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In this paper selected aspects concerning the use of exponential trend in the forecasting process were considered. An approximate method for estimating trend parameters was proposed. The method yielded results similar to results given by least squares method (LSM). the formula determining 'ex ante' error of the forecast determined by the approximate method and LSM for random element additive model was defined. Computer simulations were done - including three models of random element (additive, multiplicative, mixed) - with the aim of determining the range of usefulness of logarithmic transformation method, LSM and the approximate method.
Return period is often used by investors as an index of investment effectiveness taking into account the time value of money. In order to determine this parameter the equation NPV=0 needs to be solved as a function of 't'. As it is shown it is an exponential equation for which no solution in an analytical form can be obtained and only iterative methods can be used: secant, tangent or bisection methods. The field literature recommends determining consecutive cash flows and comparing them with incurred expenditures (to an accuracy of a unit used for consecutive payments). The authors proposed formulas which are easy to use and burdened with small error, and which determine investment return period.
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