the futures price at the initial time and how to compute the risk-neutral expected value…
The document poses a fixed-income derivatives question: whether a portfolio consisting of a long forward rate agreement and a short Eurodollar futures contract has positive or negative convexity. It asks for an explanation of the portfolio’s exposure, but…
The discussion distinguishes an option’s discounted expected payoff under real-world probabilities from its arbitrage-consistent price. It explains that knowing the physical distribution of future returns does not generally make its probability-weighted…
The document distinguishes the rate implied by one-month SOFR futures from the discount factor needed to construct a curve. It expresses the futures rate as an expected average of short rates over the reference month, while a discount factor depends on the…
The document explains why a persistent positive basis, defined as spot price minus futures price, can make a long futures hedge profitable on average under a particular assumption. If spot behaves like a martingale and futures begin below spot, convergence…