Question

In: Finance

How do you or other people use the present-value formula to make decisions?

How do you or other people use the present-value formula to make decisions?

Solutions

Expert Solution

Present Value is the Total Equivalent Value of All Future Values as on TODAY.

Whenever, there are different alternative, with different time durations or number of payments and/or different cash flows at different time durations, Net Present Value should be calculated to compare which alternative is Better.

For Exapmle,

Alternative 1: CF at Year 1 = 5000, CF at Year 2 = 10000, CF at Year 3 = 8000

Alternative 2: CF at Year 1 = 4000, CF at Year 2 = 8000, CF at Year 3 = 11000

Interest Rate = 10%

Total of All 3 years Cash Flows for both Alternative is 23000, But they are occuring at different times.

Year Cash Flow Discountig Factor
[1/(1.1^period)]
PV of cash flows
(cash flow*discounting factor)
1 5000 0.909090909 4545.454545
2 10000 0.826446281 8264.46281
3 8000 0.751314801 6010.518407
NPV of Alternative 1=
Sum of PVs
18820.43576
Year Cash Flow Discountig Factor
[1/(1.1^period)]
PV of cash flows
(cash flow*discounting factor)
1 4000 0.909090909 3636.363636
2 8000 0.826446281 6611.570248
3 11000 0.751314801 8264.46281
NPV of Alternative 2=
Sum of PVs
18512.39669

From above, it can be said that, Net Present Value of Alternative 2 is Lower compared to Alternative 1. Therefore, Decision can be taken accordingly.


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