Abstract

An alternative formulae is derived for NPV. First, the equivalence of NPV formulae and the value of a special portfolio is shown and weights of special portfolio is derived by minimizing the variance of portfolio.

Highlights

  • The concept of NPV plays important role in finance

  • (iii) Assuming distributions of Fi's are given, the Monte Carlo simulation involved variance reduction may be used in Modelrisk software to calculate the Net present value at risk (NPVaR), as did Ye and Tiong (2000)

  • Suppose that Fj − Fj −1 be a sequence of independent variables with mean μi variance σj[2]

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Summary

Introduction

The concept of NPV plays important role in finance. Ye and Tiong (2000) introduced the concept of Net present value at risk (NPVaR) for financed infrastructure projects. For given discrete time cash flow stream i, Fi , i = 1,2, ..., the NPV is I =1 where r is given interest rate and Z is the z-transform function, see Park and Sharp-bette (1990).

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