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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 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 ...
In this case, the answer is 25.48% (with this conventional pattern of cash flows, the project has a unique IRR). To calculate the MIRR, we will assume a finance rate of 10% and a reinvestment rate of 12%. First, we calculate the present value of the negative cash flows (discounted at the finance rate):
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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 ...
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.
This determines the number of days between two coupon payments, thus calculating the amount transferred on payment dates and also the accrued interest for dates between payments. [1] The day count is also used to quantify periods of time when discounting a cash-flow to its present value. When a security such as a bond is sold between interest ...
for each future cash flow (FV) at any time period (t) in years from the present time, summed over all time periods. The sum can then be used as a net present value figure. If the amount to be paid at time 0 (now) for all the future cash flows is known, then that amount can be substituted for DPV and the equation can be solved for r , that is ...