Activities for Students: Seeing How Money Grows

2001 ◽  
Vol 94 (4) ◽  
pp. 278-286
Author(s):  
James Metz
Keyword(s):  
Interest Rate ◽  
Linear Equation ◽  
Math Application ◽  
Albert Einstein ◽  
Exponential Functions ◽  
Exponential Curve ◽  
The Future ◽  
Future Value ◽  
Compound Interest

Compound interest is very much a part of the life of every student. Albert Einstein once called the compound interest formula the most important formula in mathematics. Unfortunately, many students never see the formula unless they take enough mathematics to encounter it in their study of exponential functions. Even then, they may experience it only algebraically, not graphically. Its predecessor, the simple interest formula, is usually studied in isolation, often in a “consumer math” application as an exercise in arithmetic or perhaps in algebra. Few students realize that the simple interest formula can be modeled with the graph of a linear equation when the principal and interest rate are held constant. In a similar way, the compound interest formula can be modeled graphically as an exponential curve. Any student who can make tables and plot points can graph the future value of an account using simple and compound interest and can thereby come to appreciate the meaning of the variables in each formula and how those variables contribute to the growth of an account.

An Interest in Interest

1989 ◽  
Vol 82 (2) ◽  
pp. 126-127
Author(s):  
Joseph C. Tisdale
Keyword(s):  
Interest Rate ◽  
Money Growth ◽  
Exponential Functions ◽  
Real Money ◽  
The Real ◽  
Real Growth ◽  
Compound Interest

Money and interest in the growth of money promote the study of compound interest and exponential functions. Using the formula A(n)= P(1+r)n we calculate the amount of money A(n) accumulated if P dollars are invested for n compound periods at r interest rate each period. But does the amount accumulated reflect real money growth given the effect of inflation and taxes? Examples of compound interest used in the classroom and in textbooks can be misleading. This article addresses the real growth of an investment in light of inflation and taxes.

Smart Estimation Ver-H.1.0

2018 ◽  
Author(s):  
Sigit Haryadi
Keyword(s):  
Sample Size ◽  
Confidence Level ◽  
Time Span ◽  
Regression Equation ◽  
Weight Factor ◽  
The Past ◽  
Level Of Confidence ◽  
The Future ◽  
Future Value ◽  
The Difference

We cannot be sure exactly what will happen, we can only estimate by using a particular method, where each method must have the formula to create a regression equation and a formula to calculate the confidence level of the estimated value. This paper conveys a method of estimating the future values, in which the formula for creating a regression equation is based on the assumption that the future value will depend on the difference of the past values divided by a weight factor which corresponding to the time span to the present, and the formula for calculating the level of confidence is to use "the Haryadi Index". The advantage of this method is to remain accurate regardless of the sample size and may ignore the past value that is considered irrelevant.

The time that money requires: Use of the future and critique of the present in financial valuation

2020 ◽  
Vol 6 (2) ◽  
pp. 95-113
Author(s):  
Fabian Muniesa ◽  
Liliana Doganova
Keyword(s):  
Investment Decisions ◽  
Financial Valuation ◽  
The Future ◽  
History Of ◽  
Future Value ◽  
Philosophical Implication ◽  
Sociology Of Finance ◽  
Uncertain Future ◽  
Political Technology

The future is persistently considered in the sociology of finance from two divergent, problematic angles. The first approach consists in supplementing financial reasoning with an acknowledgement of the expectations that are needed in order to cope with an uncertain future and justify the viability of investment decisions. The second approach, often labelled critical, sees on the contrary in the logic of finance a negation of the future and an exacerbation of the valuation of the present. This is an impasse the response to which resides, we suggest, in considering the language of future value, which is indeed inherent to a financial view on things, as a political technology. We develop this argument through an examination of significant episodes in the history of financial reasoning on future value. We explore a main philosophical implication which consists in suggesting that the medium of temporality, understood in the dominant sense of a temporal progression inside which projects and expectations unfold, is not a condition for but rather a consequence of the idea of financial valuation.

