คลังความรู้

The discussion examines limits of Sharpe-style returns-based analysis when fund exposures shift, especially for long-short strategies or data at daily and finer frequencies. Suggested alternatives include Lasso to shrink factor coefficients, Bayesian…

The document asks how to infer shorter-maturity annualized spot rates from a sparse set of observed term-structure points. It gives three observations at maturities of three, six, and nine months, then asks for rates at two and four months and whether a…

The document clarifies the notation u∧t that appears in a covariance integral while deriving the Vasicek model. It means the minimum of the two arguments: for example, when s is earlier than t, s∧t equals s. This is the same minimum-time structure used in…

The document explains how covariance between two currency-rate returns can be inferred when a third rate is related to them through a currency triangle. In log terms, the cross rate is represented as the sum or difference of the two component rates,…

The document explains why a simple unilateral credit valuation adjustment for an option must combine the option’s future value with the counterparty’s probability of default. The suggested discretized calculation averages discounted expected exposure at…

The document addresses how to test whether two indicators help explain a time series of returns when the indicators may be autocorrelated or nonstationary and a VAR analysis has not produced significant results. Its proposed starting point is a linear…

The document responds to a request for credible examples of machine learning in quantitative finance. It emphasizes that machine learning methods are general-purpose tools that can be applied to financial, economic, or other data, while noting that many…

The document asks why markets appear to respect Fibonacci retracement levels and connects that question to broader beliefs about market cycles and the possibility of a recession after a long advance. It gives no data, testing method, or examples showing that…

The document discusses hedging a known future expense of 2,500 USD when the home currency is euros. Using the stated spot and six-month forward rates, the answer calculates the euro amount fixed by the forward contract: dividing the dollar expense by the…

The document compares White’s Reality Check with the Benjamini-Hochberg-Yekutieli procedure for screening a large set of backtested strategies against a benchmark. It describes the Reality Check as accounting for dependence among test statistics through…

The document clarifies how a volatility surface indexed by moneyness can remain consistent with put-call parity. Although the question assumes calls and puts use opposite moneyness ratios, the answer explains that moneyness is generally defined the same way…

The document presents the Gordon growth model for valuing a dividend-paying stock, with growth derived from return on equity and the retention ratio. It asks how to update intrinsic value day by day when the last annual dividend was paid the previous day.…

The document lists a small set of quantitative trading competitions in response to a Singapore-based participant seeking opportunities beyond the International Quant Championship and SMU Alphathon. It mentions a stock-prediction model competition run by XTX…

The document describes diagnosing weak convergence in Monte Carlo simulations of an option-pricing model with state-dependent volatility. The original comparison estimates expectations at two time-step sizes, but uses independent simulated paths. Sampling…

The document asks how to scale returns calculated from hourly bars to create volatility-adjusted features at longer horizons, including several-hour and calendar-period returns. It specifically considers whether a multi-hour return should be divided by…

The document asks how to test whether a proposed predictor forecasts weekly stock market returns when observations are formed from overlapping daily windows. Because adjacent weekly returns share days, their errors may be correlated, so a test designed for a…

The document considers a physically settled crop futures contract when the farmer cannot deliver after a natural disaster destroys the crop. The answer explains that the contract remains in force and that failure to deliver can constitute default,…

The document explains that standard open, high, low, and close bars are constructed from transaction prices. Best bid and ask quotes, quote sizes, and aggregate volume or book-size fields do not provide the actual sequence of trades needed for true OHLC…

The document examines whether compounding normally distributed values can produce leptokurtic outcomes. It models the compounded result as a product of independent, identically distributed normal variables and gives expressions for its mean, variance, and…

This note explains an approximate way to translate the spread on a USD-denominated bond into an equivalent spread over a euro reference rate. It considers a euro issuer that borrows in dollars and uses the SOFR–ESTR cross-currency basis to express the USD…

P&L leakage is a small, recurring loss that may be hard to notice in daily results but accumulates into a material drag over time. The note places the concept in hedging and trading, where a reported or expected profit can omit costs and risks that are…

This note addresses a Python type error when calculating a bond’s z-spread with QuantLib. The example passes a RelinkableYieldTermStructureHandle into BondFunctions.zSpread, but the available overloads expect a yield-curve object, producing an argument-type…

The document explains why futures open interest can be an odd number even though every open contract has both a long and a short. Open interest counts contracts, not the two sides separately, so its value does not need to be even. When both parties open…

The document addresses how a reader with undergraduate probability and statistics can approach an empirical currency risk paper that uses asset pricing concepts such as stochastic discount factors, linear beta pricing, and efficient portfolios. The response…