1. High Speed Digital Systems Lab June 2008 Acceleration of Economic Calculation Developers: Ayal Ozer and Eyal Efrat Mentor: Michael Yampolsky Black & Scholes model Acceleration

2. Motivation Motivation Theoretic Background Theoretic Background Project Objectives Project Objectives Method of Operation Method of Operation System Inputs & Outputs System Inputs & Outputs System performance System performance Hardware vs. Software Hardware vs. Software Benchmark Benchmark Time Table Time Table Acceleration of Economic Calculation Agenda

3. World trade is more dynamic World trade is more dynamic There ’ s too much data to process in standard Hardware & Software There ’ s too much data to process in standard Hardware & Software Acceleration of Economic Calculation Motivation Because time is money!

4. What is an option? What is an option? Which options are we going to work with? Which options are we going to work with? What is the Black & Scholes model? What is the Black & Scholes model? Acceleration of Economic Calculation Theoretic Background

5. Real time B&S calculation provides a great advantage in capital markets Real time B&S calculation provides a great advantage in capital markets Using specialized hardware could accelerate the calculation time of the B&S value by a factor of hundreds Using specialized hardware could accelerate the calculation time of the B&S value by a factor of hundreds Acceleration of Economic Calculation Project Objectives

6. Acceleration of Economic Calculation Modus operandi – method of operation Compute the Black & Scholes value of the options in the MAOF index using a hi-speed FPGA and parallelizing the calculation process Compute the Black & Scholes value of the options in the MAOF index using a hi-speed FPGA and parallelizing the calculation process Create a user interface which will display a table with live data and the B&S value of each option. Create a user interface which will display a table with live data and the B&S value of each option.

7. Acceleration of Economic Calculation System Inputs INPUT Financial info about options of the MAOF http://www.tase.co.il http://www.tase.co.il Financial server Financial serverOUTPUT B&S calculation for the options B&S calculation for the options The difference between the option and it ’ s B&S value The difference between the option and it ’ s B&S value

8. Acceleration of Economic Calculation System Performance The name of the game is SPEED The name of the game is SPEED The calculation must be quick, hence the choice of a high speed FPGA platform. The calculation must be quick, hence the choice of a high speed FPGA platform. The aim is to increase calculation speed by a factor of hundreds. The aim is to increase calculation speed by a factor of hundreds.

9. Acceleration of Economic Calculation Hardware vs. Software The B&S model will be initially be calculated by software using C++ The B&S model will be initially be calculated by software using C++ The B&S model will then be implemented using an Altera Startix II FPGA mounted on a GiDEL ProcStar II board. The B&S model will then be implemented using an Altera Startix II FPGA mounted on a GiDEL ProcStar II board.

10. Acceleration of Economic Calculation Benchmark FPGA Software Test vector = ?

11. Acceleration of Economic Calculation Time Table

12. Acceleration of Economic Calculation Questions?