The current method employed by the Johannesburg Stock Exchange11www.jse.co.za. (JSE) to determine implied volatility is based on trade data and a linear deterministic approach. The aim of this paper is to construct a market-related arbitrage-free implied volatility surface, by using a quadratic...

An elementary proof is presented to show that a connection exists between the Esscher-Girsanov transform and the Wang transform.

The Wang transform allows for a simple, yet intuitive approach to pricing options with underlying based on geometric Brownian motion. This paper shows how the approach by Hamada and Sherris can be used to price some exotic options. Examples showing the convergence of the Wang price to the...