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EN
The geological object (deposit) is a specific type of asset of mining enterprise which cannot be quantitatively or qualitatively interchangeably measured. In spite of rapid development of geological and economic sciences, still none of universal method of evaluation of value of resources has been settled yet. In the article, on the example of the oil sector, author described chosen methods of the mathematical statistics and the financial mathematics tools, which are used in the risk assessment related to estimating the fair market value of hydrocarbons. In the article the following subjects are presented: - the hyperbolic lognormal distribution in the exploration risk assessment, - the exponential utility function and the evaluation of the real option in the economic risk assessment. For each area of risk assessment is to recommend software. Statistical methods and the financial engineering used in estimating the fair value of the properties, are from many years the topic of numerous scientific publications and research. Many of the studies has indicated the importance of mathematical methods in solving problems in the area, where not long ago intuition and experience of evaluator of deposit were mainstream.
PL
W artykule przedstawiono model kalkulacji opłacalności inwestycji rzeczowych. Jest on oparty na koncepcji kwantylowych miar ryzyka i wycenie opcji realnych. Zastosowanie symulacji Monte Carlo pozwala otrzymać rozkład prawdopodobieństwa wartości zaktualizowanej netto (Net Present Value – NPV) i wdrożyć miary ryzyka, takie jak przepływy pieniężne narażone na ryzyko (Cash Flow at Risk – CFaR), wartość zaktualizowana netto narażona na ryzyko (Net Present Value at Risk – NPVaR) czy oczekiwana strata (Expected Shortfall – ES) w stosunku do NPV – ES (NPV). Głównym wkładem artykułu jest implementacja ES (NPV), która pokazuje średnią najgorszych strat względem NPV. ES (NPV) informuje inwestorów, jaki może być najgorszy wynik projektu.
EN
In the paper a model of non-financial investment profitability calculation is presented. It is based on the concept of quantile risk measures and a real option valuation. Application of Monte Carlo simulation allows to receive probability distribution of Net Present Value (NPV) and implement risk measures like Cash Flow at Risk (CFaR), Net Present Value at Risk (NPVaR) or Expected Shortfall (ES) in relation to NPV (ES (NPV)). The main contribution of the article is implementation of ES (NPV) that shows the average of worst losses regarding NPV. ES (NPV) informs the investors what the worst result of the project may be.
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