Fast Algorithm for Calculating Present Values and Rate of Return on Investment

Abstract

The popular yardsticks for ranking ventures in order of their profitability, among others, are rate of return on investment and present value. This paper describes applications of polynomial algorithms for fast and efficient determination of present-day value of total profit for a fixed interest rate and internal rate of return. Thus, establishing the value of the cash flow backs compared to the expenditures and the time value of money become trivially algebraic formulated using a discount rate compatible with the average rate of return on equity. Average rate of return on investment based on predicted cash flow backs compared to force value of investment to balance value of cash-flow-back at some common reference time, the time of investment. This leads to another definition; the internal rate of return is the rate of interest that makes the present-day value of the total income equal to the capital investment. Emphasis is placed on the proper utilization of the results in development of realistic mathematical model and proper consideration of profitability in economic evaluation. Application of digital electronic computer simplifies the extremely cumbersome calculation in 3-step algorithm.

CLPFUDatabase: A suite of R packages for energy conversion chain analysis

“…Such databases will enable advances in societal exergy analysis and lead to new insights about the role of energy in economic growth and human well-being. An example of early work using the CL-PFU database is the calculation of useful stage Energy Return On Investment (EROI) for fossil fuels (Aramendia et al, 2023), for which the ECCTools (Aramendia & Heun, 2022a) and EROITools (Aramendia & Heun, 2022b) packages were developed, expanding the software capabilities introduced here 4 .…”