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.
10,263 documents
The document questions media descriptions of US Treasury futures basis trades as arbitrage. It focuses on a cash bond and futures hedge, especially when the bond is the cheapest to deliver, and distinguishes a negative gross basis from a genuinely locked-in…
The document examines a formula for the weights of a conditionally optimal portfolio, called the unconstrained minimum-variance efficient portfolio, in a setting with multiple risky assets and no riskless asset. The weights depend on the conditional mean…
The document gives a quick approximation for the mark-to-market change on a fixed-rate interest rate swap after a small change in its quoted rate. The proposed method multiplies the rate move by the swap’s duration and notional, with the sign determined by…
The document asks how to interpret the cash-account changes in Piterbarg’s framework for pricing derivatives under collateral agreements. It distinguishes dividend income on a hedging stock position from the cost of financing that position, and asks why…
The document asks what to call the overlapping strike prices in ordered lists of call and put options. Its answer uses the underlying spot price to explain the standard moneyness categories: calls with strikes below spot and puts with strikes above spot are…
The document discusses when to roll a six-month call option into a longer-dated option, such as one expiring in nine or twelve months. Its main suggestion is to consider rolling when implied volatility in the existing LEAP is elevated and fewer than six…
The exchange explains the role of delta hedging in the Black–Scholes framework. A portfolio short the option and long the underlying in proportion to the option's sensitivity to the underlying cancels the shared stochastic price movement in the idealized…
The discussion compares broad approaches to estimating fair value in corporate credit. It notes that cross-sectional regressions are common in published work, then frames structural models, stochastic pricing models, and hybrids that use distance to default…
The document explains the intuition behind representing a variance swap hedge as a weighted portfolio of vanilla options across strikes. The integral represents a continuous strip: at each strike, the portfolio holds an amount determined by a weighting…
The document addresses calibrating the SABR parameters rho and nu when beta and alpha are fixed. The target is to minimize the sum of squared differences between observed market volatilities and model-implied volatilities. The questioner’s R call supplies…
The document considers which discount curve to use for an uncollateralized cross-currency swap when valuation is expressed across two currencies. It weighs choosing a reporting currency and building a second curve with foreign-exchange forward or…
The document compares approaches for calculating American-option implied volatility repeatedly in a production setting. It discusses closed-form approximations, including Barone-Adesi–Whaley, Roll-Geske-Whaley, Ju–Zhong, and Bjerksund–Stensland, while…
The document asks how today’s implied volatility for a forward-start call relates to the implied volatility observed when the option begins. The call’s strike is set as a multiple of the stock price at a future start date, and its payoff depends on the stock…
The document considers the no-arbitrage relationship between prices of call options on the same stock with the same expiry but different strikes. A lower-strike call should be worth at least as much as a higher-strike call, since its payoff is never smaller.…
The document raises whether power derivatives should be discounted and, if so, which curve should be used. It contrasts the usual use of overnight indexed swap rates, grounded in an assumed risk-free hedge, with commodity pricing that adjusts for dividends…
The document explains why an autocall with a linear payoff can still have volatility exposure. The payment date is determined by whether a second index crosses a barrier: with low volatility it may never cross, while higher volatility increases the chance of…
The document raises a pricing question about crypto options: whether a reported discount rate around 10% is unusually high, and whether observed option quotes imply a rate near 12% when checked against put-call parity. It presents bid and ask snapshots for…
The document explains why a contract for difference (CFD) tends to track its underlying asset. A CFD is a contract with a provider, so its value depends on the terms and creditworthiness of that provider; the holder does not own the underlying asset and may…
The document investigates why a QuantLib fair rate for a Mexican TIIE swap differs from the market quote used as a curve node. The response identifies two setup issues: the example’s swap start date does not match the stated one-day settlement convention,…
The document explains how to obtain a partial differential equation for a discount factor used to express a futures price. It starts with a pricing PDE for a claim depending on the spot price and interest rate, then substitutes the similarity form in which…
The document asks whether two bond valuation approaches treat default risk inconsistently. One approach defines expected yield to maturity for a zero-coupon corporate bond by discounting its probability-weighted expected payoff. The other values expected…
The document explains a measure change used in a derivation of constant-maturity swap convexity. It considers the expectation of a swap rate under a forward measure associated with a bond maturing at the payment date, then rewrites it under an annuity…
The document asks how sums of squared log returns can approximate integrated variance, and why the approximation works even when returns are sampled daily. It distinguishes realized variance, formed by summing squared returns over a sampling grid, from…
The document contrasts two mathematical characterizations of the perpetual American put discussed in a stochastic calculus text. The analytical treatment describes the option value through partial differential inequalities and linear complementary…