Cash Flow Streams, cash flow business.#Cash #flow #business


Cash Flow Streams

The Present Value of a Cash Flow Stream is equal to the sum of the Present Values of the individual cash flows. To see this, consider an investment which promises to pay $100 one year from now and $200 two years from now. If an investor were given a choice of this investment or two alternative investments, one promising to pay $100 one year from now and the other promising to pay $200 two years from now, clearly, he would be indifferent between the two choices. (Assuming that the investments were all of equal risk, i.e., the discount rate is the same.) This is because the cash flows that the investor would receive at each point in time in the future are the same under either alternative. Thus, if the discount rate is 10%, the Present Value of the investment can be found as follows:

PV = $100/(1 + 0.10) + $200/(1 + 0.10) 2

PV = $90.91 + $165.29 = $256.20

The following equation can be used to find the Present Value of a Cash Flow Stream.

Cash flow business

where

  • PV = the Present Value of the Cash Flow Stream,
  • CFt = the cash flow which occurs at the end of year t,
  • r = the discount rate,
  • t = the year, which ranges from zero to n, and
  • n = the last year in which a cash flow occurs.

Find the Present Value of the following cash flow stream given that the interest rate is 10%.

Cash flow business

Cash flow business

Future Value

The Future Value of a Cash Flow Stream is equal to the sum of the Future Values of the individual cash flows. For example, consider an investment which promises to pay $100 one year from now and $200 two years from now. Given that the discount rate is 10%, the Future Value at the end of year 2 of the investment can be found as follows:

As of year 2, the $100 received at the end of year 1 would have earned interest for one year while the $200 received at the end of year 2 would not yet have earned any interest. Thus, the Future Value at the end of year 2, i.e., immediately after the $200 cash flow was received, is $310.00.

The following equation can be used to find the Future Value of a Cash Flow Stream at the end of year t.

Cash flow business

where

  • FVt = the Future Value of the Cash Flow Stream at the end of year t,
  • CFt = the cash flow which occurs at the end of year t,
  • r = the discount rate,
  • t = the year, which ranges from zero to n, and
  • n = the last year in which a cash flow occurs.

Find the Future Value at the end of year 4 of the following cash flow stream given that the interest rate is 10%.

Cash flow business

Cash flow business

Cash flow business


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