Volatility smiles when information is lagged in prices

This study explores volatility smiles when stock market information is lagged, specifically in the REIT industry. A usual requirement is that REITs can only disseminate information relating to their property valuations once per year; therefore, this leads to the lagging effect. Within the context of exchange options (i.e. mergers), it seems that no study has researched on this theme. This article uses the Black & Scholes model to calculate implied volatilities and their corresponding implied options to illustrate arbitrage opportunities when exchange options emerge. The results illustrate that implied volatilities are different from non-implied volatilities. Further, arbitrage is still higher among REITs as opposed to other capital market instruments. Finally, just like other capital market instruments, REIT acquisitions generate alpha.