Why is the time value of money concept important? In what quantitative decisions might the time value of money be used? How do you apply the time value of money concept to make decisions in your personal life?

The idea of the time value of money is important because of the fundamental assertion that one would rather have X number of dollars now, than later. If the money is taken later a value of X+i is preferred. This concept is applied to all situations where someone uses the monies of another for some duration of time and is expected to return the money. This is used in loans, savings accounts, investments, annuities, etc... I apply the time value of money in my personal life in many ways. I calculated out a couple payment options for the new vehicle I purchased this year to see which one cost the least in the end. I also had to figure out how much I had to put in my sons’ college savings fund so it would be worth a certain amount when they turn 18. That was just this year. This concept is widely used in important areas of our personal finances.

How might you use the Time Value of Money concept as a quantitative reasoning tool in business?
In business you need to take out loans to expand or in times of shortage. It is important to understand the risk of those loans and exactly how much needs to be paid and when. Sometimes businesses give loans to their customers. At my company we sell a product that is so expensive that companies sometimes have to obtain different loans from different banks to purchase different sections of an airplane. So we give some loans to our customers so they can afford our product. We have to be able to calculate the rates we charge so that we don’t over burden the customer and so we don’t end up with money that isn’t worth what it would of been the day we sold the plane. Then it would be like giving a discount.

The formula to calculate the value of $1 put into savings today is fv = pv*((1+i)^n). The variables...

... This article will explain the financial concept of timevalue of money. The overview provides an introduction to the principles at work when money grows in value over time. These principles include future value of money, present value of money, simple interest and compound interest. In addition, other concepts that relate to factors that can impede the growth in value of money over time are explained, including risk, inflation and accessibility of assets. Basic formulas and tables have been provided to assist in calculating various formulations of timevalue of money problems. Explanations of common financial dealings in which the timevalue of money is an important consideration, such as annuities, loan amortization and tax deferral options, are included to help illustrate the concept of the timevalue of money in everyday life.
The timevalue of money is a fundamental financial principle. Its basic premise is that money gains value over time. As a result, a dollar saved today will be worth more in the future, and a dollar paid today costs more than a dollar paid later in...

...TIMEVALUE OF MONEYTimevalue of money is useful in making informed business decisions. For example the "net present value method" can be used to help decide the best alternative among multiple alternative uses of a firm or personal financial resources. By discounting various alternatives to their "present value" one can compare the alternatives. Timevalue of money can also answer such questions as what one's investment will be worth at a certain point of time in the future, assuming a certain interest rate. Timevalue of money can also be used to compute such useful information as car, mortgage and other loan payments. Another use of timevalue of money in accounting is reporting of certain long-term assets and liabilities.
Timevalue of money is based on the principle of compound interest. Each time there is a compounding period the new principal is increased by the interest from the previous period.
Converting Before Using the Tables
When using the tables, you may need to convert if, for example, in a lump sum situation there are more than one compounding periods in a year. Or you may need to convert (to monthly compounding) if, for...

...Chen Suiming
4385287
5.1 Money has a timevalue because a dollar in hand today is worth more than a dollar to be received in the future. This makes sense because if we had the dollar today, we could buy something with it or invest it and earn interest.
5.5 Compounding is the process by which interest earned on an investment is reinvested so that in future periods, interest is earned on the interest previously earned as well as the principal.
Discounting is the process by which the present value of future cash flows is obtained.
5.4 The future value equation is: FVn = PV * (1+i)n
Future value at the end of year 3 = $ 5000 * (1+0.105)3
= $ 6746. 163125
Alison Green can collect $ 6746.163125 in 3 years.
5.11 The present value equation is: PV = FVn(1+i)n
The loan = 7750(1+0.06)3
= 6507. 05
I am willing to lend my brother around $ 6507
5.15 According to the equation: PV = FVn(1+i)n
1+in = FVnPV
Therefore, 1+i2 = 15001300
(1 + i) = 1.074
i = 0.074 =7.4%
Because 7.4% > 6.5%, so I should go with bank.
5.27 According to the equation: FVn = PV * (1+i/m)m*n,
a. FV5 = 3500 * (1+0.089/12)12*5...

