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DERIVATIVES

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DERIVATIVES

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Academic year 2017/2018

Course ID
ECO0207
Teaching staff
Elisa Luciano (Lecturer)
Antonella Tolomeo (Assistant technician)
Degree course
Finance
Insurance and Statistics
Year
2nd year
Type
Distinctive
Credits/Recognition
9
Course disciplinary sector (SSD)
SECS-S/06 - metodi matematici dell'economia e delle scienze att. e finanz.
Delivery
Formal authority
Language
English
Attendance
Optional
Type of examination
Written
Prerequisites
math for finance
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Sommario del corso

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Course objectives

 The course aims at presenting the main valuation and hedging techniques for derivatives, mainly futures and options. Lab sessions for application of the theory (Excel based) are included.

 

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Results of learning outcomes

 Ability to evaluate and hedge the main derivative contracts on stock markets.

 

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Course delivery

 lectures + lab

 

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Learning assessment methods

 

Exam: paper and computer based.  Open questions. Maximum grade for each question  will be specified during each single exam, based on the text. Total grade 30. Time: 1.5 hour.  Students entering the exam cannot withdraw.

 

La verifica della preparazione degli studenti avverrà con esame Written composto da domande aperte. I punti totali (30) saranno suddivisi sulla base delle domande presenti nella prova per importanza ed estensione e preannunciati in sede d'esame. Il punteggio finale sarà dato dalla somma dei punteggi parziali. Non è prevista una prova Oral. La durata della prova scritta è di 90 minuti. Non è previsto il ritiro una volta distribuito il compito.

 

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Support activities

lab

 

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Program

 

First part: from Financial Economics to Financial Mathematics

-   The portfolio problem

-   Absence of arbitrage and equilibrium

-   Valuation in complete and incomplete markets

-   Arrow Debreu prices

-   Kernels

-   Risk neutral Probabilities

-        Fundamental pricing Theorem

-        Its use for derivative assets

 

Second part: applications (theory and computer lab):

 

  1. Futures
  2. European Options:

-        Pricing, Binomial and Black Scholes models

-        Hedging: naked and covered positions, stop-loss strategies, delta and gamma hedging in discrete and continuous time

-        Hedging errors and valuation of hedging strategies

  1. Simulation of asset returns

 

 

 

Suggested readings and bibliography

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B. Dumas, E.Luciano, The Economics of Continuous-time Finance, MIT Press, 2017.

https://mitpress.mit.edu/books/economics-continuous-time-finance

 

  



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Note

You can find an updated version of lectures timetable in the section "Materiali didattici".

Potete trovare l'aggiornamento dell'orario delle lezioni nella sezione "Materiali didattici".

 

 

 

 

 

 

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