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The NPV of a sequence of cash flows takes as input the cash flows and a discount rate or discount curve and outputs a present value, which is the current fair price. The converse process in discounted cash flow (DCF) analysis takes a sequence of cash flows and a price as input and as output the discount rate, or internal rate of return (IRR ...
The rate () is always bigger than d because the rate of discount convertible thly is applied in each subinterval to a smaller (already discounted) sum of money. As such, in order to achieve the same total amount of discounting the rate has to be slightly more than 1/pth of the annual rate of discount.
Using DCF analysis to compute the NPV takes as input cash flows and a discount rate and gives as output a present value. The opposite process takes cash flows and a price (present value) as inputs, and provides as output the discount rate; this is used in bond markets to obtain the yield.
The present value is usually less than the future value because money has interest-earning potential, a characteristic referred to as the time value of money, except during times of negative interest rates, when the present value will be equal or more than the future value. [1]
Determination of the after-tax NPV of the investment; Calculation of the after-tax NPV of the operating cost stream; Applying a sinking fund amortization factor to the after-tax amount of any salvage value. In mathematical notation, for assets subject to the general half-year rule of CCA calculation, this is expressed as:
A common method for evaluating a hurdle rate is to apply the discounted cash flow method to the project, which is used in net present value models. The hurdle rate determines how rapidly the value of the dollar decreases out in time, which, parenthetically, is a significant factor in determining the payback period for the capital project when ...
The accumulation function a(t) is a function defined in terms of time t expressing the ratio of the value at time t (future value) and the initial investment (present value). It is used in interest theory. Thus a(0)=1 and the value at time t is given by: = ().
Thus, internal rate(s) of return follow from the NPV as a function of the rate of return. This function is continuous. 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).