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FINANCIAL MATHEMATICS

POPA JANINNE-STEFANIA

MOANTA GABRIELA

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CONTENT

  • Elements of financial calculation:
  • Percentages;
  • Simple interest. Compound interest;
  • Value added tax (VAT).
  • Elements of statistics:

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  1. Statistical data;
  2. Graphical representation of statistical data;
  3. Probabilities;
  4. Independent events.

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PROCENTAGE

  • Often in everyday practice the term "procentage" is used to express the changes brought in the evolution of a phenomenon.
  • For example it is said that the production of a factory increased by 5 percent, the price of an object decreased by 15 percent etc.
  • The mathematical symbol for percentage is “%”.
  • The value at which the percentage is reported is called the base value.
  • The value that is compared to the base value is called the percentage value.

! In general the basic value is equal to 100 and the percentage value with a number p.

  • a………………..100
  • b………………..p

 

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SIMPLE INTEREST. COMPOUND INTEREST(1)

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SIMPLE INTEREST. COMPOUND INTEREST(2)

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VALUE ADDED TAX(VAT)

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STATISTICAL DATA

  • The set on which a statistical study is performed is called the statistical population.
  • The component elements of a statistical population are called statistical units or individuals.
  • The total number of statistical units is called the total number of the statistical population.
  • A part of the statistical population specially chosen to be studied is called a sample.
  • The property or indicator according to which a statistical population is researched is called the statistical characteristic or variable.
  • A characteristic is called a qualitative characteristic if it cannot be measured (its value is not expressed numerically) and is called quantitative when it can be expressed numerically.
  • A quantitative characteristic is called discontinuous or discrete if it cannot take isolated numerical values.
  • A quantitative characteristic that can take any value from a finite or infinite length range is called a continuous quantitative characteristic.
  • The intervals in which a characteristic takes values are called groups or classes of values.

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GRAPHICAL REPRESENTATION OF STATISTICAL DATA

  • Collecting the interpretation and grouping of statistical data related to the statistical study of a phenomenon are followed by analysis, interpretation and formulation of predictions about its future behavior.
  • The graph of a statistical series is called the structural diagram.

Columns chart

CICLE

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PIE CHART

Bars chart

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Scatter chart

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PROBABILITIES

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INDEPENDENT EVENTS

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THANK YOU FOR YOUR TIME!