6th week finantial functions 1

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    IT APPLIED TO

    MANAGEMENT

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    PREVIOUS CONCEPTS

    Lending is a financial operation ofloan

    in which the lenderdelivers a quantity of

    money to the borrowerwho receives itand compromises to return the capital in

    the agreed due day(s) or maturity

    period.

    The total payment will include theinterests stipulated (value of the

    money) according to what is established

    in the contract.

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    PAYMENTS : Quotas or periodic amount that the

    borrower pay to the lender to reimburse the initial capital

    and interests earned along the life of the loan.

    AMORTIZATION: Are the partial payments of the initical

    debt. The sum of these payments in the moment of the

    cancellation is equal to the given capital.

    INTEREST RATE: The rate at which interest is paid by a

    borrower for the use of money that he borrow from a

    lender.

    PREVIOUS CONCEPTS

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    There are several systems ofAmortization:

    French system: The payment is fixed, the capital

    amortization is progressive as periods of time pass by,

    whereas the interests decrease.

    German system: The amortization is fixed, therefore

    the interests and the total payment will be diminishing.American system: There is a single amortization at the

    end of the period; in every payment only interests are

    paid.

    PREVIOUS CONCEPTS

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    CUMIPMT - Cumulative Interest Payment

    CUMPRINC - Cumulative Principal

    EFFECT - Effective annual interest rate

    FV - Future Value of an investment

    IPMT - Interest Payment for an investment or loanIRR - Internal Rate ofReturn

    INTRATE - Interest rate for a fully invested security

    ISPMT - Interest Payment during a Specific period

    NPER - Number ofPeriods for an investment or loan

    NPV - Net Present Value formula

    PMT - Periodic Payment for an annuity

    PPMT - Payment on the Principal for an annuity or loan

    RATE - Interest rate per period

    Functions for Interest, Cash Flow & Investments

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    PAYMENT Function:Calculates the payment ofa loan based on constant payments and a

    constant rate ofinterest.

    Syntax PMT(rate;nper;va;vf;type)

    Rate : is the interest rate of the loan

    Nper: is the total number of payments of the loan

    Va: is the actual value or what currently cost the sum of the series of

    future payments, also known as the principal

    Vf: is the future value that you want to accomplish after effecting the

    last payment. If the argument Vf is omitted, it is assumed that the valueis 0 (meaning that the future value of a loan is 0).

    Type : is a number 0 or 1 and indicates the expiration of payments

    Type :0 at the end of the period

    Type :1 at the beginning of the period

    Note:The returned payment includes the capital and the interest.

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    Calculates the number of payments of a lending, based on constant,

    periodic payments and with a rate of constant interest

    SyntaxNPER(rate;payment;va;vf;type)

    Rate is the interest rate per period

    Paymentis the effected payment in every period, it should remain

    constant during the life of the annuity

    Va is the actual value or what currently cost the sum of the series of

    future payments

    Vfis the future value or a balance in cash that you want to

    accomplish after effecting the last payment. If the argument vf isomitted, it is assumed that the value is 0 (meaning that the future

    value of a loan is 0).

    Type: is a number 0 or 1 and indicates the expiration of payments

    Type: 0 at the end of the period

    Type: 1 at the beginning of the period

    Nper Function:

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    I T F cti :Calculates the interest paid in a specific period for an investment based on arate of constant interest and payments on constant periods

    Syntax IPMT(rate;period;nper;va;vf;type)

    Rate: is the interest rate of the period

    Period: is the period for which we calculate the interest and

    must be between 1 and the argument Nper

    Nper: is the total number of payments of the lending in an annuity

    Va: is the actual value of a series of future payments

    Vf: is the future value or a balance in cash that you want toaccomplish after effecting the last payment. If the argument vf is

    omitted, it is assumed that the value is 0 (meaning that the future

    value of a loan is 0).

    Type: is a number 0 or 1 and indicates the expiration of payments

    Type: 0 at the end of the period

    Type: 1 at the beginning of the period