Category: DERIVATIVES

How Bitcoin Options Compare to Equity Index Options: Volatility, Correlation, and Skew

Bitcoin options are derivative contracts that grant investors the right, but not the obligation, to buy or sell Bitcoin at a predetermined price before a specified expiration date. Major cryptocurrency exchanges offer options on Bitcoin and other cryptocurrencies, including select tokens. However, the vast majority of trading takes place on …

Forecasting Covered Call ETF Performance

A covered call ETF is an exchange-traded fund that employs a covered call strategy to generate income while maintaining exposure to the underlying assets. This strategy involves holding a portfolio of stocks and selling (or “writing”) call options on those stocks to collect option premiums. Covered call ETFs are particularly …

Measuring Jump Risks in Short-Dated Option Volatility

Unlike long-dated options, short-dated options incorporate not only diffusive volatility but also jump risks. The commonly used VIX and SKEW indices cannot clearly identify the jump risk component in options volatility. To better isolate and present the jump risk component, Reference developed a stochastic jump volatility model that includes …

Risks of Short-dated Options Order Flow

Options, particularly short-dated ones, are gaining popularity among retail traders, with their trading volume increasing significantly. While some research argues that short-dated options do not impact the market, certain market practitioners hold opposing views. Reference investigated the risks associated with short-dated options order flow. It examined the effective trading …

VIX Manipulation: Evidence from SPX Options and Market Data

Market manipulation refers to intentional actions taken to distort the normal functioning of financial markets, often to benefit specific individuals or entities at the expense of others. These actions can include spreading false information, rigging prices, or creating artificial demand or supply. A notable example is the LIBOR manipulation scandal, …

Trading Volatility Skew: Can Forecasts Increase Returns?

Volatility skew refers to the observed pattern where implied volatility varies depending on the strike price of an option. Typically, in equity markets, out-of-the-money (OTM) put options exhibit higher implied volatility than at-the-money (ATM) or out-of-the-money call options. This phenomenon reflects market participants’ demand for protection against downside risks, as …

Incorporating Memory and Stochastic Volatility into Geometric Brownian Motion Model

Geometric Brownian Motion (GBM) is a widely used mathematical model for simulating the random behaviour of asset prices in financial markets. It assumes that the price of an asset follows a continuous-time stochastic process, where the logarithmic returns are normally distributed. GBM is foundational in option pricing models like Black-Scholes-Merton. …