คลังความรู้

The document considers whether a Euro Stoxx futures contract and matching European call and put options offer an arbitrage when only one of each contract may be traded. It introduces put-call parity and rearranges it to compare the call-minus-put price with…

The document asks whether a closed-form barrier-option model for a dividend-paying stock can be adapted to FX and commodity futures. Under Black–Scholes assumptions, it describes forward dynamics with zero drift, so the spot-model input can be repurposed by…

The document presents a mathematical way to screen stock pairs before computing every pairwise correlation. For three variables, their correlation matrix must be positive semidefinite, meaning its eigenvalues cannot be negative. That constraint links the…

The document explains why a QuantLib Gaussian one-factor swaption engine rejects a Vasicek model: the engine expects a model derived from Gaussian1dModel, while Vasicek does not meet that interface. The accepted answer shows using a GSR model instead,…

The document poses a portfolio-replication problem for a derivative whose terminal payoff is the time average of an underlying asset's price over the contract period, less a fixed strike. It assumes continuously sampled prices and a zero interest rate, then…

A total return swap is an over-the-counter contract, so whether it can be terminated early depends on the negotiated termsheet. Some agreements provide break rights and others lock the parties in until maturity. The responses describe dealer-to-dealer trades…

The document explains that the VIX Flip indicator can be approximated with Williams VIX Fix, a synthetic volatility measure calculated from the highest close over a recent window and the current period's low. The reported formula expresses the gap between…

The document asks whether EGARCH volatility forecasts are biased and seeks a published academic source supporting that claim. It identifies a preprint on bias correction for EGARCH estimators and a published study of finite-sample properties of EGARCH…

The document formulates the value of a portfolio that keeps equal weights in a set of stocks through continuous trading. For two stocks, it represents portfolio value as a function of their share prices and proposes partial-derivative conditions: each price…

The document demonstrates a fundamental valuation calculation for a pharmaceutical company using expected net income, book equity, a cost of equity, and long-run growth. It first subtracts interest expense from EBIT and applies the corporate tax rate to…

The document compares possible exchange responses when a market order reaches an order book with too little or no opposing liquidity. It distinguishes whether an unfilled remainder stays active, is canceled, or is handled through another venue-specific rule,…

The document describes an attempt to check the optimal consumption and investment policy in Merton’s portfolio problem by simulating wealth paths and comparing average terminal utility with an analytical value function. It gives a discretized wealth update,…

The document asks for current interest-rate modeling references that address the cessation of IBOR benchmarks, noting that established texts may predate the transition. The answer does not recommend a textbook; instead, it points to the generalized Forward…

The document examines how the S&P CoreLogic Case-Shiller Home Price Index is constructed and why its official repeat-sales methodology may differ from simplified tutorials. The discussion distinguishes the Bailey–Muth–Nourse approach, which models log price…

The document presents standard matrix formulas for the global minimum variance and tangency portfolios, including their expected returns, volatilities, and weights. The question concerns a portfolio built from daily Dow Jones stock returns: its tangency…

The document sets up two Black–Scholes call-pricing equations for options on the same stock with different strikes and a shared maturity. It uses the observed option prices to form a nonlinear system in the continuously compounded interest rate and…

The document offers a basic way to find newer research on CAPM, the Fama–French three-factor model, and related asset-pricing topics. It recommends using a seminal paper on the cross-section of expected stock returns as a starting point, then reviewing…

The document presents a framework for funding valuation adjustment when derivative value and received collateral differ. In a modified Black–Scholes setting, collateral can be rehypothecated and earns a collateral rate, while unsecured funding costs more.…

The document raises a question about how to express a zero-coupon bond’s price at a future time when only earlier information is available. It gives the affine Vasicek pricing form, in which the bond price at a given time depends on the short rate at that…

The document explains how to interpret Eurodollar futures prices as implied forward rates and use them to build a sequence of zero-coupon rates and discount factors. Its central step is to convert each quoted futures price into a rate by subtracting the…

The document asks how to classify a strategy that goes long in the cheaper of two markets and short in the more expensive one after their prices diverge beyond a threshold. The assets are described as fungible, but the strategy does not move them between…

The document raises a derivatives-pricing question about VXTY futures, whose contract specification references options on ten-year Treasury futures. The author distinguishes option selling, which involves receiving an option premium, from entering a futures…

The document explains the zero-intercept implication in a factor asset-pricing model. It presents the Fama-French regression, where an asset’s excess return is decomposed into exposures to market, size, and value factors, an intercept, and a residual. The…

The document examines why adding a gross-exposure constraint to a return-maximizing, risk-constrained portfolio can produce weights concentrated in a few assets. It describes a mean-variance setup that maximizes expected return subject to a covariance-based…