Options pricing using OBV method Krzysztof Urbanowicz Quant - - PowerPoint PPT Presentation

options pricing using obv method
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Options pricing using OBV method Krzysztof Urbanowicz Quant - - PowerPoint PPT Presentation

Options pricing using OBV method Krzysztof Urbanowicz Quant Technology Difference between Black-Scholes theory and ObV theory Mr. Black and Mr. Scholes assume Winner process and as a consequence Normal distribution of returns. We assume more


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SLIDE 1

Options pricing using OBV method

Krzysztof Urbanowicz Quant Technology

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SLIDE 2

Difference between Black-Scholes theory and ObV theory

  • Mr. Black and Mr. Scholes assume Winner process and as a

consequence Normal distribution of returns. We assume more general form of Winner process and as a consequence Power-Law Distribution. In next slides we show difference in used distributions.

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SLIDE 3

Probability Density Distributions – Normal Distribution

0.1 0.2 0.3 0.4 0.5 0.6

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SLIDE 4

Probability Density Distributions – Power-Law Distribution

0.1 0.2 0.3 0.4 0.5 0.6

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SLIDE 5

Probability Density Function (PDF) – fit to reality

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SLIDE 6

Black-Scholes theory – behaviour of probable future prices in time

  • 30
  • 20
  • 10

10 20 30

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SLIDE 7

ObV theory – behaviour of probable future prices in time

  • 30
  • 20
  • 10

10 20 30

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SLIDE 8

ObV options pricing – Volatility Smile

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SLIDE 9

ObV options pricing – Volatility Smile

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SLIDE 10

ObV options pricing – Volatility Smile

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SLIDE 11

Result of Delta Hedge Strategy based on Black-Scholes Model

  • 15000000
  • 10000000
  • 5000000

5000000 10000000

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SLIDE 12

Result of Delta Hedge Strategy based on ObV Model

  • 20000000

20000000 40000000 60000000 80000000 100000000

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SLIDE 13

Result of Delta Hedge Strategy based on ObV Model

Results of backtest http://www.wonabru.com/options/backtest

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SLIDE 14

Thank you. Further details http://www.wonabru.com