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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):
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 ...
The "risk-free" rate on US dollar investments is the rate on U.S. Treasury bills, because this is the highest rate available without risking capital. The rate of return which an investor requires from a particular investment is called the discount rate, and is also referred to as the (opportunity) cost of capital.
Management fees are effectively a risk-free claim and should be discounted at a rate close to the risk-free rate. Second, the numerator contains the total proceeds net of carried interest. The carried interest is effectively a call option, making the LP's total payoff at maturity less risky than the underlying asset.
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.
Time value of money problems involve the net value of cash flows at different points in time. In a typical case, the variables might be: a balance (the real or nominal value of a debt or a financial asset in terms of monetary units), a periodic rate of interest, the number of periods, and a series of cash flows. (In the case of a debt, cas
Flowchart for a typical DCF valuation, with each step detailed in the text (click on image to see at full size) Spreadsheet valuation, using free cash flows to estimate the stock's fair value, and displaying sensitivity to WACC and perpetuity growth (click on image to see at full size)