...TimeValue of MoneyTimevalue of money is an amount of money available today can be safely invested to accumulate to a larger amount in the future.
Present value- an amount of money available today.
Future amount-amount receivable/payable at a future date
Relationship Between Present Values and Present Values
The difference between present value and future amount is the interest that is included in the future amount. It depends on two factors:
1. Rate of interest at which present value increases
2. Length of time over which interest accumulates
The basic concept of TimeValue of Money:
* A PV is always less than its future amount.
* A future amount is always greater than a present value
* A dollar available today is always worth more than a dollar that does not become available until a future date
* A dollar available at a future date is always worth less than a dollar that is available today
Future Value Concepts
Future Value of a Single amount
The future value of a single amount is the value at a future date of a given amount invested assuming compound interest.
Formula:
FV= p X (1+i)n
Where:
FV= future...

...TimeValue of Money
As the name suggests it implies money valued with reference to time which may be present or future. “Time” allows the prospect to earn interest and defer consumption.
Present Value (PV) – it means the current value of money in future measured at a particular interest rate.
Future Value (FV) – it means the value of present money at some point of time in future measured at a particular interest rate.
The value of dollar is more as of today than in future. This is due to the following reasons:
• Risk/Uncertainty about the receipt of money in future
• Preference for current consumption.
• Present money offers investment opportunities to earn additional cash flows. Example – If you offer someone $5000 today or $5000 after a year, he would prefer $5000 today as that money can then be invested and one can earn interest on it.
• At the time of inflation, the value of dollar as of date represents more purchasing power than the value of dollar after an year.
Concept of TimeValue of Money.
1. FV of a single cash flow.
2. FV of periodic cash flows.
3. PV of a single cash flow.
4. PV of a periodic cash flows.
1. FV of single cash...

...Timevalue of money ("TVM") is defined as the idea that money available at the present time is worth more than the same amount in the future, due to its potential earning capacity. This core principle of finance holds that, provided money can earn interest, any amount of money is worth more the sooner it is received. TVM is also often referred to as "present discounted value" (Answers Corporation, 2006). TVM concepts help people like managers or investors understand the benefits and the future cash flow to help them determine if the future benefits will justify the initial cost of the project or investment. To recognize how annuities (a set of fixed payments over a specified length of time) affect the TVM, managers need to consider the factors of interest rates, opportunity cost, future and present values of the money, and compounding. In this paper, I will explain how annuities affect TVM problems and investment outcomes. I will also address the impact of the following on TVM; interest rates and compounding, present value, opportunity cost, and annuities as well as the Rule of 72.
How do annuities affect TVM problems outcomes? Annuities are an investment that promise a constant amount of cash over a certain period. Since annuities generally gain interest, the organization receiving the payments is gaining...

...Abstract
The first steps toward understanding the relationship between the value of dollars today and that of dollars in the future is by looking at how funds invested will grow over time. This understanding will allow one to answer such questions as; how much should be invested today to produce a specified future sum of money?
TimeValue of Money
In most cases, borrowing money is not free, unless it is a fiver for lunch from a friend. Interest is the cost of borrowing money. An interest rate is the cost stated as a percent of the amount borrowed per a period of time, usually one year. The current market rates are composed of three items.
The Real Rate of Interest is what compensates lenders for postponing their own spending during the term of the loan. An Inflation Premium is added to offset the possibility that inflation may eat into the value of the money during the term of the loan. In addition, various Risk Premiums are added to compensate the lender for risky loans such as unsecured loans made to borrowers with questionable credit ratings or loans that the lender may not be able to easily resell.
The first two components of the interest rate listed above, the real rate of interest and an inflation premium, together are referred to as the nominal risk-free rate. In the United States, the nominal risk-free...

...TimeValue of Money (TVM), developed by Leonardo Fibonacci in 1202, is an important concept in financial management. It can be used to compare investment alternatives and to solve problems involving loans, mortgages, leases, savings, and annuities.
TVM is based on the concept that a dollar today is worth more than a dollar in the future. That is mainly because money held today can be invested and earn interest.
A key concept of TVM is that a single sum of money or a series of equal, evenly-spaced payments or receipts promised in the future can be converted to an equivalent value today. Conversely, one can determine the value to which a single sum or a series of future payments will grow to at some future date.
The timevalue of money serves as the foundation for all other notions in finance. It impacts business finance, consumer finance and government finance. Timevalue of money results from the concept of interest.
Key Components of TimeValue of Money
Present Value is an amount today that is equivalent to a future payment, or series of payments, that has been discounted by an appropriate interest rate. The future amount can be a single sum that will be received at the end of the last period, as a...

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