Time value 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 Time Value 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 value of a single amount
P= principal (present value)
i= interest
n= number of periods

Future Value of an Annuity
The future value of an annuity is the sum of all the payments (receipts) plus the accumulated compound interest on them. In computing the future value of an annuity, it is necessary to know (1) the interest rate, (2) the number of compounding periods, and (3) the amount of periodic payments or receipts. Formula:

FVoa= PMT [((1+i)n-1)/i)
Where:
FVoa = Future Value of an Ordinary Annuity
PMT = Amount of each payment
i = Interest Rate Per Period
n = Number of Periods
This measures how much you would have in the future given a specified rate of return/ discount rate.

Present Value Concepts
Present Value is an amount today that is equivalent to a future payment, or series of...

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TIMEVALUE OF MONEY (CHAPTER 4)
1. Future value (FV), the value of a present amount at a future date, is calculated by applying compound interest over a specific time period. Present value (PV), represents the dollar value today of a future amount, or the amount you would invest today at a given interest rate for a specified time period to equal the future amount. Financial managers prefer present value to future value because they typically make decisions at time zero, before the start of a project.
2. A single amount cash flow refers to an individual, stand alone, value occurring at one point in time. An annuity consists of an unbroken series of cash flows of equal dollar amount occurring over more than one period. A mixed stream is a pattern of cash flows over more than one time period and the amount of cash associated with each period will vary.
3. Compounding of interest occurs when an amount is deposited into a savings account and the interest paid after the specified time period remains in the account, thereby becoming part of the principal for the following period. The general equation for future value in year n (FVn) can be expressed using the specified notation as follows:
FVn ’ PV × (1 + i)n
4. A decrease in the...

...and Future Price of Money
Trident University International
FIN 501
Module 2: Case Assignment
Dr. John Halstead
One of the most important concepts about saving and investing is the timevalue of money. It can be used to compare investment alternatives and to solve problems involving loans, mortgages, leases, savings, and annuities. This means money paid out or received in the future is not equivalent to money paid out or received today because inflation erodes money’s buying power. Basically, the power of time is on a person’s side and the premise that cash in hand today is more valuable than the same amount in the future due to its capability of earning interest. There are three factors affecting how much an investment will grow: time, money, and interest rate. TimeValue of Money is a concept that is very important in financial management. It affects business, personal, and government finance (Harvey, 2012) Within this paper we will discuss the definition of TimeValue of Money and identifies the importance of financial managers understanding the concept.
Time, Money and Interest Rates
Time has an important impact on the future value of money....

... 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...

...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...

...organizations, flow of money occurs at various points of time. In order to evaluate the worth of money, the financial managers need to look at it from a common platform, namely one time duration. This common platform enables a meaningful comparison of money over different time periods.
•
An important principle in financial management is that the value of money depends on when the cash flow occurs – which implies Rs.100 now is worth more than Rs.100 at some future time.
Indian Institute of Technology Madras
Management Science-II
Prof. R.Madumathi
TimeValue Of MoneyTimeValue Of Money
The Time-Value Of MoneyMoney like any other desirable commodity has a price. If you own money, you can, 'rent' it to someone else, say a banker, who can use it to earn income. This 'rent' is usually in the form of interest. The investor's return, which reflects the time-value of money, therefore indicates that there are investment opportunities available in the market. The return indicates that there is a – risk-free rate of return rewarding investors for forgoing immediate consumption – compensation for risk and loss of purchasing power.
Indian...

...Introduction
The timevalue of money 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. The timevalue of money can be defined as the value of money received today instead of in the future. This is based on the premise that cash in hand today is more valuable than the same amount in the future due to its capability of earning interest. For investors, this is single most important concept in the world of finance. This paper will discuss the different financial applications of the timevalue of money. This paper will also describe the components of interest and highlight various methods of calculating timevalue of money using different interest scenarios.
Financial Applications of the TimeValue of MoneyTimevalue of money has many useful applications. One of the most important uses is that it helps to measure the trade-off in spending and saving. This can have important consequences for your personal budgeting. If market interest rates are at 5%, one may decide that the timevalue of money is greater in the future, and...

...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...

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