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 gives brief definitions of two terms encountered in derivatives pricing and volatility smile fitting. “Pillars” generally refers to maturities or expiry dates used as reference points, a usage associated with fixed income. A pricing or…
The document asks how the upfront amount for a credit default swap is determined and why the cash exchanged at settlement differs from the quoted principal amount. The questioner understands the principal as the difference between the present values of the…
The document explains why structured-product dealers may sell dividend exposure when equity markets fall. Products such as autocallable notes can leave dealers holding long-dated downside options or other exposures whose value and expected duration change…
The document examines why vega may give a misleading picture of volatility risk for options whose gamma changes sign, using a binary option as its example. Under Black–Scholes, it differentiates the discounted probability-based binary price with respect to…
The document examines a one-factor Hull–White short-rate simulation and explains why a one-year time step can produce poor paths. Euler–Maruyama approximates the drift over a step of length h and scales the random shock by the square root of h; the presented…
The document asks how to choose a drift for simulating trading volume when pricing an option whose payoff depends on volume. The proposed model treats volume as geometric Brownian motion, and the author recognizes that option pricing calls for risk-neutral…
The discussion points readers seeking variance and volatility swap strategies toward sell-side research and foundational papers. It frames relative-value trading as comparing implied variance across markets using historical relationships: buy the market that…
The document asks whether a quanto put can have a nonzero foreign-exchange delta, despite the common impression that quanto options are insensitive to FX. The question describes a case where the put’s calculated FX delta is positive and attributes this…
The document addresses how to calculate the kurtosis of a straddle payoff formed by combining call and put outcomes. The response corrects an attempted combination rule: even if cross co-kurtosis terms are assumed to vanish, the weighted sum of the…
The document explains why an instantaneous forward rate is generally not the ordinary risk-neutral expectation of a future short rate when rates are stochastic. It corrects a derivation that differentiates the expected discount factor as though the result…
The document answers a request for accessible study resources on Monte Carlo simulation for pricing derivatives at roughly master’s level. It names a course text associated with a master’s degree and recommends Paul Glasserman’s book as another source on…
The document explains how volatility inputs differ when an option expires before its underlying commodity forward settles. It distinguishes options on different forward contracts: a quote for a two-month option on a two-month contract should not…
The document discusses discretizing a Merton-style jump-diffusion process for simulation. Rather than applying a basic Euler step directly to the asset price, the accepted answer works with log price. Each interval adds the drift adjusted for diffusion, a…
The document explains why the time decay of a European call differs by time to maturity and moneyness in the Black–Scholes model. With substantial time remaining, the passage of a day generally changes exercise likelihood only modestly, so theta is…
The document asks whether a trader can sell an instrument other than an option to collect premium and fund a long equity call, while avoiding options tied to the same or a correlated underlying. The answer explains that options generally provide time…
The document asks why the instantaneous volatility of a simply compounded forward rate is defined through the quadratic variation of its logarithm rather than the rate itself. The response interprets this as percentage volatility: changes in the log of a…
The document explains how to distinguish a DV01 hedge ratio from a ratio based on quoted price ticks for Bobl and Euribor futures. DV01 measures the cash change in a contract’s value for a one-basis-point rate move, so dividing the contracts’ DV01s gives a…
The document explains why a fixed-maturity zero-coupon bond is not locally risk-free even when its promised cash flow is known. In a one-factor short-rate model, the money account earns the prevailing short rate through continuous rollover, while a term…
The accepted answer explains “flow” interest rate trading as trading in standardized, liquid products that are relatively easy to value and trade frequently. Examples span sovereign and corporate bonds, overnight index swaps, interest rate swaps, caps,…
The document asks how implied correlation is calculated for collateralized debt obligation tranches under a Gaussian copula framework. It proposes first calibrating a common default probability across the portfolio, then fitting a correlation parameter to…
The answer explains how a delayed swap payment should be handled when a payment date shifts because of the calendar. If the final floating accrual period is extended by two days, the floating rate and interest payment should reflect the added accrual under…
The response proposes using programming and financial data skills to study market risk through equity index options. It describes an approach associated with Ian Martin: use prices from a small portfolio of European options on the S&P 500 to infer the…
The document discusses how to reproduce Excel's bond YIELD calculation with QuantLib. QuantLib's bond yield method takes a target price, day-count convention, compounding convention, and coupon frequency, while settlement, maturity, coupon schedule,…
The document poses an identity for three equivalent probability measures and a sub-sigma-algebra: the density of one measure relative to another, restricted to the smaller information set, factors through a third measure. This kind of relationship is useful…