Time Value of Money

Example Of Future Value Of Annuity

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Example Of Future Value Of Annuity

1- What is the future value of $34 through 5 years by %0.05 interest

WRITE THE FOLOWING EQUATION

FV=PV(1+i)n

FV=34(1+0.05)5

FV=34(1.27628815)

FV=43.39

NFV stands for Net future value

2011-11-22T08:42:00.000-08:00

Time Value Of Money

NFV stands for Net future value

You may be able to calculate the future value of an Unbalanced cash flow using your financial calculator. If your calculator has a button labeled NFV (net future value), you can enter individual cash flow , enter the interest rate ,and press The NFV button.

NFV=NPV(1+i)n

However , if your calculator does not have a net future value button , you can still user the calculator. To do so ,first find the net present value of the cash flow series. Then, multiply the net present value by one plus i raised to the power of n,with n representing the number of years until series matures.

Future value of an Unbalanced cash flow

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Time Value of Money

Future value of an Unbalanced cash flow

To calculate the future value of an Unbalanced cash flow stream, first calculate the future value of each individual cash flow . once you have performed these individual calculations , add them together. Add them together . the result is total future value of the Unbalanced cash flow.

In the above equation, FV is future value, n represents the number of periods,CF stands for cash flow, i is interest rate , and t represents the current time period

Amortized Loans(consumer loans,mortgages)

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Time Value of Money
Amortized Loans(consumer loans,mortgages)
It mean that are loans that are repaid in equal payments over a set period of time , with interest included in the payment amounts . most consumer loans, including mortgages, are amortized loans

In the above equation for calculating amortized loans ,PV represents present value , PMT stands for payment, I is the interest rate is the current time period, and n is the number of periods.

Loan amortization schedule

A loan amortization schedule is a table that identifies the amount of interest in each payment.when constructing a loan amortization table. each row should represent a period of payment ,and there should be six columns of data.

First column labeled PERIOD, second labeled BEGINNING Balance , third labeled PAYMENT , the fourth labeled INTEREST PAID, fifth labeled PRINCIPAL PAID,sixth labeled ENDING BALANCE

Unbalanced cash flows

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TIME VALUE OF MONEY

Unbalanced cash flows

unbalanced cash flows are cash flows that change in amounts between periods. Examples of unbalanced cash flows include business income, royalties,allowances,or any loan structured with unbalanced payments.
When calculating uneven cash flows, you can use given equations, but you will likely have several calculations to perform .Errors have an increased extent of existing with manual calculations. Therefore, if you have a financial calculator or spreadsheet program , you should make use of it when performing uneven cash flow analyses.
Present value of an unbalanced cash flow .
The following equation for calculating the present value of a future payment present value of an unbalanced cash flow has five variable ,PV stands for present value, n
Represents the number of periods ,CF stands for cash flow, i is interest rate, and t represents the current time period.

Perpetuities

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Time Value Of Money

What Is Perpetuity

Perpetuity is a cash flow with an infinite amount of equal payments. True perpetuities are not common , but a few still exist. One example of perpetuity is the consol, a popular government bond in great Britain that has no maturity date.

Another example of a perpetuity is preferred stock,preferred stock is an investment that resembles both and a stock , and it is a perpetuity because its fixed dividend payments could last forever.

When series of annuity payments has an unknown ending date, and the ending date is believed to be many years away, it is often easiest to assume that will continue forever, or end in perpetuity.

Example for calculating the present value

Perpetuity formula

PV(PERPETUITY)=	PMT
	I

The equation for calculating the present value of perpetuity is as follows, in this equation, PMT represents the payment made per period, and I represents the interest rate for the perpetuity.

Annuities Due

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Time Value Of Money
Annuities Due

Annuity Due Definition: annuity due is like to an ordinary annuity in that it is an even cash flow that occurs ever fixed intervals for a specific period of time however ,unlike ordinary annuities, annuity payments due occur at the beginning of each period, which means that annuities due are compounded for one extra time period than ordinary annuities. examples of annuity payments

To better understand the concept of annuities due, you should construct a time line specific to the annuity you are analyzing.

When calculating the time value of money for annuities due, buying annuities ,you can follow the same equation as single cash flows ,but you must calculate each payment individually. also remember that you should compound interest on the cash flows one time more than ordinary annuities.

