নলেজ লাইব্রেরি

The document proposes estimating the return distribution of a bonus certificate from the distribution of the underlying stock’s returns. The certificate is described as a combination of the underlying and a down-and-out put. The suggested bin-based procedure…

The document discusses a long-short macro momentum portfolio whose positions are adjusted so that the portfolio has a specified forecast volatility. The cited research describes estimating risk from a rolling window of monthly returns and scaling the…

The document asks how to apply put-call parity when interest rates and dividend yields vary across states of a Markov regime-switching model. It describes a setting in which each regime may also use a different underlying price model, and transitions are…

The document explains why a demand function may depend on competitors’ prices in markets where firms interact strategically. In a two-firm example, a firm’s demand falls as its own price rises and increases as its rival’s price rises. For multiple firms, the…

The document raises a valuation question about a convertible bond: how to derive yield to maturity from a value calculated with an option valuation model. It considers treating the difference between the calculated value and the bond’s issue value as…

The document explains how a portfolio return function can combine asset returns with a dated series of portfolio weights. It describes aligning the return and weight data, selecting the matching asset columns, and starting the calculation only once initial…

The document surveys ways to make a published record of recommended trades more credible. Suggestions include timestamping articles with an independent service, posting recommendations on platforms that retain publication dates, sending regular updates to…

The document asks whether an unknown process parameter can be recovered from the sample variance of an observable series that approximately equals a latent process. Given a known variance formula for the latent quantity, the proposed estimator rearranges…

The document considers how to evaluate simulated weekly stock returns with volatility, tail-risk, and downside-risk measures. It contrasts simple percentage returns with log returns and arithmetic with geometric averaging. The accepted answer recommends…

The document explains why the process defined as the exponential of the negative accumulated short rate is called a discount factor. For a cash flow paid at time t, multiplying by this factor converts the future amount into its present value at time zero.…

The document asks whether an options gamma exposure index can help forecast realized volatility and how to turn gamma exposure into an implied-move curve across underlying prices. It describes GEX as an aggregate of call and put gamma exposure, calculated…

The document asks for research on whether options open interest is related to implied volatility, proposing that heavy market-maker short positioning at a strike might lower implied volatility. The response highlights a basic identification issue: each open…

The document explains why two US Treasury bonds with the same maturity but different coupons developed a large yield spread during the 2008 crisis. The seasoned, high-coupon issue traded at a discount and consequently offered a higher yield than the more…

The document asks what can move the Mexico cross-currency basis curve and whether FX changes or expected rate cuts are the main drivers. The answers explain the basis as a measure of deviation from covered interest parity and a signal of relative demand for…

The document examines an apparent violation of no free lunch with vanishing risk under a discounted geometric Brownian model for an equity ETF. It proposes holding a shrinking number of shares for increasingly long periods. The initial downside is bounded by…

The document raises a theoretical question about the long-run behavior of observations from a martingale when the sampling distribution has power-law tails. It contrasts the familiar setting in which observations have finite variance and central limit…

The document considers whether bootstrap Sharpe ratios can establish that a trading strategy’s true Sharpe ratio is positive, and whether 100 resamples are enough. Its central caution is that the fraction of bootstrap estimates above zero is not…

The document considers pricing a European put when the underlying follows geometric Brownian motion multiplied by a compound Poisson jump process. It proposes conditioning on the number of jumps over the option’s remaining life, then summing the conditional…

The document asks how a physics undergraduate with some Python, machine-learning coursework, and numerical computing experience can prepare for quant roles. The answer proposes using QuantLib as a practical test of programming and financial modeling ability,…

The discussion compares Bloomberg’s BGN and CMPN sources for EUR/USD FX option volatility quotes, especially butterfly quotes used in strategies that trade convexity. The answer describes BGN as a generic daily close and CMPN as a composite of contributor…

The document asks how to adapt a Heston European call formula for an FX pair, where pricing involves both a domestic rate and a foreign rate. It supplies a stock-option integral formula, a characteristic function, and proposed asset and variance dynamics,…

The document addresses how to represent a stock portfolio that is rebalanced periodically while daily positions need to be recovered over time. It presents a trade-journal approach: record each instrument, transaction amount, date, and price, then derive…

The document considers a Bermudan callable bond whose observed price appears to approach its redemption value before a call date and then rise when the issuer does not call. It explains that an arbitrage-free model may predict a call when the issuer has…

The document works through the expectation of the cosine of standard Brownian motion at a fixed time. Since the process value is normally distributed with mean zero and variance equal to time, its characteristic function gives the expectation directly as an…