In: Finance
What is the Time Value of Money and how do financial managers use it to make business decisions?
According to the time value of money, money earned today is | |||||||
worth more than money earned in the future. | |||||||
Money is worth more today because money can be invested | |||||||
today and that money can grow over time depending on what the | |||||||
interest rate is. | |||||||
In other words, if you know the future cash flow you can discount it | |||||||
to the present using the given interest rate. | |||||||
For example, if a financial manager has to decide between two investments | |||||||
that generate cash flows in the future and have the same initial investment. The discount rate is 12%. | |||||||
Present Value = Future value/ ((1+r)^t) | |||||||
where r is the interest rate that is 12% and t is the time period in years. | |||||||
PROJECT A | |||||||
Year | 1 | 2 | 3 | 4 | |||
cash flow | 8000 | 6000 | 7000 | 6600 | |||
present value of future cash flow | 7142.857 | 4783.163 | 4982.462 | 4194.419 | |||
Sum of present values | 21102.9 | ||||||
The present value of the future cash flows is $21102.9. | |||||||
PROJECT B | |||||||
Year | 1 | 2 | 3 | 4 | |||
cash flow | 18000 | 11000 | 12000 | 14000 | |||
present value of future cash flow | 16071.43 | 8769.133 | 8541.363 | 8897.253 | |||
Sum of present values | 42279.18 | ||||||
The present value of the future cash flows is $42279.18. | |||||||
Since the present value of future cash flows for project B is greater than the present | |||||||
value of future cash flows for project A, the financial manager | |||||||
will choose project B over project A. |