Answer:
option 1
$1,381,644.80
Explanation:
Alex would choose the option that has the highest present value
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
pv of option 2
Cash flow in year 0 = 20,000
Cash flow in year 1 - 6 = $8,000
i = 6%
PV = 59,338.60
OPTION 3
Cash flow in year 1 - 6 = 13,000
i - 6%
pv = 63,925.22
option 1 has the highest present value and should be chosen
To find the PV using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
2.
future value of an annuity = Annual payment x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
(1.07^10 - 1 ) / 0.07 = 13.816448
13.816448 x 100,000 = $1,381,644.80
