নলেজ লাইব্রেরি

The document discusses quality checks for daily stock records containing open, high, low, close, adjusted close, and volume. Beyond basic consistency rules—such as checking whether the close or open falls outside the daily high-low range—it recommends…

The document explains a practical simplification for applying the Merton structural credit model across companies with varied debt schedules. In the basic model, equity is treated as a call option on firm value, with total debt represented by a face value…

The document collects public claims and opinions about Renaissance Technologies’ Medallion fund rather than establishing a definitive account of its trading strategy. Suggested techniques include algorithmic trading, information theory, hidden Markov models,…

The document distinguishes valuing a floating-rate note from estimating its expected coupon cash flows. For valuation under a single-curve framework, one can derive forward rates from the yield curve, use them to estimate future coupons, and discount those…

The document addresses how to construct a zero-coupon Treasury curve when a cash-flow matrix has more coupon-date columns than bond-price rows. One proposed approach is to select a maturity-spaced set of securities, then create hypothetical bonds from nearby…

The document describes a research need for reliable Heston option prices, especially for options far out of the money. The author reports that numerical instability in a current implementation produces slightly negative or oscillating prices, which then…

The document explains how to estimate EUR/USD forward rates from spot and interest rates using covered interest rate parity (CIP). Rates must match the forward’s maturity: an overnight rate is not a substitute for a one-year rate, and the calculation needs…

The document asks what “global” means in the term global minimum-variance portfolio and how it differs from a minimum-variance portfolio. The accepted answer distinguishes the unconstrained search across all possible return levels from the common…

The document asks whether monthly returns on a ten-year government bond can stand in for a monthly risk-free return, assuming sovereign default risk is ignored. The answers largely reject that proxy, emphasizing the mismatch between a long-maturity bond…

The document describes a proposed research approach: define learning environments from market microstructure models with known solutions, then use reinforcement learning to see whether agents recover features of those equilibria. As an initial example, the…

The document introduces a reduced-form credit bond model in which default is represented as the first jump of a Poisson process and the hazard rate is stochastic. It writes a differential expansion for bond price as a function of time, hazard rate, and the…

The document describes how a delta-hedged option position can generate gains or losses as the underlying moves. Rebalancing the hedge offsets the option’s first-order price sensitivity, while the remaining daily change is approximated by a gamma term linked…

The Fama–MacBeth procedure first estimates each asset’s factor exposures with time-series regressions, then runs cross-sectional regressions at each date using those exposures to explain returns. The second-stage gamma coefficients estimate time-varying…

The document explains how to calculate the probability that a life survives across multiple years using annual mortality-table probabilities. If q at age x is the probability of dying before the next birthday, then p at that age is its complement, the…

Black–Litterman needs equilibrium weights for a market portfolio to infer implied returns. When the investment universe contains a mix of assets such as stocks and bonds, market capitalizations may be unavailable or hard to compare, so the document…

The document discusses hedging exposure to oil prices with forward contracts and asks whether one contract per asset is automatically the right hedge. The responses emphasize that the appropriate ratio depends on the objective and on how well the forward…

The document contrasts local volatility models, where price diffusion is driven by a volatility function of price and time, with stochastic volatility models that add a random volatility state coupled to the price process. It asks whether a local volatility…

The document explains how implied volatility affects option value across moneyness in the Black–Scholes framework. Put–call parity links a deep in-the-money call to an out-of-the-money put, so their volatility sensitivities are qualitatively symmetric. This…

The document investigates why two R packages produce different values for an American call using the Barone-Adesi–Whaley approximation. The answers identify two interface issues: one function takes spot before strike while another expects strike before spot…

The document addresses two conceptual gaps in a Black-Scholes derivation: why the hedge removes risk and why the hedged portfolio must grow at the risk-free rate. It explains that choosing the stock position to match the option’s delta cancels the…

The document asks where to obtain free dividend history for companies listed outside the United States. It points to Yahoo Finance as a source, with examples from Germany, Switzerland, France, and Spain. Historical dividend events can be retrieved as CSV,…

The document explains why dynamically hedging an option’s delta does not generally turn the position into a risk-free bond equivalent. Delta hedging reduces exposure to small directional moves, but leaves volatility exposures, including gamma and vega, as…

The document discusses how to represent brokerage fees, bid-ask effects, and slippage when simulating daily stock trades without quote data. It argues that a single relative transaction-cost rate cannot be assumed realistic across all situations: costs vary…

The document explains how to calculate variance for a portfolio that is long one stock, short another, and holds the remaining capital in cash. Its example uses weights of 1.0 in stock A and -0.5 in stock B, with cash completing the total portfolio weight.…