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The document diagnoses why a Monte Carlo estimate of a European call price differs sharply from its Black–Scholes value. In the simulation, the stock paths use a drift parameter called mu, while the Black–Scholes calculation prices the option using the…
The document discusses whether stochastic-control models built around the Hamilton–Jacobi–Bellman equation have practical value in market making and algorithmic trading. It describes their role as research and teaching tools for reasoning about quote widths,…
The document poses a derivation problem for a European call in a Black–Scholes setting with deterministic, time-varying interest rates, drift, and volatility. It presents the option value as a risk-neutral expectation of the terminal payoff and asks how to…
The document explains how to value a foreign-currency floating-rate coupon in domestic currency using either the foreign or domestic T-forward measure. Under covered interest rate parity, converting the foreign-measure value at spot is equivalent to applying…
The question concerns fitting a GARCH model to daily log returns to estimate stock market volatility. One answer points users to Stata’s built-in GARCH command and its help documentation, but does not provide a detailed step-by-step procedure or discuss…
The document explains a QuantLib schedule issue for a quarterly coupon bond with a long initial stub. A forward schedule anchored to the June stub date of June 30 continues using the 30th for later quarterly dates when end-of-month handling is disabled.…
The document names two possible sources for fundamental data on US public companies. One answer recommends Compustat and notes that university access to the Wharton Research Data Services platform commonly provides access to it. Another respondent says they…
The discussion distinguishes computational limits by workload. For real-time trading, it argues that network throughput is often the constraint, while historical analysis is more commonly limited by memory capacity or bandwidth; ordinary CPU use may not be…
The document describes an apparent inconsistency when reconstructing a Nasdaq order book from ITCH messages. An order is added at one ask price, partially filled through a standard execution message, then its remaining quantity is reported as executed at a…
The document poses a fixed-income trade-sizing problem: construct a flattening position using two-year and ten-year zero-coupon bonds, with a target profit for a specified change in the yield spread. It asks for each leg’s present-value exposure and whether…
The document asks how to estimate an implied volatility at a chosen strike and maturity when only FX forward rates, domestic and foreign zero rates, at-the-money volatility, and 25-delta risk reversal and butterfly quotes are available. It frames the task as…
The document considers whether aspiring quantitative researchers need Bloomberg Terminal and VBA experience, contrasting those tools with programming languages such as Python. The response argues that terminal familiarity is usually learned on the job: a new…
The document discusses choosing block lengths when resampling returns to simulate long investment horizons for portfolio allocation analysis. Its main principle is to choose a length that preserves dependence patterns relevant to the portfolio, including…
The document asks how to calculate daily returns on a forward contract after marking it to market. It gives a present-value expression for the contract, based on the current underlying price, the agreed delivery price, interest rates in both currencies, and…
The document raises a question about option market quoting: a book states that a strangle’s bid-offer spread expressed in volatility terms is usually wider than the at-the-money spread for the same expiry. The proposed explanation is that options struck away…
The document defines vol-vol breakeven as the instantaneous covariation of log implied volatilities for two options. For a local volatility model, when both options are the same contract, it gives a formula relating this quantity to the spot sensitivity of…
The discussion argues that the right graduate education for quantitative finance depends on the work a person wants to do. Financial engineering programs may be especially relevant for valuation and pricing model development, while quantitative trading has…
The document compares the standard CAPM beta, built from physical-measure volatilities and correlations, with a risk-neutral beta that uses option-implied quantities. It describes a paper by Buss and Vilkov that reports the risk-neutral version better…
The document proposes estimating common return factors and asset loadings with a rolling singular value decomposition of volatility-normalized close-to-close returns. It then applies the estimated loadings to other return intervals, such as overnight or…
The question concerns a stochastic wealth equation that appears to produce inconsistent expressions when a portfolio strategy is substituted into it. The answer identifies a distinction between the number of asset shares held and the fraction of wealth…
The discussion explains how market interest rate curves are built from observed instrument prices and why forward rates should not be read as certain predictions of future rates. Curve construction fits a chosen functional form to prices or quotes for…
The discussion surveys places to find quantitative finance papers, including arXiv’s quantitative finance section, SSRN, paper aggregators, practitioner forums, and university author pages. It also recommends following citations from relevant papers and…
The document asks why recession analysis often tracks the difference between 10-year and 2-year yields, rather than pairing the 10-year yield with a shorter rate such as the 3-month or 1-year rate. The answers clarify that the 2-year/10-year pairing is not…
The document explains why a nonzero market price of risk can coexist with positive expected returns on risky investments. If investors were risk neutral, they would focus on expected return and increased demand could push asset prices until expected returns…