# Unit FINANCIAL MATHEMATICS

Course
Study-unit Code
20004206
Location
PERUGIA
Curriculum
In all curricula
CFU
6
Course Regulation
Coorte 2020
Offered
2021/22
Learning activities
Caratterizzante
Area
Statistico-matematico
SECS-S/06
Type of study-unit
Obbligatorio (Required)
Type of learning activities
Attività formativa monodisciplinare

### FINANCIAL MATHEMATICS - Cognomi A-L

Code 20004206 PERUGIA 6 Gianna Figa' Talamanca Gianna Figa' Talamanca 42 ore - Gianna Figa' Talamanca Caratterizzante Statistico-matematico SECS-S/06 Obbligatorio (Required)

### FINANCIAL MATHEMATICS - Cognomi M-Z

Code 20004206 PERUGIA 6 Alessandra Cretarola Alessandra Cretarola 42 ore - Alessandra Cretarola Caratterizzante Statistico-matematico SECS-S/06 Obbligatorio (Required) Italian. Temporal structure of financial exchanges, capital, interest (linear and exponential laws). Financial operations, annuities, amortization plans. Internal rate of return. Value function, non-abitrage pricing under certainty, term structure of interest rates. Temporal indices and variability indices. 1) G. Castellani, M. De Felice, F. Moriconi, Manuale di Finanza, vol. I, Il Mulino, 2005. 2) M. Pagliacci, Appunti di Calcolo Finanziario, 2015 (available on the e-learning platform uni-studium). The objective is to give to the students the skills needed to understand the theoretical basis of financial operations under certainty and to solve in practice the problems that a financial operator has to face in the management of a company. The student must have the mathematical skills covered by the course Matematica Generale. Face-to-face. 1) Teaching support: possible exercise training carried on by a tutor (date, time and room will be communicated during face-to-face lectures). 2) Attendance: Optional but strongly advised. The exam is divided into a written test (also covering theoretical questions) and an oral test. To access the oral exam, the student has to get a mark in the written test greater or equal to 15/30. The mark obtained in the written exam can be confirmed, after a discussion on the correction of the test, if the mark is in the range 18/30 - 26/30. The student has to take the oral test if the mark is in the written exam is in the ranges 15/30 - 17/30 and 27/30 - 30/30. The discussion or the possible oral test must be taken before the end of September (if the written test been taken in June or July or September) or before the end of February (if the written test been taken in January or February). The student who does not pass the written test or the oral test can take the following examination turn. The student must book the reservation for the written exam through the web site https://unipg.esse3.cineca.it/.For students with Specific Learning Disorders and/or Disabilities please refer to the web page: http://www.unipg.it/disabilita-e-dsa The exchange of monetary amounts due at different times. Bonds. The fundamental quantities of financial mathematics (interest, discount factor and compounding factor, interest rate and discount rate, intensity of interest and discount). Relations between the fundamental quantities. Conventions: linear law and exponential law. Equivalent interest rates. The term structure of spot interest rates.Financial operations. Value of a financial operation with respect to a given law and a term structure. Fair financial operations.The internal rate of return of a financial transaction. The TAEG in consumer credit. Equilibrium value of a cash flow.Financial annuities. Evaluation of the various types of annuities (immediate and deferred, anticipated and postponed, temporary and perpetual, fixed-rate and variable-rate). Fixed rate and floating rate amortization plans.Value function and market prices. No risky arbitrages. Spot and forward contracts. Implied rates. Term structure of interest rates. Temporal indices and variability indices.
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