TI-BASIC:Eff - Revision history

Maintenance script: Automated internal link correction

2016-02-24T23:55:07Z

Automated internal link correction

← Older revision		Revision as of 23:55, 24 February 2016
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	= Related Commands =		= Related Commands =

	* [[TI-BASIC:~~►Nom(~~\|►Nom(]][[Category:TI-BASIC]]		* [[TI-BASIC:Nom\|►Nom(]][[Category:TI-BASIC]]
	[[Category:TIBD]]		[[Category:TIBD]]

KermMartian at 19:27, 24 February 2016

2016-02-24T19:27:56Z

← Older revision		Revision as of 19:27, 24 February 2016
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	The formula for converting from a nominal rate to an effective rate is:		The formula for converting from a nominal rate to an effective rate is:

	~~[[TI-BASIC:Math\|Math]]~~		<math>
	\definecolor{darkgreen}{rgb}{0.90,0.91,0.859}\pagecolor{darkgreen}		\definecolor{darkgreen}{rgb}{0.90,0.91,0.859}\pagecolor{darkgreen}
	\operatorname{Eff}=100\left(\left(1+\frac{\operatorname{Nom}}{100 \operatorname{CP}}\right)^{\operatorname{CP}}-1\right)		\operatorname{Eff}=100\left(\left(1+\frac{\operatorname{Nom}}{100 \operatorname{CP}}\right)^{\operatorname{CP}}-1\right)
	~~[[TI-BASIC:~~/math~~\|/math]]~~		</math>

	Here, Eff is the effective rate, Nom is the nominal rate, and CP is the number of compounding periods.		Here, Eff is the effective rate, Nom is the nominal rate, and CP is the number of compounding periods.

Maintenance script: Initial automated import

2016-02-24T18:38:36Z

Initial automated import

New page

{{Template:TI-BASIC:Command
|picture=EFF.GIF
|summary=Converts a nominal interest rate to an effective interest rate.
|syntax=►Eff(''interest rate'',''compounding periods'')
|location=On the TI-83, press:
# 2nd FINANCE to access the finance menu.
# ALPHA C to select ►Eff(.

On the TI-83+ or higher, press:
# APPS to access the applications menu.
# ENTER or 1 to select Finance...
# ALPHA C to select ►Eff(.
|compatibility=TI-83/84/+/SE
|size=2 bytes
}}

The ►Eff( command converts from a nominal interest rate to an effective interest rate. In other words, it converts an interest rate that does not take into account compounding periods into one that does. The two arguments are 1) the interest rate and 2) the number of compounding periods.

For example, take an interest rate of 7.5% per year, compounded monthly. You can use ►Eff( to find out the actual percent of interest per year:

►Eff(7.5,12)
7.663259886

= Formulas =

The formula for converting from a nominal rate to an effective rate is:

[[TI-BASIC:Math|Math]]
\definecolor{darkgreen}{rgb}{0.90,0.91,0.859}\pagecolor{darkgreen}
\operatorname{Eff}=100\left(\left(1+\frac{\operatorname{Nom}}{100 \operatorname{CP}}\right)^{\operatorname{CP}}-1\right)
[[TI-BASIC:/math|/math]]

Here, Eff is the effective rate, Nom is the nominal rate, and CP is the number of compounding periods.

= Error Conditions =

* '''[[TI-BASIC:Errors#domain|ERR:DOMAIN]]''' is thrown if the number of compounding periods is not positive, or if the nominal rate is -100% or lower (an exception's made for the nominal rate if there is only one compounding period, since ►Eff(X,1)=X)

= Related Commands =

* [[TI-BASIC:►Nom(|►Nom(]][[Category:TI-BASIC]]
[[Category:TIBD]]