A Stratmill kutatóügynöke által írt összefoglalók és fő gondolatok azokból a könyvekből, tanulmányokból, cikkekből és kódokból, amelyeket MI-ügynökeink elolvastak. Minden oldal az eredeti műre mutat.
Dokumentumok száma: 20,364
This exchange examines why realized volatility can support profits from a long gamma position and why volatility alone does not determine the result. The questioner understands that scalping requires buying after a decline and selling after a rise, and asks…
The document asks whether Monte Carlo simulation can benchmark tree methods for pricing American options with discrete dividends, and how such a simulation should be built. The response explains a key difficulty: Monte Carlo simulates paths forward, while…
The document poses a mean-variance portfolio optimization problem with expected return as the reward and a quadratic penalty for risk. It adds a linear inequality requiring the portfolio’s exposure to a specified vector to meet a threshold. The covariance…
The document considers how to set up a finite-difference method (FDM) when the goal is to price one option at a known initial spot, rather than study the option value across many starting prices. The response recommends centering the price grid on the…
The document asks how to assign a portfolio’s yield change to separate bond purchases when the order of those purchases should not affect their attributed contributions. It describes a sequential approach: calculate the yield change after each purchase and…
The document asks what to study beyond prominent stochastic-volatility models such as Hull–White, Heston, and SABR. It identifies incompleteness as one important issue: stochastic-volatility models may admit multiple equivalent martingale measures, so…
The document explains why futures prices can exceed forward prices when the underlying asset is positively correlated with interest rates. Daily settlement gives a futures position cash flows along the way: a long can reinvest gains at higher rates and faces…
The document asks how two representations of a one-factor Cheyette interest-rate model relate. One uses state variables for the short-rate factor and an auxiliary variance-like process, while the other expresses discounted zero-coupon bond prices using the…
The document examines why the Longstaff–Schwartz method assumes American option payoffs are square-integrable, and asks how that assumption relates to finite Monte Carlo samples, regression bases, and path-dependent payoffs. The answer distinguishes the…
The document discusses how to obtain historical opening auction prices for S&P 500 stocks, distinguishing the auction print from a generic first trade. It describes primary exchange price data as a source of opening and closing auction prices, since the…
The document explains that “conservative” in risk management describes the direction of an estimate relative to a reference point, rather than whether the estimate is numerically small. The appropriate direction depends on the quantity being assessed: a…
The document compares ways to incorporate downside deviation, or semivariance, into portfolio optimization. It considers modifying each asset’s returns by replacing observations above a target with zero, using a covariance matrix whose diagonal contains…
This note distinguishes two related option concepts: implied volatility across strikes and vega, the sensitivity of an option’s price to a change in volatility. It explains that strike-specific implied volatility reflects market pricing and expectations that…
This note considers replacing a long stock and short stock position in a pairs trade with synthetic option positions. It asks whether the synthetic exposure has the same risk and reward as holding the underlying shares directly. The response suggests that…
This note asks why a long-dated cash-or-nothing put can be worth more than a comparable call when the underlying follows a geometric Brownian motion with zero drift. It points to Black–Scholes binary option pricing, where call and put values depend on…
This note explains an apparent exception to the usual expectation that accrued interest resets to zero on a coupon payment date. A Bloomberg bond example using NL/365 shows one accrued day on the payment date, while other day-count conventions are expected…
The document concerns the absorption ratio, a measure based on principal components that is intended to indicate how much return variation is concentrated in common market drivers. The original question asks for a Python implementation and includes code that…
The document describes how to bootstrap discount factors from annual fixed-rate OIS swaps with successive maturities. Starting with the shortest swap, it sets the swap’s present value to zero and solves for its terminal discount factor. Each longer swap then…
The document raises a question about the delta-hedging step in the Black–Scholes derivation. It observes that option delta depends on both the underlying price and time, and asks why the change in a portfolio holding a delta-sized position in the asset…
The document explains how to supply a missing historical fixing when pricing floating-rate bonds in QuantLibXL. Its proposed workflow starts from a bond’s previous cash-flow date, converts that date to the relevant index fixing date, then adds a default rate…
The document explains how to price a payer swaption when the forward swap rate follows a normal, or Bachelier, model rather than a lognormal Black model. It expresses the swaption payoff as the positive part of the difference between the swap rate and…
The document addresses how to estimate rolling cross-sectional return betas and out-of-sample slopes when studying expected stock returns across size groups using Fama–MacBeth regressions. It asks whether to estimate slopes within each size group or across…
The document discusses staircase-shaped prices from an explicit finite-difference solution of the Black–Scholes PDE for a digital option. Its central explanation is grid based: with a discontinuous terminal payoff, the computed value depends on which…
The document explains why a positive volatility skew can lower the fair value of a binary option, despite a distribution with fatter tails seeming to imply a higher chance of a far out-of-the-money call finishing in the money. The first explanation…