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...

The current method employed by the Johannesburg Stock Exchange (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 deterministic...

Certain exotic options cannot be valued using closed-form solutions or even by numerical methods assuming constant volatility. Many exotics are priced in a local volatility framework. Pricing under local volatility has become a field of extensive research in finance, and various models are...

Certain exotic options cannot be valued using closed-form solutions or even by numerical methods assuming constant volatility. Many exotics are priced in a local volatility framework. Pricing under local volatility has become a field of extensive research in finance, and various models are...

Certain exotic options cannot be valued using closed-form solutions or even by numerical methods assuming constant volatility. Many exotics are priced in a local volatility framework. Pricing under local volatility has become a field of extensive research in finance, and various models are...

The 2008 credit crisis changed the manner in which derivative trades are conducted. One of these changes is the posting of collateral in a trade to mitigate the counterparty credit risk. Another is the realization that banks are not risk-free and, as a result, cannot borrow at the risk-free rate...

The 2008 credit crisis changed the manner in which derivative trades are conducted. One of these changes is the posting of collateral in a trade to mitigate the counterparty credit risk. Another is the realization that banks are not risk-free and, as a result, cannot borrow at the risk-free rate...