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21201494 FINANCIAL MATHEMATICS in Economics and business administration L-18 MZ CARLEO ALESSANDRA
(syllabus)
1. PRELIMINARY CONCEPTS Money, time and risks. Present and future value, principal and interest. Contracts, exchange, prices. The risks.
2. FOUNDATIONS OF FINANCIAL CONTRACTS VALUATION
2.1 VALUATION IN CERTAINTY CONDITIONS Financial laws under certainty conditions. The exponential law. Annuities and mortgages. Internal rate of return of a financial transaction. Theory of financial laws.
2.2 FINANCIAL OPERATIONS IN THE MARKET. Value function and market price. The term structure. Duration indices and variability indices. Arbitrage valuation of floating rate notes. Interest Rate Swap. Term structure measurement. Term structure evolution. Introduction to financial options. Basic elements on equity options. Basic elements on traditional life insurance contracts.
(reference books)
David G. Luenberger Investment Science Oxford University Press (any edition)
Annamaria Olivieri, Ermanno Pitacco Introduction to Insurance Mathematics Springer, 2011
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