In: Finance
om Alexander has an opportunity to purchase any of the investments shown in the following? table,The purchase? price, the amount of the single cash? inflow, and its year of receipt are given for each investment. Which purchase recommendations would you? make, assuming that Tom can earn? 10% on his? investments?
$5,000 $10,718 7
$150 $1,110 22
$950 $3,280 12
$250 $12,446 42
Since all the investments options have different investment amount, hence profitablity index method will be most suitable here to evaluate the investment proposals.
(i)
Purchase price = $5,000
Cash inflow = $10,718
Time = 7 years
Present value of cash inflow = Cash inflow x PVF(10%, 7)
= 10,718 x 0.513
= $5,498
Profitability index = Present value of cash inflows/ Present value of cash outflows
= 5,498/5,000
= 1.100
(ii)
Purchase price = $150
Cash inflow = $1,110
Time = 22 years
PVF = 1/(1 + r)n
= 1/(1 + 0.10)22
= 1/(1.10)22
= 1/8.14
= 0.123
Present value of cash inflow = Cash inflow x PVF(10%, 22)
= 1,110 x 0.123
= $136
Profitability index = Present value of cash inflows/ Present value of cash outflows
= 136/150
= 0.91
(iii)
Purchase price = $950
Cash inflow = $3,280
Time = 12 years
Present value of cash inflow = Cash inflow x PVF(10%, 12)
= 3,280 x 0.319
= $1,046
Profitability index = Present value of cash inflows/ Present value of cash outflows
= 1,046/950
= 1.102
(iv)
Purchase price = $250
Cash inflow = $12,446
Time = 42 years
PVF = 1/(1 + r)n
= 1/(1 + 0.10)42
= 1/(1.10)42
= 1/54.76
= 0.018
Present value of cash inflow = Cash inflow x PVF(10%, 22)
= 12,446 x 0.018
= $225
Profitability index = Present value of cash inflows/ Present value of cash outflows
= 225/250
= 0.90
Conclusion- Since profitability index of third investment option is highest, hence third investment proposal should be chosen by Tom