Compound interest formula
Tells us how much money we will have tomorrow, given interest rate and time
Money in
Time (years)
Rate (1%)
Money out
20.0
5
1%
21.0
Discounting in Excel
Tells us how much money tomorrow is worth to us today
Money out
Time (years)
Rate (1%)
Money in
60.0
5
10%
37.3
From DCF to NPV
Subtract the cost of the initial investment to get from DCF to NPV
DCF
Initial investment cost
Net present value (NPV)
37.3
20.0
17.3 Correct
Problems with the NPV formula
Subtracts the first cash flow you point it to: whether you want it to or not
a) wrong answer
Discount rate
Cash flows
Use of the NPV formula
10%
t0
t1
t2
t3
t4
-20.0
0.0
0.0
0.0
0.0
15.7 Wrong: NPV formula discounts the first 20m
b) correct answer
Discount rate
Cash flows
Use of the NPV formula
Initial investment cost
NPV
10%
t0
37.3
20.0
17.3 Correct
t1
0.0
t2
0.0
t3
0.0
t4
0.0
t5
60.0
first 20m
t5
60.0