The document examines a bond yield-to-horizon calculation for a bond held until maturity. It contrasts a spreadsheet’s quoted 7.83% result with a calculation based on the ratio of horizon value to purchase price, and discusses reinvestment and compounding…
Tudástár
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.
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Dokumentumok száma: 20,364
The document asks how to calculate volatility from three closing prices: 101, 100, and 102. The response treats the changes between consecutive closes as returns and says their standard deviation can serve as a proxy for historical volatility. With three…
The document asks how to choose volatility and interest-rate inputs when pricing American puts with a binomial model and comparing estimates with market prices. The author proposes using the standard deviation of recent log returns for volatility and…
The document summarizes a distinction between local volatility and stochastic volatility models when representing equity option markets. It reports that local volatility can fit observed vanilla option prices but may produce unrealistic forward volatility…
The document raises a fixed-income modeling question about the one-factor Vasicek short-rate model. It asks why adding a negative risk premium to the short rate might prevent inverse yield curves when changing from a risk-neutral measure to a real-world…
The document examines whether an option’s extrinsic value, also called time value, follows a normal or lognormal shape as the underlying price changes. It describes an interpretation of the Black–Scholes call formula using a lognormal distribution of future…
The document outlines how to test the CAPM by comparing asset excess returns with market excess returns through estimated betas. It explains that the Kenneth French data library supplies market returns and a risk-free rate, but generally does not provide…
The document demonstrates how to use Halton low-discrepancy sequences in Monte Carlo option pricing. Uniform sequence values are transformed through the inverse standard normal distribution, then scaled by the drift and volatility of a risk-neutral log-price…
The document addresses how to discount monthly cash flows when the stated annual rate is 10%. Its central distinction is between converting a rate to match a compounding period and discounting payments that arrive at different dates. For an effective annual…
The document compares the apparent cost of commission-free brokerage apps with flat-fee brokers. It explains that a zero commission does not make a trade costless: execution at a less favorable price can create an implicit cost through the bid–ask spread or…
The document explores how to interpret the Radon–Nikodym derivative that converts real-world probabilities into risk-neutral probabilities in a one-step binomial market. In the two possible states, the derivative takes the ratio of risk-neutral to real-world…
The document asks whether Black–Scholes call and put prices are convex as functions of implied volatility. The answers explain that convexity can vary with moneyness rather than holding uniformly. Vega, the derivative of option value with respect to…
The document explains why a callable bond generally has a higher yield to maturity than a comparable noncallable bond. Its price can be viewed as the value of the noncallable bond minus the value of the issuer’s embedded call option. Since that option has…
The document describes pricing a plain vanilla interest rate swap from a discount curve in QuantLib and simulating short-rate paths with the one-factor Hull–White model. It includes a detailed setup for fixed and floating legs, historical index fixings, a…
The document explains how a Vasicek short-rate model changes under a risk-neutral measure and asks which parameters can be estimated from observed bond yields. It rewrites the adjusted drift using risk-neutral parameters, then relates yields to affine bond…
The discussion compares drawdown objectives with minimum variance and expected shortfall in portfolio allocation. It presents several reasons drawdown may be less common: variance is a familiar target, drawdown optimization can be computationally demanding,…
The document presents the risk-neutral Variance Gamma stock model, including its drift adjustment and the time-changed Brownian representation of the log return. It describes sigma as controlling volatility, while nu and theta jointly determine asymmetry and…
The document considers whether statistically simulated price histories can reduce the risk of selecting strategies that merely fit past winners. One reply warns that simulation adds a second assumption: the market model must be credible before a strategy’s…
The document explains that collateralized debt obligations varied in complexity, but their payment structures can be analyzed by reading the governing deal documents. These contracts define cash-flow waterfalls tied to ratings triggers, collateral levels,…
The document examines how to convert a daily Sharpe ratio into an annual figure. It illustrates the issue with a daily mean return and standard deviation, then compares compounding the average return over a year with scaling volatility by the square root of…
The problem asks how to choose a fraction of current wealth to stake each day in an even-money game with a favorable win probability, so as to maximize the chance of reaching a target within a fixed horizon. One answer proposes a target-seeking sequence: bet…
The question asks whether the delta, gamma, vega, rho, and theta of a multi-asset product can be calculated by adding the corresponding Greeks of its underlying assets. The product described pays annual coupons when the performance of an equally weighted…
The question describes applying principal component analysis to many correlated stock features while trying to predict the FTSE 100. It raises confusion about a result suggesting that no components explain 99% of variability, whether additional features such…
The discussion considers whether an investor can hedge an intraday position in a financial-sector fund such as XLF with an inverse leveraged fund such as FAZ. It explains that a nominal three-times inverse exposure could provide a close intraday offset if…