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	<~~math~~>~~R=\frac{EMV~~ - ~~BMV - C}{BMV +{C~~/~~2}}<~~/~~math>~~

	~~where~~
	* <~~math~~>~~BMV~~<~~/math~~> is the ~~starting value~~ of the ~~portfolio~~,
	* <~~math~~>~~EMV~~</~~math> is~~ the ~~ending value~~ of the ~~portfolio,~~
	* <~~math~~>R<~~/math~~> is the ~~portfolio rate of return~~, and
	* <~~math~~>C</~~math>~~ is the ~~net external inflow during~~ the ~~period (flows out~~ of the ~~portfolio~~ are ~~negative~~ and ~~flows~~ into the ~~portfolio are positive)~~.

	It is ~~based~~ on ~~the assumption~~ that ~~all external flows occur~~ at the ~~half~~-~~way point~~ in ~~time within~~ the ~~evaluation period (or~~ are ~~spread evenly across the period,~~ and so the ~~flows occur on average at~~ the ~~middle~~ of the ~~period)~~.

	~~== Discussion ==~~

	# The ~~simple Dietz method~~ is a ~~variation upon~~ the ~~simple rate of return, which assumes~~ that ~~external flows occur either~~ at the ~~beginning or~~ at ~~the end~~ of the ~~period~~. ~~The simple Dietz method is somewhat more computationally tractable than~~ the ~~[[internal rate~~ of ~~return]] (IRR) method~~.
	~~# A refinement of the simple Dietz method~~ is ~~the [[modified Dietz method]], which takes available information~~ on the ~~actual timing of external flows into consideration~~.
	~~# Like~~ the ~~modified Dietz method, the simple Dietz method~~ is ~~based~~ on ~~the assumption~~ of a ~~simple rate~~ of ~~return principle, unlike~~ the ~~internal rate~~ of ~~return method,~~ which ~~applies~~ a ~~compounding principle~~.
	~~# Also~~ like the ~~modified Dietz method, it is~~ a ~~money~~-~~weighted returns method (as opposed to~~ a ~~time-weighted returns method)~~. ~~In particular, if~~ the ~~simple Dietz returns on two portfolios over the same period are <math>R_1</math> and <math>R_2</math>, then the simple Dietz return on the combined portfolio containing the two portfolios~~ is the ~~weighted average~~ of the ~~simple Dietz return on~~ the ~~two individual portfolios: <math>R = w_1 \times R_1~~ + ~~w_2 \times R_2</math>~~. ~~The weights <math>w_1</math> and <math>w_2</math>~~ are ~~given by: <math>w_i = \frac{BMV_i~~ +~~\frac{C_i}{2}}{BMV_1~~ + ~~BMV_2~~ +~~\frac{C_1~~+~~C_2}{2}}</math>~~.

	== ~~See also ==~~
	* [[Internal rate of return]]
	* [[Modified Dietz method]]
	* [[Rate of ~~return]]~~

	~~== References ==~~
	~~<!--- See http://en~~.~~wikipedia.org/wiki/Wikipedia:Footnotes~~ on ~~how~~ to ~~create references using <ref></ref> tags which will then appear here automatically~~ -->
	~~{{Reflist}}~~

	~~[[Category:Articles created via~~ the ~~Article Wizard]]~~
	~~[[Category:Finance theories]]~~
	~~[[Category:Investment]]~~
	~~[[Category:Mathematical finance]]~~

en>Anrnusna at 14:57, 14 September 2013

2013-09-14T14:57:03Z

← Older revision		Revision as of 16:57, 14 September 2013
Line 1:		Line 1:
			The '''simple Dietz method''' is a means of measuring historical investment portfolio performance during a period of external flows into/out of the portfolio.<ref>Dietz, Peter O. ''Pension Funds: Measuring Investment Performance''. Free Press, 1966.</ref> The formula for the simple Dietz return is as follows:

			<math>R=\frac{EMV - BMV - C}{BMV +{C/2}}</math>

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			* <math>BMV</math> is the starting value of the portfolio,
			* <math>EMV</math> is the ending value of the portfolio,
			* <math>R</math> is the portfolio rate of return, and
			* <math>C</math> is the net external inflow during the period (flows out of the portfolio are negative and flows into the portfolio are positive).

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			== Discussion ==

			# The simple Dietz method is a variation upon the simple rate of return, which assumes that external flows occur either at the beginning or at the end of the period. The simple Dietz method is somewhat more computationally tractable than the [[internal rate of return]] (IRR) method.
			# A refinement of the simple Dietz method is the [[modified Dietz method]], which takes available information on the actual timing of external flows into consideration.
			# Like the modified Dietz method, the simple Dietz method is based on the assumption of a simple rate of return principle, unlike the internal rate of return method, which applies a compounding principle.
			# Also like the modified Dietz method, it is a money-weighted returns method (as opposed to a time-weighted returns method). In particular, if the simple Dietz returns on two portfolios over the same period are <math>R_1</math> and <math>R_2</math>, then the simple Dietz return on the combined portfolio containing the two portfolios is the weighted average of the simple Dietz return on the two individual portfolios: <math>R = w_1 \times R_1 + w_2 \times R_2</math>. The weights <math>w_1</math> and <math>w_2</math> are given by: <math>w_i = \frac{BMV_i +\frac{C_i}{2}}{BMV_1 + BMV_2 +\frac{C_1+C_2}{2}}</math>.

			== See also ==
			* [[Internal rate of return]]
			* [[Modified Dietz method]]
			* [[Rate of return]]

			== References ==
			<!--- See http://en.wikipedia.org/wiki/Wikipedia:Footnotes on how to create references using <ref></ref> tags which will then appear here automatically -->
			{{Reflist}}

			[[Category:Articles created via the Article Wizard]]
			[[Category:Finance theories]]
			[[Category:Investment]]
			[[Category:Mathematical finance]]

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