Shopping on line can be easy, simple and save you lots of money. It can also take a lot of your time, frustrate you, and result in unwanted purchases. Now the same can be said for regular high street shopping, but with the vast opportunity presented by the Internet it will pay you to spend a few minutes reading this and understanding how to better optimize your Present Value shopping experience:
1. Compare - without doubt the biggest advantage that the Present Value offers shoppers today is the ability to compare thousands of Present Value at a time. This is a great thing, but not necessarily all the time! Too much can be daunting at times so take advantage of the great comparison sites and where possible let them do the hard work for you.
2. Research - if it has been said it will be on the internet. Ignorance is no longer a justifiable reason for buying the wrong thing. Take the time to research in detail everything that you could possible want to know about
3. Testimonials - don't know anybody that has bought a Present Value? Wrong! If the Present Value is good the internet will let you know. Use the Internet as a friend and get testimonials before you buy.
4. Questions - Got a question about Present Value then search the Forums, FAQ's, Blogs etc. Don't be afraid to ask .....
5. Reputation - Never heard of the company selling Present Value? Don't worry, no reason why you should know every company in the world, but you know someone that does! Use the internet to find out what people are saying about Present Value and build up a picture of their reputation for sales, returns, customer service, delivery etc.
6. Returns - still worried that even after all of the above your Present Value wont be what you want? Check out the returns policy. There is so much competition now that someone, somewhere is bound to offer the terms that you are comfortable with.
7. Feedback - happy with your Present Value then let people know, after all you are depending on others people input in your buying decision, so why not give a little back.
8. Security - check for the yellow padlock on the Present Value site before you buy, and the s after http:/ /i.e. https:// = a secure site
9. Contact - got a question about Present Value, or want to leave a comment then check out the sites contact page. Reputable companies have them and respond.
10. Payment - ready to pay for your Present Value, then use your credit card or PayPal! Be aware of companies that don't accept them, there may be genuine reasons but given the huge amount of choice you have when buying online there is no reason at all not to buy via credit card or PayPal.
Present value is the value on a given date of a future payment or series of future payments, discounted to reflect the
time value of money and other factors such as investment risk. Present value calculations are widely used in business and economics to provide a means to compare cash flows at different times on a meaningful "like to like" basis.
Calculation
The most commonly applied model of the time value of money is compound interest. To someone who has the opportunity to
investment an amount of money C for t years at a rate of interest of i% (where interest of "5
percent" is expressed fully as 0.05) compounded annually, the present value of the receipt of C, t years in the future, is:
C_t = C(1 + i)^{-t}\, = C / {(1+i)^ t} \
The expression (1 +
i)−
t enters almost all calculations of present value. Where the interest rate is expected to be different over the term of the investment, different values for i may be included; an investment over a two year period would then have PV (Present Value) of:
\mathrm{PV} = C(1+i_1)^{-1}\cdot(1+i_2)^{-1} \,
Present value is additive. The present value of a bundle of cash flows is the sum of each one's present value.
In fact, the present value of a cashflow at a constant interest rate is mathematically the same as the Laplace transform of that cashflow evaluated with the transform variable (usually denoted "s") equal to the interest rate. For discrete time, where payments are separated by large time periods, the transform reduces to a sum, but when payments are ongoing on an almost continual basis, the mathematics of continuous functions can be used as an approximation.
Choice of interest rate
The interest rate used is the risk-free interest rate. If there are no risks involved in the project, the expected rate of return from the project must equal or exceed this rate of return or it would be better to invest the capital in these risk free assets. If there are risks involved in an investment this can be reflected through the use of a risk premium. The risk premium required can be found by comparing the project with the rate of return required from other projects with similar risks. Thus it is possible for investors to take account of any uncertainty involved in various investments.
Annuities, perpetuities and other common forms
Many financial arrangements (including bond (finance), other
loans, leases, salaries, membership dues,
Annuity (financial contracts), straight-line depreciation charges) stipulate
structured payment schedules, which is to say payment of the same amount at regular time intervals. The term
annuity is often used in to refer to any such arrangement when discussing calculation of present value. The expressions for the present value of such payments are summations of
geometric series.
