The document raises a methodological question about hybrid approaches to operational risk capital under advanced measurement models. It contrasts three possible interpretations: combining historical internal losses with scenario estimates in a severity…
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Dokumentumok száma: 20,364
The document explains why an increase in a dividend expected before a European call’s expiration generally reduces the call’s value. A dividend payment transfers value from the company to shareholders, so the stock price is expected to fall by the additional…
The document explains the sign convention in the duration approximation for estimating a bond’s price response to a yield change. Under the stated relation, the approximate price change is the negative of bond value times duration times the yield change. A…
The document discusses econometric assumptions and alternatives for applying the Fama–MacBeth procedure to asset returns. Its main methodological point is that the procedure can accommodate cross-sectional correlation among errors, while the cited answer…
The document describes two ways to estimate an option volatility surface for an asset with no listed options, using a more liquid, correlated asset as a reference. A practical rule of thumb maps the reference asset’s at-the-money implied volatility through a…
The note clarifies why a probability measure constructed from a Radon–Nikodym density in Girsanov’s theorem can be equivalent to the original measure, rather than merely absolutely continuous with respect to it. Absolute continuity follows from defining the…
The document considers a European payoff equal to the larger of a linear upside outcome, the underlying price minus a constant, and a linear downside outcome, another constant minus the underlying price. It proposes representing the payoff as a fixed amount…
The document explains why a credit default swap’s mark-to-market value depends on risky annuity, also called risky PV01. A change in the CDS spread is quoted in basis points per year, so the spread difference alone does not express the position’s value in…
The document raises questions about paired-class exchange-traded products VXUP and VXDN, which were designed to provide opposite exposures related to the VIX. The prospectus excerpts describe funds holding cash or short-dated Treasury-related assets, with…
The discussion compares buying weekly deep in-the-money calls and rolling them each expiration with buying a call about a month out. It asks which approach minimizes time value paid per day, assuming implied volatility stays constant. One response suggests…
The document seeks research on how manager reputation, track record, and skill relate to mutual-fund and hedge-fund returns and investor flows. Its answer names two mutual-fund studies on costly investor search and managerial risk-taking incentives. A second…
The document asks how to adapt a payment-delay convexity adjustment used for Libor to daily compounded risk-free rates, with SOFR as the example. It describes a normal-model expression involving a discount factor between the accrual end and payment dates,…
The document considers whether a technical trading rule for cryptocurrency can be assessed with receiver operating characteristic analysis. The proposed labeling marks a buy signal as correct when the underlying asset has a positive return that day and…
The document raises numerical questions about solving the Cox–Ingersoll–Ross short-rate model’s bond-pricing PDE with an implicit finite-difference scheme. It asks how to set a boundary at a large maximum rate, whether the grid point at zero requires a…
The document compares two ways to infer the one-year conditional default probability of a zero-coupon bond priced below face value, assuming no recovery and a stated risk-free rate. One approach converts the bond’s return into a spread, treats the spread as…
The document examines a common tension in options practice: Black–Scholes is often treated as a way to express prices through implied volatility, even though its assumptions do not fully describe markets, while its Greeks are still used to measure portfolio…
The document considers hedging a short put when short selling its underlying stock is prohibited. It explains that using a negatively correlated stock can reduce exposure, but generally cannot replicate the put exactly: the underlying and substitute stock…
The document asks whether regression approaches beyond Andersen’s method and Longstaff–Schwartz can estimate exercise decisions for Bermudan claims. It frames the price as an optimization over exercise times and explains that these methods estimate an…
The document explains a CAPM derivation that relates an asset’s expected return to its covariance with the market portfolio. Beta is the asset-market covariance divided by market variance. Rewriting the expected-return equation shows that the risk term can…
The document explains futures-style settlement for options on futures and contrasts it with the stock-style premium payment described for US options. Under futures-style settlement, opening the position requires no initial cash premium transfer. Instead,…
The document distinguishes forward rates read from a yield curve from rates generated by a short-rate model. At the current date, a yield curve is a fixed term structure from which one can calculate future rates for chosen short tenors. Those curve-implied…
The document considers whether volatility or correlation is more stable over one- to two-year horizons and over longer periods. Its central lesson is to analyze the two quantities separately: volatility responds to the size of returns, while correlation…
The document surveys choices involved in calculating a Sharpe ratio: sampling frequency, simple versus logarithmic returns, and annualization. The answers describe common use of daily or monthly observations, with weekly data appearing less often, and show…
The document considers utility functions for optimal portfolio allocation that are increasing and strictly concave, with marginal utility tending to infinity near zero wealth and to zero as wealth grows. It notes that isoelastic utility, including power and…