Science Fair Project Encyclopedia
In finance, discounting is the process of finding the current value of an amount of cash at some future date, and along with compounding cash form the basis of time value of money calculations. The discounted value of a cash flow is determined by reducing its value by the appropriate discount rate for each unit of time between the time when the cashflow is to be valued to the time of the cash flow. Most often the discount rate is expressed as an annual rate.
To calculate the net present value of a single cash flow, it is divided by one plus the interest rate for each period of time that will pass. This is expressed mathematically as raising the divisor to the power of the number of units of time.
For example: You want to find the net present value of $100 that will be received in five years time. What is it worth now? What amount of money, if you let it grow at the discount rate, would equal $100 in five years?
We will assume a 12% per year discount rate.
NPV = 100 dollars divided by 1 plus 12% (0.12) divided by 1 plus 12% (0.12), etc.
Since 1.125 is about 1.762, the net present value is about $56.74.
The discount rate used in financial calculations is usually chosen to be equal to the cost of capital. Some adjustment may be made to the discount rate to take account of risks associated with uncertain cashflows.
The discount factor', P(T), is the number by which a future cash flow to be received at time T must be multiplied in order to obtain the current present value. Thus for a fixed annually compounded discount rate r we have
For a fixed continuously compounded discout rate r we have
- P(T) = e - rT
- List of marketing topics
- List of management topics
- List of economics topics
- List of accounting topics
- List of finance topics
- List of economists
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details