Ordinary annuity

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Time Value Of Money
Calculate value of an ordinary annuity

To calculate value of ordinary annuity use the next structured settlement annuity

Annuity Value In this equation , PMT represents the payment amount for each period n stands the number of periods, t represents the current time period, and I stands for the interest rate. to calculate the present value, you need to calculate each individual payments present value, then sum the results. this answer will give you the presents value of an ordinary annuity.

ordinary annuity example suppose that ABC Company wants to know the present value of ordinary annuity in which payments of $400 have been made over a period of three years at an interest rate of five percent . to calculate the present value ,pug these values into the equation s follows .

The calculation can be long and tedious, so using your financial calculator or spreadsheet program is recommended.to use your financial calculator ,enter -400 for PMT,three for N,zero for FV,and five for I.press the pv button to receive the present value of annuity’s cash flow. Time value of money ordinary annuity

Annuities

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Time value of time annuities

Time value of time annuity is a cycle of even cash flows that occur over equal period of time for a specific amount of time . examples of annuities include rent, college loan payments, lottery winings,insurance premiums, and rent received from tenants. An annuity might also occur over a lifetime, such as a pension payment.

structured settlement annuities Annuities come in three basic forms: an ordinary annuity, an annuity due, and a perpetuity. An ordinary annuity is a series of even cash flows due at the end of equal periods of time for a specific amount of time .examples of ordinary annuities include mortgage payments ,car loan payments, and college loan payments

To better understand ordinary annuities, Sell annuity payments each payment is made at the end of each period. time zero dose not have a payment because it represents the beginning of period one and dose not represent the end of a period . interest is compounded after each payment is made.

When calculating the time value of money for annuities, you can follow the same equation as single cash flows, but you must calculate each payment individually. The equation for calculating the time value of money illustrates this concept.

In this equation, PMT represents the payment total for each period stands for the period number represents the current time period, and I stands for the interest rate. To calculate the future value, you need to calculate each entity payment's future value, then sum the rsultes.this answer will give you the future value if an ordinary annuity.

Interest rates and maturity dates

2011-11-04T11:05:00.000-07:00

Time Value of money

The four variables in the future and present values of the time value of money equation are FVn,PV, n, and i. in order to solve for any one of the variables, you must know the other three. to solve for interest rates, for example, you need to know the present value, future value, and number of years for which the security is compounded.

For example ,assume the present value of a security is $300 , the future value of the security is $150, and interest is compounded for three years.to solve for I,plug the three values into either the present value of future value equation. The following is the equation for calculating:

$150 =$300(1+i)3

to solve this equation , you can use any of the four methods of calculation

.however , the numerical method requires you to plug interest rates into the equation and find the solution by trail and error. The tabular method will not return an exact interest rate if the rate or number of years are not whole numbers. both the financial calculator method or the spreadsheet method are ideal for solving this equation.

To use your financial calculator , enter 175 into your calculator and press the future value key (FV),enter-100 for presents value(PV),and enter three for the number of years (N).the payment key (PMT) should be zero. Now ,press then compute button (CPT),then the interest rate button (1) to calculate the interest Tate. The resulting interest rate is 20.5071 percent.

To calculate the maturity date on a security (n), you must already know the security's present value,future value ,and interest rate.similar to calculating the interest rate,you can use any of the four methods fo computing the maturity rate.

However , the numerical method requires you to plug maturity dates into the equation and find the equation and find the solution by trial and error. The tabular method will not return an exact maturity date if the rate or number of years are not whole numbers . both the financial calculator method or the spreadsheet method are ideal for solving this equation.

For example ,suppose the present value of security is $100, the future value of the security is $175, and the interest rate is five percent . the following is the equation for calculating then maturity date using the future value equation.

$175 =$100(1+.05)n

To use your financial calculator, enter 175 into the future value key(FV), enter-100 into the present value key (FV), and enter five into the interest key (I)on your calculator . the payment key should be zero. Now ,press N to calculate the maturity date. The resulting maturity date is 11.4698 periods.

Discounting

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Discounting is the method of finding a cash flow's present value. It is important to note that if given the future value of a security and its rate of return, you can find its present value. If you are given the present value of a security and its rate of return, you can find its future value.

therefore, discounting is the reverse of compounding and can be calculated by rearranging the future value equation for a cash flow to solve for the security's present value.