Capital Budgeting and business cycles

2021 ◽  
pp. 315-335
Author(s):  
Edward W. Fuller
Keyword(s):  
Interest Rate ◽  
Demand Curve ◽  
Supply And Demand ◽  
Investment Project ◽  
The Other ◽  
Investment Projects ◽  
Scarce Resources ◽  
Other Hand ◽  
The Future ◽  
The Interest Rate

Every investment project is aimed at achieving some future goal. This goal can only be attained by employing scarce resources, like time. Every investment project entails foregoing other investment projects. It is impossible to undertake all investment projects simultaneously because resources are scarce. This means each investment project is subject to cost. The investment project may be unsuccessful in achieving the future goal and the entrepreneur may suffer a loss. On the other hand, investment projects are only undertaken because they are perceived as more valuable than their costs. Every investment project undertaken implies the possibility of earning a profit. Investment projects take time. An investment project can be represented by a time line. Time A represents the beginning of the production process. Time B is the end of the production pro-cess. Line AB is called the period of production. Present goods are scarce resources that can be consumed im-mediately. On the other hand, future goods cannot be consumed immediately. Future goods are only expected to be consumer goods at some point in the future. An investment project entails making an investment at time A and receiving a present good at time B. All else equal, present goods are more valuable than future goods.1 Any good at time A is more valuable than the same good at time B. This is called time preference. Money is the present good par excellence. Therefore, future goods can be called future cash flows. All else equal, present money is more valuable than future money. This is called the time value of money. The interest rate is the price of present goods in terms of future goods. The interest rate is the price which equates the amount of present goods provided by savers with the amount of present goods demanded by investors. Like all prices, the interest rate is determined by supply and demand. Savers are suppliers of present goods. The supply curve (S) is the quantity of present goods supplied at each interest rate. Factor owners (investors) are the demanders, or buyers, of present goods. The demand curve (D) is the quantity of present goods demanded at each interest rate. The intersection of the supply and demand curve determines the interest rate. The interest rate is determined by the supply and demand for present goods:2

scholarly journals Exploratory Choice Reflects the Future Value of Information

2018 ◽  
Author(s):  
Alexander Rich ◽  
Todd Matthew Gureckis
Keyword(s):  
Decision Making ◽  
Relative Frequency ◽  
Value Of Information ◽  
Exploration And Exploitation ◽  
Expected Number ◽  
Uncertain Environments ◽  
Novel Approach ◽  
Conflicting Evidence ◽  
The Future ◽  
Future Value

The tension between exploration and exploitation is a primary challenge in decision making under uncertainty. Optimal models of choice prescribe that individuals resolve this tension by evaluating how information gained from their choices will improve future choices. However, research in behavioral economics and psychology has yielded conflicting evidence about whether people consider the future during exploratory choice, particularly in complex, uncertain environments. Adding to the empirical evidence on this issue, we examine exploratory decision making in a novel approach-avoid paradigm. In the first set of experiments we find that people parametrically increase their exploration when the expected number of future encounters with a prospect is larger. In the second we demonstrate that when the number of future encounters is unknown, as is often the case in everyday life, people are sensitive to the relative frequency of future encounters with a prospect. Our experiments show that people adaptively utilize information about the future when deciding to explore, a tendency that may shape decisions across several real-world domains.

The future value of ecosystem services: global scenarios and national implications

2020 ◽  
pp. 81-108
Author(s):  
Ida Kubiszewski ◽  
Robert Costanza ◽  
Sharolyn Anderson ◽  
Paul Sutton
Keyword(s):  
Ecosystem Services ◽  
The Future ◽  
Future Value

Epilogue

2020 ◽  
pp. 206-210
Author(s):  
James S.J. Schwartz
Keyword(s):  
Space Environment ◽  
Opportunity Costs ◽  
Scientific Exploration ◽  
The Future ◽  
Future Value ◽  
Human Habitation ◽  
A Priority ◽  
Space Environments ◽  
The Cost

This concluding chapter argues that scientific exploration of the space environment should remain a priority even if space settlements are established, and even if technological breakthroughs decrease the cost of spaceflight enough to increase spaceflight activities by orders of magnitude. It addresses the enduring need to engage in scientific examination in order to establish the viability of space environments for human habitation. It also reaffirms the value of scientific exploration, knowledge, and understanding—which will only become more significant in space societies, if they are ever established. The Epilogue concludes by addressing the possible development of revolutionary technologies, the opportunity costs associated with prioritizing scientific exploration, and the future value of scientific exploration, knowledge, and understanding in space.

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