from mathematics to finance - tu/e · from mathematics to finance 24 thank you for your attention...

24
Equity Scorecard 06/04/2016 From Mathematics to Finance Giovanni Bonaschi

Upload: votu

Post on 09-Jun-2018

214 views

Category:

Documents


2 download

TRANSCRIPT

Equity Scorecard

06/04/2016

From Mathematics to Finance

Giovanni Bonaschi

From Mathematics to Finance

2

1 year ago

From Mathematics to Finance

3

1 year ago

•Where I was •What I was doing

From Mathematics to Finance

4

1 year ago

•Where I was •What I was doing •What I was thinking about

From Mathematics to Finance

5

What we do

From Mathematics to Finance

6

What we do

• Mutual fund • Exchange traded fund • Hedge fund • Private equity fund • …

From Mathematics to Finance

7

How we do it

• Commodities • Third Party Funds • Derivatives on derivatives …

From Mathematics to Finance

8

Options

P(StrikePrice,Maturity) C(StrikePrice,Maturity)

From Mathematics to Finance

9

Why a mathematician

Script taken from “Margin Call”

From Mathematics to Finance

10

Why a mathematician

Script taken from “Margin Call”

From Mathematics to Finance

11

Why me?

From Mathematics to Finance

12

Why me?

From Mathematics to Finance

13

Example: Fair Value Model - Europe

From Mathematics to Finance

14

Example: P/E e EPS - Europe

From Mathematics to Finance

15

Example: Technical Indicators – Bollinger Bands for EuroStoxx 50

From Mathematics to Finance

16

Options

P(StrikePrice,Maturity) C(StrikePrice,Maturity)

From Mathematics to Finance

17

Options

dS

S= µ dt + ‡ dW

Black-Scholes

Price PUT(K, T ) Ã3

T,K

S0, ‡

4

From Mathematics to Finance

18

Options

Jin Feng - Martin Forde - Jean Pierre Fouque

dS

S= rdt +

ÔY dW 1

dY = Ÿ

Á2 (◊ ≠ Y )dt + ‹

Á

ÔY dW 2

dÈW 1, W 2Í = fldt

Á æ 0

Short-Maturity Asymptotics for a Fast Mean-Reverting Heston Stochastic Volatility Model

From Mathematics to Finance

19

Options

Á æ 0fl > 0fl < 0

From Mathematics to Finance

20

Implied Volatility

From Mathematics to Finance

21

Now

From Mathematics to Finance

22

Now

•Where I am •What I am doing

From Mathematics to Finance

23

Now

•Where I am •What I am doing •What I am thinking about

From Mathematics to Finance

24

THANK YOU FOR YOUR ATTENTION

This presentation discusses general market activity, industry or sector trends, or other broad-based economic, market or political conditions and should not be construed as research or investment advice. This material has been prepared by G.A. Bonaschi and is not financial research nor a product of ARCA SGR. The views and opinions expressed may differ from those of ARCA SGR Active Managed Team or other departments or divisions of ARCA SGR and its affiliates.