BASIC NOTIONS:
Interest and amount, discount and present value, relationship between fundamental financial quantities, anticipated interest, principle of non-arbitrage, financial laws with one and two variables.

MAIN FINANCIAL REGIMES:
Simple interest and rational discount, equivalent rates; compound interest, laws of formation of interest and amount, nominal rate, instant rate, Hardy's formula; comparison between the two main financial regimes, mixed capitalization.

THEORY OF FINANCIAL LAWS:
Severable and non-divisible financial laws, investment and continuation amount, strength of interest, determination of the capitalization law from the force of interest, force of interest for two-variable laws, force of interest and separable laws, severability for one-variable laws .

SURE ANNUITIES:
Value of an annuity, calculation of capital values; values ​​of annuities in the compound interest regime: temporary constant annuities, fractional annuities, continuous annuities, constant perpetual annuities; variable annuities: case of the indexed installment; determination of the duration and rate of an annuity.

AMORTIZATION OF LOANS:
Repayment plan, loan of a principal repayable at maturity, residual debt as the present value of future installments, progressive amortization with constant annuities (French), amortization with constant capital quotas (Italian), amortization with anticipated interest (German), amortization with quotas accumulation (American), early redemption.

ASSESSMENT OF LOANS, BONDS:
Value of a loan, valuation by recurrence, effective rate of return, risk-adjusted valuation rate, valuation of a loan repayable at maturity; bond loans, price and yield of bonds repayable at maturity or with progressive repayment.

EVALUATION OF FINANCIAL TRANSACTIONS:
Financial transactions, discounted cash flow, DCF criterion and its criticisms, internal rate of return and IRR criteria, relationship between DCF and IRR criteria, APR and NAR.

EVALUATION CRITERIA OF ALEATORY VALUES:
Average value criterion, elements of insurance theory, utility theory, stochastic dominance of the first and second order, mean-variance criterion.

Fabrizio Cacciafesta: MATEMATICA FINANZIARIA (CLASSICA E MODERNA) PER I CORSI
TRIENNALI – G. Giappichelli Editore, Torino (seconda edizione)