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 examines a transaction described in a book about Enron. It says Enron held futures on its own stock whose gains could not be recognized as profit under accounting restrictions, while it had recorded a mark-to-market gain on RhythmsNet shares.…
The document explains how to remove the random component from a portfolio made of an option and its underlying stock. Applying Itô’s lemma to the option value shows that the portfolio’s Brownian-motion exposure is proportional to the option’s delta and the…
The document asks how to derive risk-neutral dynamics for a dividend-paying asset when the bank account is the numeraire. It outlines the martingale condition for the discounted asset plus accumulated discounted dividends, then applies Itô’s formula and…
The document asks whether credit markets have a volatility index comparable to familiar measures for equities and interest rates. Its answer points to four daily implied-volatility measures covering North American investment-grade and high-yield CDX indices,…
The document compares QuantLib Greeks for a stylized foreign exchange option with Bloomberg values, focusing on a mismatch in theta. It explains that QuantLib's analytic Garman-Kohlhagen engine reports model theta: the derivative of option value with respect…
The document considers how to value a fixed-for-floating swap whose floating leg references a rate other than LIBOR, with a CNY example. It explains that the appropriate discount curve depends on the transaction’s collateral terms: for fully collateralized…
The document asks how Markit defines spot dates for several currencies and how intermediate discount factors enter swap-curve bootstrapping. Its central example is a two-year EUR swap: the coupon schedule needs an 18-month discount factor, while quoted LIBOR…
The document asks how to price two claims under Black–Scholes: one paying the time integral of the asset price and another paying the squared log of its terminal price. For the integral claim, the answers use discounted risk-neutral expectation and…
The document asks how to obtain an FX option’s volatility from a surface quoted by delta and tenor. The proposed workflow first reads the at-the-money volatility, determines the option’s corresponding delta, then interpolates the volatility surface at that…
The document examines whether a European call butterfly, formed from three strikes, must have a strictly positive price under no arbitrage. It warns that subtracting separate lower-bound inequalities does not establish the desired result. One argument uses…
The document asks for free software to price high-dimensional American basket options under the Black–Scholes model using the Longstaff–Schwartz, or least squares Monte Carlo, method. It seeks control over the number of basis functions, simulation paths, and…
The document asks how to interpret the Black–Scholes price of a European equity call. It focuses on the formula’s two normal cumulative distribution terms, the stock price, and the discounted strike, and proposes reading the distribution terms as…
The document shows how to express a structured note’s terminal payoff as a combination of the underlying index and call options. In the example, the payoff follows the index below the principal level, stays flat over an intermediate range, and gains…
The document explains how to translate a credit default swap quote stated in points or as an upfront price into the market standard annual spread, usually expressed in basis points. It identifies the CDS standard model as the conversion method rather than…
This note describes a numerical approach to pricing European and American options under Kou’s double-exponential jump-diffusion model. The implementation uses a Crank-Nicolson time scheme for the partial integro-differential equation, a nonuniform spatial…
This note outlines a transformation of the Black-Scholes option-pricing equation into a diffusion equation, then asks how to simulate the transformed PDE numerically. It gives the variable substitutions, the resulting heat-equation form, and a transformed…
This note compares three structured foreign-exchange derivatives: snowball, knock-in knock-out (KIKO), and target redemption forward (TRF). It describes shared features, including periodic settlements and limited potential gains paired with potentially large…
The discussion clarifies how to calculate the floating and fixed cash flows on an overnight indexed swap. The fixed leg is generally a simple interest amount under the applicable day-count convention, rather than a compounded notional repayment. For the…
The discussion asks whether EU Emissions Trading System allowance prices can be projected from spot prices using a single discount rate or another market-implied method. The responses point to policy risk as a reason forward prices may sit below expectations…
The document identifies a stochastic volatility specification in which the asset follows geometric Brownian motion while volatility is the exponential of an Ornstein–Uhlenbeck process. The log volatility mean-reverts, and its driving Brownian motion may be…
The document considers a portfolio formed from several contingent claims whose prices depend on one underlying asset. It explains why differentiating the portfolio value as a weighted sum can be misleading: the weights may change over time, but the…
The document distinguishes the mechanical effect of interest rates on a stock forward price from the broader economic effect of rates on the underlying share price. Under a no-arbitrage carry argument for a non-dividend-paying stock, the forward price is the…
The document explains how the stochastic discount factor prices a payoff through its expected value and its covariance with that payoff. When covariance is zero, the payoff has no exposure to the priced source of risk represented by the discount factor. Its…
The document explains when a cross-currency swap can be viewed as two interest rate swap legs. For a typical physically delivered fixed-for-fixed or fixed-for-floating structure, each currency has its own interest cash flows, and principal exchanges must…