A cash flow stream with a limited number (
n) of periodic payments (
C), receivable at times 1 through
n, is an
annuity. Future payments are discounted by the periodic rate of interest (
i).The present value of this annuity is determined with this formula:
PV \,=\,\frac{C}{i}\cdot
A periodic amount receivable indefinitely is called a
perpetuity, although few such instruments exist. The present value of a perpetuity can be calculated by taking the limit of the above formula as
n approaches infinity. The bracketed term reduces to one leaving:
PV\,=\,\frac{C}{i}
These calculations must be applied carefully, as there are underlying assumptions:
- That it is not necessary to account for price inflation, or alternatively, that the cost of inflation is incorporated into the interest rate.
- That the likelihood of receiving the payments is high - or, alternatively, that the default risk is incorporated into the interest rate.
See time value of money for further discussion.
Present value formula
One hundred units 1 year from now at 5% interest rate is today worth:
{\rm Present\ value}=\frac{\rm future\ amount}{(1+{\rm interest\ rate})^{\rm term-->=\frac{100}{(1+.05)^1}=\ 95.23.
So the present value of 100 units 1 year from now at 5% is 95.23 units.
The above is in regard to a single lump sum amount. There is a separate formula to calculate PV of annuities. For present value of annuities, use this formula:
\mbox{PV annuity} = \frac{1-(1+r)^{-n-->{r}\cdot(\mbox{payment amount}).\,
Often, the present value formula is written in a simplified formula (for example, in textbooks on finance) as:
\mathrm{PV} = FV \cdot PVIF(r,n)\,
Similarly, the annuity formula is often simplified and written as follows:
PV = PMT \cdot PVIFA(r,n)
where:
n =number of periods
r = interest rate in the period
PV = present value at time 0
FV = future value at time
n
This simplified form is easier to present, and well-adapted to using financial tables, financial calculators and computer spreadsheets.
See also
External links
- Present Value of 1
- Present Value of an Ordinary Annuity
- Disk Lectures free MBA level audio lecture with slideshow on present value and discounted cash flow.
- Calculate present value using Microsoft Excel.
- calculate the PV with your own values to understand the equation
Present value is the value on a given date of a future payment or series of future payments, discounted to reflect the time value of money and other factors such as
investment risk. Present value calculations are widely used in business and economics to provide a means to compare cash flows at different times on a meaningful "like to like" basis.
Calculation
The most commonly applied model of the time value of money is compound interest. To someone who has the opportunity to
investment an amount of money C for t years at a rate of interest of i% (where interest of "5 percent" is expressed fully as 0.05) compounded annually, the present value of the receipt of C, t years in the future, is:
C_t = C(1 + i)^{-t}\, = C / {(1+i)^ t} \
The expression (1 +
i)−
t enters almost all calculations of present value. Where the interest rate is expected to be different over the term of the investment, different values for i may be included; an investment over a two year period would then have PV (Present Value) of:
\mathrm{PV} = C(1+i_1)^{-1}\cdot(1+i_2)^{-1} \,
Present value is additive. The present value of a bundle of
cash flows is the sum of each one's present value.
In fact, the present value of a cashflow at a constant interest rate is mathematically the same as the
Laplace transform of that cashflow evaluated with the transform variable (usually denoted "s") equal to the interest rate. For discrete time, where payments are separated by large time periods, the transform reduces to a sum, but when payments are ongoing on an almost continual basis, the mathematics of continuous functions can be used as an approximation.
Choice of interest rate
The interest rate used is the
risk-free interest rate. If there are no risks involved in the project, the expected rate of return from the project must equal or exceed this rate of return or it would be better to invest the capital in these risk free assets. If there are risks involved in an investment this can be reflected through the use of a risk premium. The risk premium required can be found by comparing the project with the rate of return required from other projects with similar risks. Thus it is possible for investors to take account of any uncertainty involved in various investments.
