Exponential: Difference between revisions

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imported>Doug Williamson
m (Add category.)
imported>Doug Williamson
(Updates headings.)
 
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1. ''Maths - constant.''
1. ''Financial maths - constant.''


The exponential ''constant'' is a mathematical constant with a value of roughly 2.718282..., usually denoted by the letter ''e''.
The exponential ''constant'' is a mathematical constant with a value of roughly 2.718282..., usually denoted by the letter ''e''.




2. ''Maths - function.''
2. ''Financial maths - function.''


The related exponential ''function'' is ''e''<sup>x</sup> (''e'' to the power of x).  The exponential function in Excel is =EXP( ). The exponential function is the inverse of the natural logarithm.
The related exponential ''function'' is ''e''<sup>x</sup> (''e'' to the power of x).  The exponential function in Excel is =EXP( ). The exponential function is the inverse of the natural logarithm.
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Exponential ''growth'' means growth other than straight-line.   
Exponential ''growth'' means growth other than straight-line.   


For example the series 100, 200, 400... is growing exponentially.
For example, the series 100, 200, 400... is growing exponentially.




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Exponential ''decay'' means the reduction in a variable, for example over time, on a basis other than straight-line.  
Exponential ''decay'' means the reduction in a variable, for example over time, on a basis other than straight-line.  


For example the reduction in the time value of an option, as its remaining time to maturity expires.
For example, the reduction in the time value of an option, as its remaining time to maturity expires.




== See also ==
== See also ==
* [[Exponential function]]
* [[Exponential function]]
* [[Financial maths]]
* [[Natural logarithm]]
* [[Natural logarithm]]
* [[Option]]
* [[Time value]]
* [[Time value]]


[[Category:The_business_context]]
[[Category:The_business_context]]

Latest revision as of 19:32, 25 March 2021

1. Financial maths - constant.

The exponential constant is a mathematical constant with a value of roughly 2.718282..., usually denoted by the letter e.


2. Financial maths - function.

The related exponential function is ex (e to the power of x). The exponential function in Excel is =EXP( ). The exponential function is the inverse of the natural logarithm.


3. Growth.

Exponential growth means growth other than straight-line.

For example, the series 100, 200, 400... is growing exponentially.


4. Decay.

Exponential decay means the reduction in a variable, for example over time, on a basis other than straight-line.

For example, the reduction in the time value of an option, as its remaining time to maturity expires.


See also