ba ii plus future value of uneven cash flows


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  • How do you calculate the future value of a cash flow series?

    If our total number of periods is N, the equation for the future value of the cash flow series is the summation of individual cash flows: When cash flows are at the beginning of each period there is an additional period required to bring the value forward to a future value.

  • What is the future value of uneven cash flows?

    The future value of uneven cash flows is the sum of future values of each cash flow. It can also be called “terminal value.” Unlike annuities where the amount of payment is constant, many financial instruments and assets generate cash flows that can vary from period to period.

  • How to calculate the present value of a series of unequal cash flows?

    First, we need to find the PV of the perpetuity at the 5 th time (because a regular annuity payment occurs at the end of a period) and then discount it to time 0. That is: Just like calculating future values, the present value of a series of unequal cash flows is calculated by summing individual present values of cash flows.

  • What is future value factor of CF0 & CFN?

    Please note that CF0 is compounded for the whole n periods and CFn is compounded for 0 periods, hence it has future value factor of 1. When a cash flow stream is uneven, the present value (PV) and/or future value (FV) of the stream are calculated by finding the PV or FV of each individual cash flow and adding them up.

Future Values

The Future Value (FV) of a Single Sum of Cash Flow The Future Value (FV) of a single sum of money is the amount that money invested today at a given interest rate (r) for a specified period will translate into in future. Denoted by FVNFVN, the future value of a single sum of money is given by: FVN=PV(1+r)NFVN=PV(1+r)N Where: PVPV = Present value of the investment. FVNFVN= Future value of the investment N periods from today. rr = Rate of interest per period. NN= Number of periods (Years). Note that the formula above is based on the time value

Annuity Due

Annuity due is a type of annuity where payments start immediately at the beginning of time, at time t = 0. In other words, payments are made at the beginning of each period. The formula for the future value of an annuity due is derived by: FVN=A[(1+r)N+(1+r)N–1+(1+r)N−2+…+(1+r)1] Which reduces to: FVN=A[(1+r)N–1d] Where: d=r1+r analystprep.com

Present Values

Present Values of Single Cashflow The present value (PV) is the current value of a future sum of money (Future value, FV) or series of cashflows given a specified rate of return. Note that the future value of a single sum of money is given by: FVN=PV(1+r)N If we make the present value (PV) the subject of the formula by dividing both sides of the above equation by FVN(1+r)N=PV(1+r)N(1+r)N ⇒PV=FVN(1+r)−N Where: PV = Present value of the investment. FVN = Future value of the investment N periods from today. r = Rate of interest

Present Value of A Series of Cashflows

Many investments offer a series of uneven, relatively even, or unequal payments over a given period. Therefore, different methodologies are employed in the valuation of their present values. analystprep.com

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