Annuities, perpetuities and other common forms
Many financial arrangements (including
bond (finance), other
loans,
leases, salaries, membership dues, Annuity (financial contracts), straight-line
depreciation charges) stipulate
structured payment schedules, which is to say payment of the same amount at regular time intervals. The term
annuity is often used in to refer to any such arrangement when discussing calculation of present value. The expressions for the present value of such payments are
summations of
geometric series.
A cash flow stream with a limited number (
n) of periodic payments (
C), receivable at times 1 through
n, is an
annuity. Future payments are discounted by the periodic rate of interest (
i).The present value of this annuity is determined with this formula:
PV \,=\,\frac{C}{i}\cdot
A periodic amount receivable indefinitely is called a
perpetuity, although few such instruments exist. The present value of a perpetuity can be calculated by taking the limit of the above formula as
n approaches infinity. The bracketed term reduces to one leaving:
PV\,=\,\frac{C}{i}
These calculations must be applied carefully, as there are underlying assumptions:
- That it is not necessary to account for price inflation, or alternatively, that the cost of inflation is incorporated into the interest rate.
- That the likelihood of receiving the payments is high - or, alternatively, that the default risk is incorporated into the interest rate.
See time value of money for further discussion.
Present value formula
One hundred units 1 year from now at 5% interest rate is today worth:
{\rm Present\ value}=\frac{\rm future\ amount}{(1+{\rm interest\ rate})^{\rm term-->=\frac{100}{(1+.05)^1}=\ 95.23.
So the present value of 100 units 1 year from now at 5% is 95.23 units.
The above is in regard to a single lump sum amount. There is a separate formula to calculate PV of annuities. For present value of annuities, use this formula:
\mbox{PV annuity} = \frac{1-(1+r)^{-n-->{r}\cdot(\mbox{payment amount}).\,
Often, the present value formula is written in a simplified formula (for example, in textbooks on finance) as:
\mathrm{PV} = FV \cdot PVIF(r,n)\,
Similarly, the annuity formula is often simplified and written as follows:
PV = PMT \cdot PVIFA(r,n)
where:
n =number of periods
r = interest rate in the period
PV = present value at time 0
FV = future value at time
n
This simplified form is easier to present, and well-adapted to using financial tables, financial calculators and computer spreadsheets.
See also
External links
- Present Value of 1
- Present Value of an Ordinary Annuity
- Disk Lectures free MBA level audio lecture with slideshow on present value and discounted cash flow.
- Calculate present value using Microsoft Excel.
- calculate the PV with your own values to understand the equation
Present value - Wikipedia, the free encyclopedia
Present value is the value on a given date of a future payment or series of future payments, discounted to reflect the time value of money and other factors such as investment risk ...
Net present value - Wikipedia, the free encyclopedia
Net present value (NPV) is a standard method for the financial appraisal of long-term projects. Used for capital budgeting, and widely throughout economics, it measures the excess ...
Adjusted present value
Adjusted present value. Adjusted present value (APV) is similar to NPV. The difference is that is uses the cost of equity as the discount rate (rather than WACC).
Present value
Present value. The present value of a stream of cashflows is its value, adjusted for risk and for the time value of money. Unlike an NPV, a present value does not include any ...
Present Value Brokerage Home
Brokers used IBM and OEM enterprise hardware assets. Located in South Africa.
Present value - definition of Present value by the Free Online ...
1. The principal which, drawing interest at a given rate, will amount to the given sum at the date on which this is to be paid; thus, interest being at 6%, the present value of ...
Definition: net present value from Online Medical Dictionary
The Online Medical Dictionary is a searchable dictionary of definitions from medicine, science and technology.
Galetovic, Alexander: Least-Present-Value-of Revenue Auctions and ...
Galetovic, Alexander: Least-Present-Value-of Revenue Auctions and Highway Franchising World Conference Econometric Society, 2000, Seattle
Present Value
Present Value Functionality: This applet provides a means of calculating Present Value given a desired Future Value. The Interest Rate that governs growth can be changed.
Net Present Value - NPV
Full explanation of this financial valuation and measurement concept, where and how it can be used. Includes links to more financial management tools.
