Over-allotment arrangements are nowadays part of almost any initial public offering. The underwriting banks borrow stocks from the previous shareholders to issue more than the initially announced number of shares. This is combined with the option to cover this short position at the issue price....

In this paper, I study risk-neutral probability densities regarding future Libor rates denominated in British pounds, euros, and US dollars as implied by option prices. I apply Breeden and Litzenberger's (1978) result regarding the relationship between option prices and implied probabilities for...

A callable leveraged constant maturity swap (CMS) spread note allows the holder to benefit from future changes in the spread between two swap interest rates. The issues retains the right to call the note at pre-specified times in the future. The note is priced via Monte Carlo simulation using...

In this paper we study the development of interest rate risk premium and option implied state price densities in the Euribor futures option market. Using parametric and non-parametric statistical calibration, we transform the risk-neutral option implied densities for the Euribor futures rate...

We study minute-by-minute behavior of the VIX index and trading activity in the underlying S&P 500 options to understand the impact of macro and microeconomic forces on risk neutral volatility. VIX often increases with macroeconomic news, reflects the credibility of Fed monetary stimulus, and...

We study the estimation, the dynamics, and the predictability of option-implied risk-neutral moments (variance, skewness, and kurtosis) for individual stocks from various perspectives. We first show that it is in the estimation of the higher moments essential to use an interpolation with a...

This paper analyzes the valuation of day-ahead Physical Transmission Rights (PTRs) on the German-Dutch interconnector. From a financial perspective, PTRs are options written on the difference between the German and Dutch hourly electricity prices. We propose a model for the valuation of...

We derive valuation formulas for caps and floors on backward-looking term rates in the Black-1976, Bachelier and Hull-White-1-Factor models explicitly regarding valuation in the fixing period, extending and detailing results of [Lyashenko & Mercurio 2019, Henrard 2019, Turfus 2020]. These...

Equity option markets exhibit intense trading activity. We use the variability of option implied volatility spread as a proxy for the impounding of new information, and changes in the interpretation of existing information, into option prices. Over the 2006 – 2016 period, we find that the...