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FINANCIAL MATHEMATICS

By Sabrine Ben Hadj Amor Uncategorized
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About Course

Financial mathematics is a crucial branch of applied mathematics, essential for deciphering and mastering the mechanisms of financial and banking products. This discipline focuses on modeling time and uncertainty at the heart of financial operations, and this is precisely what a dedicated training aims to convey. Learners acquire a deep understanding of calculations related to simple and compound interest, fundamental concepts that govern investment and credit operations. The distinction between these two types of interest is vital, as it directly affects the profitability of investments and the cost of borrowing. Discounting and capitalization methods are explored, allowing students to grasp how a monetary value can vary over time, which is essential for accurately assessing financial assets or liabilities.

The training also provides insight into the various interest rates – nominal, effective, equivalent – and their use in financial calculations. This knowledge is crucial for making the right choice of financial instruments based on investment or borrowing needs and strategies. Furthermore, mastering the calculation of the acquired value and the present value, whether for single amounts or series of annuities, is essential for decision-making in investment and financing. These skills are directly applicable in evaluating future cash flows and managing the risks associated with these flows.

In terms of career opportunities, the skills acquired in this training open the door to a multitude of careers in the financial sector. Graduates can aspire to positions such as financial analyst, risk manager, investment consultant, or actuary. They are also well-prepared to work in financial institutions, banks, insurance companies, and any organization where financial management is crucial. Beyond these traditional roles, expertise in financial mathematics is also sought after in fintech companies, where innovation constantly produces new financial products and services requiring rigorous quantitative analysis.

 

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What Will You Learn?

  • Mathematical foundations
  • Calculation of interest rates
  • Investment project evaluation
  • Risk management
  • Options and derivatives
  • Portfolio analysis
  • Debt and capital management
  • Financial modeling
  • Financial Market Analysis
  • Financial Regulation

Course Content

Module 1: Interest, Discounting, and Capitalization
Interest is a financial operation carried out between the borrower and the lender; it is the remuneration for capital lent to an economic agent by another agent. At the time of the loan disbursement, the lender provides a sum of money in the form of a loan to the borrower, and in return, the borrower must repay, at the repayment date, the amount of the loan plus interest, which constitutes the acquired value. In this case, we can apply two financial operations, which are discounting and capitalization, to compare the two values called present value and acquired value for two different dates.

  • Definition and justification of interest
    00:00
  • Capitalization and Discounting
    00:00
  • Simple interest
    00:00
  • Compound interest
    00:00
  • Application to some investment and credit instruments
    00:00

Module 2: Annuities
An annuity consists of an annual payment that includes a portion of the capital lent called amortization and the interest; it can be constant or variable, and we can calculate the present value and the acquired value of a series of annuities at the end of the period or at the beginning of the period.

Module 3: Undivided loans and bond loans
In the literature, there are two types of loans: undivided loans and bond loans. Undivided loans, also called ordinary loans, are a contract made between a borrower and a single lender, but in cases where the loan amount is very high, the borrower is obliged to approach several lenders called bondholders; thus, the bond loan is a contract concluded between a borrower and multiple lenders.

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