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Towards a rate of return of −100% the NPV approaches infinity with the sign of the last cash flow, and towards a rate of return of positive infinity the NPV approaches the first cash flow (the one at the present). Therefore, if the first and last cash flow have a different sign there exists an IRR. Examples of time series without an IRR:
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 , [ 3 ] which takes available information on the actual timing of external flows into consideration.
Example: Balanced mutual fund during boom times with regular annual dividends, reinvested at time of distribution, initial investment $1,000 at end of year 0, share price $14.21 Year 1 Year 2 Year 3 Year 4 Year 5 Dividend per share $0.26: $0.29: $0.30: $0.50: $0.53 Capital gain distribution per share $0.06: $0.39: $0.47: $1.86: $1.12 Total ...
So, if you expect to spend $40,000 in retirement each year and receive $20,000 in other sources of income, you would need $500,000 by the time you leave the workforce ($20,000 x 25 = $500,000 ...
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The modified Dietz method [1] [2] [3] is a measure of the ex post (i.e. historical) performance of an investment portfolio in the presence of external flows. (External flows are movements of value such as transfers of cash, securities or other instruments in or out of the portfolio, with no equal simultaneous movement of value in the opposite direction, and which are not income from the ...