Market option prices in last 20 years confirmed deviations from the Black and Scholes (BS) models assumptions, especially on the BS implied volatility. Implied binomial trees (IBT) models capture the variations of the implied volatility known as "volatility smile". They provide a discrete...

This paper examines the joint time series of the S&P500 index and its options with a two-factor Hawkes jump-diffusion model that captures jump propagation (i.e., the phenomenon in which the strike of one jump substantially raises the probability for more to follow). The propagation effect...

In this paper, we promote the approach of relative indifference pricing as a conceptual enhancement of real options theory whenever incompleteness comes into play. As until now the discussion of this concept is limited to the field of mathematical finance, our goal is to stimulate its diffusion...

The implied volatilities provided by OptionMetrics in the IvyDB database suggest substantial deviations from put-call parity that do not really exist. In S&P 500 options, artificial deviations occur because OptionMetrics uses non-synchronous index and option prices and an average implied...

We study a simple static economy with collateralized loan contracts and an incomplete asset market. We study whether economic forces operate to keep asset price equal to fundamentals in this economy. We find that asset prices may be higher than the valuation of any agent in the economy, i.e.,...

In a tractable stochastic volatility model, we identify the price of the smile as the price of the unspanned risks traded in SPX option markets. The price of the smile reflects two persistent volatility and skewness risks, which imply a downward sloping term structure of low-frequency variance...

The 1987 market crash was associated with a dramatic and permanent steepening of the implied volatility curve for equity index options, despite minimal changes in aggregate consumption. We explain these events within a general equilibrium framework in which expected endowment growth and economic...

This paper presents direct evidence that option price quotes do not contain any information about future stock prices beyond what is already reflected in current stock prices. We use trade and quote data for 39 liquid U.S. stocks and ETFs and options on them, and focus on events when the two...

We propose two new risk measures (i-beta and i-gamma) for a stock, which aim to distinguish between noise and information. Noise allows the stock price evolution to happen along a continuous path. Market wide economic information is transmitted via price jumps. Noise is idiosyncratic and does...

We introduce a discrete-time model for log-return dynamics with observable volatility and jumps. Our proposal extends the class of Realized Volatility heterogeneous auto-regressive gamma (HARG) processes adding a jump component with time-varying intensity. The model is able to reproduce the...