FINPIMA Finance and Insurance Mathematics A

School of Business Administration in Karvina
Winter 2010
Extent and Intensity
1/2/0. 3 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Jarmila Šlechtová (lecturer)
Guaranteed by
RNDr. Jarmila Šlechtová
Department of Finance and Accounting – School of Business Administration in Karvina
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives (in Czech)
The goal of the course is to explain the mathematical applications for a branch of finance. This course covers the operations which are connected with the possibilities to utilize the mathematics for a simple interest and a compound interest, savings, the calculations of rents, credits, calculations of the concurrently value for the stocks and the value bills, for a conversion of an available capital on foreign currency, for the forward transactions with the securities. The audience will be in a position to recognize how an actuary enters into an interaction with the mathematical economics, econometrics, mathematical and an economic statistics.
Syllabus (in Czech)
  • 1. History of a financial and actuary
    Since when it is possible to extend an infancy of the actuary. The aspects and genesis of the actuary. The renames of this mathematical application. Genesis of an actuary. Development this application like of a science discipline in dependence on history.
    2. Fundamental conception of the financial and actuary
    An explanation and concept meanings of the financial operation, interest, capital, rent, rate of interest, profit rate. The factors, which work rate of interest.
    3. Mathematical terms
    Repeat of the mathematical conceptions they introduce into connection with the financial mathematics. Percent number. The functions above all the linear, exponential and logarithmic functions. Arithmetical, geometrical and harmonic average like basis of the mathematical statistics. Sequences and progressions above all the arithmetical and geometrical sequences and progessions.
    4. Simple interest
    Interest, interest period. The methods of an interest. The models of an interest, their classification. Interest-number, interest divider and their using. Fundamental equation of a simple interest. Discount.
    5. Short - term securities
    Short - term security, an explication of this conception. The examples and definitions these securities. Bill, discount and bank acceptance, treasury - note, tap CD, current account and bank overdraft, discount and an application of the calculations.
    6. Compound interest
    Fundamental equation of the compound interest. Comparison of the simple and compound interest. Calculation of time maturity at the compound interest as well as concurrently funds and rate of interest.
    7. Rate of interest
    Explication of the conception the rate of interest, with it's the further conceptions are liked. They are the efficient rate of interest, interest intensity, real rate of interest, nominal rate of interest, real rate of interest, rate of inflation, time value pen-case. Mathematical correlation mathematical relation among these conceptions and calculations.
    8. Saving
    Conception of the saving and classification. The calculations for short-term saving and long-term saving, past time saving and in front of time saving. Combination of the short-term and long-term saving, the conditions for an application.
    9. Rents
    Rents and their classifications. Calculations for an immediate rent, postponed also eternal but also past time rent and in front of time rent. Temporary rent and evergreen rent. Calculations for the all types of the rents.
    10. Time value of the finance
    Explication of an income tax, tax rate, re-deduction. Fundamental conceptions of the capital decision - making. Value equation, going value and inner rate of the return.
    11. Secular securities
    Explication of the conceptions an obligation, bond, share, bracket, rendita, dural, dividend, average time of the maturity, price and quotation of the bond, price and quotation of the share, coupon type, right of the refusal. The calculations they are responded for them.
    12. Risk in an actuary
    Conception of the risk. Classifications of the risks. Financial risk and definition. Financial portfolio and an analysis. Analysis of the risk degree.
    13. Financial and term progressions
    Explication of the conceptions for the series, financial series also time series. The reasons and examples for the applications of the financial progressions.
Literature
    required literature
  • ETHERIDGE, E. A Course in Financial Calculus. Cambridge: UNIVERSITY PRESS, 2002. ISBN 0-521-89077-2. info
  • Elliott, R. J., Kopp, P. E. Mathematics of Financial Markets. New York: Springer Verlag, 2001. ISBN 0-380-98553-0. info
    recommended literature
  • BAXTER, M., RENNIE, A. Financial Calculus: An Introdaction to Derivate Pricing. Cambridge: UNIVERSITY PRESS, 1996. ISBN 0-521-55289-3. info
Language of instruction
English
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is also listed under the following terms Winter 2007, Winter 2008, Winter 2009, Winter 2011, Winter 2012, Winter 2013.
  • Enrolment Statistics (Winter 2010, recent)
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