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Dokumentumok száma: 20,364
The document presents a CAPM multiple choice problem asking for the beta of an equally weighted portfolio. It supplies the market volatility, each stock’s volatility, and the portfolio volatility, then considers decomposing each stock’s variance into market…
The document addresses how to obtain daily bond total returns in Bloomberg, where total return includes price movement and coupon income. It notes that the equity field used as an example has no direct bond counterpart in the described workflow. The…
The document asks how to price a European payoff equal to the positive part of the difference between two risky assets in a constant coefficient Black–Scholes market. It starts from ordinary risk neutral valuation and considers expressing the payoff using…
The document raises a fixed income valuation question about replacing term IBOR benchmarks with overnight rates derived from collateralized transactions. It points out that overnight benchmarks provide a single rate, while the former IBOR settings included…
The document explores modifying a depth-weighted midpoint so that distant quotes with little chance of execution contribute less. The proposed approach is to weight bid and ask levels by the probability that prices reach those levels, estimated from…
The document explains why short-term bond yields can rise even when investors shift toward shorter maturities. Its answers describe the short end of the yield curve as closely linked to central bank policy: rate increases and expectations of future increases…
The document checks a logarithmic identity appearing in a solution to a random-walk problem. The stated probabilities satisfy q = 1 − p, with p below one half, so the expression under the square root becomes the square of 1 − 2p. Because this quantity is…
The question considers pricing a call on a foreign equity whose domestic-currency value is defined as the foreign share price multiplied by the exchange rate raised to a fractional power. It asks whether the drift obtained by applying Itô’s lemma under the…
The document sets up a credit-loss example in which each loan defaults independently with a stated one-year Bernoulli probability. It models the number of defaults across a portfolio with a binomial distribution and expresses an upper-tail quantile condition…
The document describes calibrating a Heston stochastic volatility model to market prices by minimizing weighted squared pricing errors with a Levenberg–Marquardt optimizer. It lists the model parameters and their natural constraints: correlation must lie…
The document compares two ways to relate an outcome to predictors. A parametric approach specifies a functional form, such as a linear model, and studies whether an estimator recovers its parameters under suitable error assumptions. A second approach avoids…
The document raises a fixed-income curve-construction question: whether zero-coupon bonds priced above par should be excluded when building a zero-coupon curve. It notes that textbook bootstrapping examples often use below-par bonds, which can make above-par…
This explanation gives an intuitive account of why a longer-dated option can have greater sensitivity to implied volatility than a short-dated option. It compares two far out-of-the-money calls with the same strike and underlying price, one expiring the next…
This question asks whether otherwise identical derivative payoffs should have the same value when paid in different currencies, given a fixed USD SOFR collateral agreement. It compares a fixed sterling payment with payments converted at the future GBP/USD or…
This exchange concerns a statistic used in a model of imperfect competition among informed traders. The model assumes normally distributed asset value and signals, with symmetry across traders, and represents the conditional expected liquidation value as the…
This brief exchange asks which discount curves market participants use to value FX forwards under collateralized and uncollateralized arrangements. The response points readers to research on collateral currency choice, multiple swap curves, and…
The document distinguishes how to combine monthly returns over a multi-period horizon. For arithmetic returns, each period’s gross return is chained multiplicatively, then one is subtracted to express the result as a cumulative percentage return. Simply…
The document explains how to inspect the scheduled cash flows of a bond created in QuantLib. Iterating through the bond’s cash-flow objects exposes each payment date and amount, making coupon payments and principal redemption visible. For fixed-rate coupons,…
The document addresses two inputs needed when calibrating a swaption model with QuantLib: the volatility convention and the interest-rate term structure. It notes that QuantLib’s cited calibration example expects Black, or lognormal, volatilities by default,…
The document describes a liquidity-risk measure for a long-only equity portfolio: estimate how many days it would take to sell each holding. Under ordinary conditions, the measure can use average daily volume and an assumed participation rate. To represent…
The document asks whether Dupire’s formula can be understood through the same replicating-portfolio framework used to explain Black–Scholes. The answer distinguishes the purpose of the two frameworks: Dupire’s formula is presented as a calibration…
A one-year-forward 2-year versus 5-year Treasury steepener can be built from bonds with settlement in one year or expressed through forward-starting interest rate swaps. For bonds, the examples construct forward exposures by combining securities that mature…
This exchange addresses a reported annualized tracking error between Vanguard’s BND bond ETF and the Bloomberg U.S. Aggregate index over a ten-year monthly-return sample. The question treats the measured difference as evidence that passive bond investing may…
This document presents a Monte Carlo approach to pricing an up-and-out call option. It simulates geometric Brownian motion paths from an initial stock price, computes each path’s maximum, and discounts the terminal call payoff only for paths that stay below…