নলেজ লাইব্রেরি

The document explains how to estimate one-day Value at Risk for a single-asset portfolio when its delta, the asset value, and daily volatility are given. It interprets delta as the portfolio’s sensitivity to a small percentage move in the underlying, then…

The document sketches why a market with stochastic volatility may be incomplete when volatility risk is driven by an independent source of randomness that cannot be traded directly. In a one-stock setting, changing the risk premium associated with the…

The document investigates a Python QuantLib TypeError raised while constructing Heston model calibration helpers for options. The replies point to mismatched input types or values as the likely cause and identify code issues to check, including an…

The document asks why a process formed by keeping Brownian motion unchanged up to a stopping time and reflecting its later path around its value at that time is itself standard Brownian motion. The response uses the strong Markov property: after a finite…

The document proposes choosing a retail time-deposit term by calculating the net present value of deposits with different maturities and converting each value into an equivalent constant annual payment over its term. It selects the term with the highest…

The document discusses estimating the liquidity parameters in the Avellaneda–Stoikov market-making model from historical limit-order data. The model describes fill intensity at a quote distance from fair value using a baseline intensity A and a distance…

The document examines whether the time integral of Brownian motion over [0,T] can be obtained by scaling the integral over [0,1]. A change of variables gives an expression involving the process at times sT, but Brownian scaling does not make those values…

The response distinguishes two interpretations of a share purchase plan in which the bank can terminate during the purchase period. If the customer’s price is the average only through the termination date, the answer argues that termination does not create…

The document explains why a Black–Scholes option price is not the discounted expected payoff under real-world probabilities. That calculation uses the stock’s physical drift, which reflects expected returns, but ignores how traded assets and hedging…

Corporate bond yields combine a Treasury-related risk-free component with a credit and liquidity spread. The relative size of these components helps explain why investment-grade bonds tend to move more closely with comparable-maturity Treasury yields, while…

The document asks what drives the price of a bond futures calendar spread when both contracts share the same deliverable basket and cheapest-to-deliver bond. The accepted answer identifies the forward repo rate implied by term repo rates extending to each…

The document asks where to obtain inexpensive historical tick data for a futures contract, using NYMEX WTI crude as an example. Its answer explains that data price often reflects whether the feed preserves all reported activity or filters some events. A…

The document asks how an expected shock to one asset should affect the weights of other holdings, and whether portfolio substitutability can explain those changes. It proposes that assets with more similar characteristics might receive more of the…

The document asks why a leverage or volatility-scaling factor changes the turnover ratio of a momentum portfolio, citing the approach associated with Barroso and Santa-Clara. It distinguishes the intuitive idea of multiplying portfolio exposures by a scale…

The document addresses how to account for upcoming corporate actions when implementing a long-short equity statistical arbitrage strategy using a Bloomberg data license. The strategy holds positions across many stocks, and the author asks how to find events…

The document clarifies how SVI parameterizations describe implied volatility data. Raw and natural SVI parameterizations represent total implied variance across strikes for a single expiry, while SVI-Jump-Wings represents implied variance for a single…

The document explains why binary option quotes that appear inconsistent with a simple Black–Scholes volatility range may still be reasonable. It gives the digital call price in terms of the forward price, strike, time to expiry, rates, and volatility, then…

The document describes a bond discount-curve fitting error in QuantLib. The questioner supplies bond maturities and coupon rates alongside market prices, then constructs fixed-rate bond helpers for a Nelson–Siegel fitted discount curve. The reported…

The document examines a terminal payoff formed by taking the positive part of the stock’s gain over its current price, subtracting a fixed notional, and capping the result at zero. It asks how to price this payoff under risk-neutral valuation, while noting…

The document asks why reported short-sale volume from venues such as NYSE, Nasdaq, and BATS can appear much larger than published short interest. It raises questions about differences in venue coverage and whether transactions connected to securities…

The document considers whether large traders can manipulate e-mini futures and whether that possibility makes systematic trading impractical. Its answers distinguish ordinary market impact from deliberate manipulation: large buy orders can push prices up,…

The document explains why futures are commonly quoted by their settlement or delivery price rather than by the contract’s present value. It places this convention alongside other market practices, such as quoting bonds by yield and options by implied…

The document considers how to adjust a fitted vanilla-option implied volatility surface to represent a lower-volatility market or an abrupt volatility shock. It cautions that blindly adding a constant to implied volatility or multiplying it by a scale factor…

The document explains how investment banks’ charges for derivatives relate to market competition and the transparency of pricing. It frames the added cost as a wider bid–ask spread rather than necessarily as a separate fee on top of a theoretical…