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 compares two ways to express a foreign exchange carry trade. In the funded version, an investor borrows in a lower-rate currency and invests in a higher-rate currency; the resulting return reflects both the exchange-rate move and the difference…
A Bermudan option can be exercised on several specified dates. Its value is not generally the highest value among European options with matching individual exercise dates. Taking that maximum amounts to choosing a single exercise date at the outset and…
The document addresses unstable Heston model calibration: very large mean-reversion and volatility-of-volatility parameters can fit a volatility surface well even when the values lack a plausible market interpretation. It notes that stochastic-volatility…
The document explains how to read implied volatility quotes for a one-year-into-five-year SOFR swaption under Bachelier and Black conventions. In the normal model, a quoted volatility of 136 corresponds to a one-year standard deviation of about 1.36…
This document discusses which price series should be used to estimate volatility for the Black model and whether volatility needs to be annualized. The responses emphasize matching the volatility estimate to the instrument used for hedging: a hedge based on…
The document examines the Greeks of a forward variance swap built from two spot-starting variance swaps. It questions how the position can have approximately zero dollar gamma and declining vega while still carrying theta. The response distinguishes model…
This document frames a pricing problem for defaultable bonds when default intensity is stochastic and correlated with the risk-free interest rate. The proposed setup uses a two-factor Gaussian model, with one factor for rates and one for default intensity,…
The document examines how to interpret annual effective-rate discounting when the cash-flow horizon is a fraction of a year. It starts from the present-value relation that divides a future value by one plus the annual rate raised to the time in years. The…
The document asks how to represent two standard Wiener processes with instantaneous correlation ρ using one process and an independent Wiener process. It proposes defining the independent candidate by subtracting the correlated component of one process from…
The volatility smile records how market implied volatility varies across option strikes. The document explains that reproducing this pattern is a practical test of an option model: the smile is a widespread market feature, observed across asset classes, and…
Potential future exposure (PFE) measures the possible future value of a derivatives position that could be lost if a counterparty defaults. The document addresses why high positive exposure is considered adverse: a profitable position means the counterparty…
The document introduces resources for finding R packages used in quantitative finance, naming the CRAN Finance task view and packages such as FinancialInstrument, RTAQ, blotter, and quantstrat. It poses practical questions about package choice, alternatives,…
The document discusses ways to improve finite difference methods for solving the Black-Scholes equation, with attention to accuracy, speed, and stability. Its main recommendation is to transform the equation into the heat equation, which has simpler…
The document considers why a leveraged fund might hold a cash bond to obtain interest-rate exposure when an OIS swap could provide similar sensitivity. It does not identify a universal pricing advantage when the instruments are fairly priced. Instead, the…
The document describes a Monte Carlo implementation of the Heston stochastic-volatility model, using an exponential stock-price step and an Andersen moment-matching update for variance. The author observes that simulated variance trends downward when…
The document reports a numerical comparison between an adjusted Kirk approximation and the Bjerksund–Stensland spread option model. The author implements both formulas, adds a weight for the second spread leg, and includes call and put calculations. Across…
The response challenges the idea that a total return swap without a formal early-termination clause should be valued by projecting its cash flows to maturity. It separates the swap into an underlying instrument leg and a financing leg. For a dealer holding…
The document poses three questions about pricing an American contingent claim (ACC): how to decompose its discounted fair value, why the matching European claim should not be worth more, and when the two prices coincide. The supplied partial argument…
The discussion compares pricing approaches for forward-looking LIBOR-style caplets and backward-looking caplets based on compounded overnight rates such as SOFR. It describes using Hagan implied-volatility approximations with SABR parameters, then adjusting…
The document clarifies that risk-neutral valuation applies to European-style derivatives whose maturity payoff is measurable and integrable, whether that payoff depends only on the terminal asset price or on the path taken. With constant interest rates, the…
The document explains why an option’s realized gamma PnL depends on the actual movement of the underlying, while the implied volatility used to price and mark the option is a model input. Under a fixed-volatility model, an Ito expansion attributes changes in…
The document asks how to compare a forecast of three-month carry and rolldown on a five-year interest rate swap with the swap’s realized return. It cites a decomposition into the return from changes in market value, the effect of the curve point rolling to a…
The document compares over-the-counter FX forwards with exchange-traded futures, explaining why customers and banks may use the OTC market. Forwards can be tailored to a customer’s currency, amount, and delivery date, while listed futures use standardized…
The document compares Bloomberg and Reuters as market data sources for a firm considering consolidation of feeds used for derivatives and bonds. It covers pricing, infrastructure, data quality, instrument identifiers, and alternative vendors. The response…