The present value from of the time value of money equation is a rearrangement of the future value from the time value money

In this equation, PV stands for present value, I represent the cash flow's interest rate, n stands for the number of years interest is compounded, and FVN represents the future value over n years.

Current Value of money

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Time Value Of Money

Current Value Of Future Payments

Current value of a cash flow. In other word, if you were given the future value amount of a cash flow, the cash flow's current value is the amount you would need to invest today for the cash flow to reach its future value.

occasion cost rate is the rate of safe return that is given up to invest in an alternative investment with the potential for a greater return.

For example , assume that EAGLE company had the chance to invest in a safe investment with a four percent return over a period of time. If they chose an alternative investment, their chance cost is four percent, the rate that they would earn on the safe investment.

If one of the securities that EAGLE Company is considering for purchase currently sells for $200, but the company believes that it has a present value of $205, EAGLE Company should invest because the price of the security is less than its present value.

Of the other hand, if the security cost is $205, ABC Company should not invest in it because the price of the security is more than the present value of the security.

However, if the price of the security was $200 and the present value of the security was $200,EAGLE Company should be indifferent as to whether to invest in the security . so , $200 is known as the faire value of the investment. The fair value of an investment, also known as the equilibrium value, is the price of a security in which investors are indifferent between selling or buying.

Present Value of Money

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Time Value Of Money

Present Value Of A Future Payment
Present value of money it’s the current value of a cash flow. Also cash flow it’s the amount you would need to invest today for the cash flow to reach its future value.

Next we have to know what is opportunity cost rate

It mean the rate of safe return that is given up to invest in an alternative investment with the possible for a greater return

Future value of money

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Time Value Of money
Future value of money
The future value of a cash flow is the value a cash flow generates after being compounded at an interest rate for a
specified number of periods.

Computing is the process of adding interest to previously earned interest. The future value of a cash flow is the result of compounding interest over time.

The calculate the future value of a cash flow , you must follow the future value of the time value of money equation.

In this equation,PV is the present value of the cash flow, i is the interest rate on the cash flow, and n is the number of compounding periods the cash flow will go through before it has matured.

Calculate the time value of money method.

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Calculate the time value of money method.

1- Table method(pv tables annuity) . these method used before financial calculators, calculators. And spreadsheets programs became commonly available, people calculated the time value of money by looking at financial tables.

2- Numerical Method : these method assumes the use of non-financial calculating the time value of money .Equations for calculating the present or future values of cash flows are given ,and you must enter the correct numbers in your calculator to arrive at a solution .

related to the table method ,advances in technology have worn the need for using non- financial calculators.

Also when using the numerical method ,there are some calculations that cannot be computed using a regular calculator .however, the equations themselves are important because they clarify the foundation of time value of money calculations.

3- Financial Calculator Method

By these method you can use to calculate the time value of money ,that method has pre-programmed equations that compute the time value of money.

Buttons used to calculate the time value of money

- N: Represent the number of periods

-I : Represent the interest rate for each period

-PV: Stands for present value, PMT stands for payment

-PMT: stands for payment.

-FV: Stands for present value

Not that PMT button used only with calculating annuities

4- Spreadsheet method : that method computer program (like MS Excel) these program used to calculate time value of money.

Concept Of Time Value Of Money

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Concept Of Time Value Of Money

Time value of money concept refers to the truth that one dollar now is value more than one dollar in the future. The reason this fact holds true is due to rates of return. If you have one dollar now, you can spend it and increase concern, while if you receive one dollar in the future, you have missed the chance to spend and make money from the dollar.

The time value of money used

The time value of money used to calculate tax of return on investments, loans, and fixed assets

Time value of money equations

equation can also be used to calculate the present's value of a flow on income in the future as well as determine tha value of one's salary or calculate the predictable

When calculating the time value of money

Types of cash flows

There are two types of cash flow as following

1- Inflows are monies received from an investment ,such as interest and principal amounts received after the investment has matured

2- Outflows are monies spent on an deal ,such as deposit,costs,and other amounts paid, in finance,outiflows are preceded by a minus sign to indicate the money was spent.

If you are involved in making decisions based on the time values of money, you should use a timeline .A time line is a visual tool used to outline the cash flows of particular investment information found on time lines includes the interest rate, maturity date, outflows, inflows, and the time periods. The variable you are trying to find should be denoted by a question mark.