In: Accounting
Broxton Group, a consumer electronics conglomerate, is reviewing
its annual budget in wireless technology. It is considering
investments in three different technologies to develop wireless
communication devices. Consider the following cash flows of the
three independent projects. Assume the discount rate is 10 percent.
Further, the company has only $22 million to invest in new projects
this year.
Cash Flows (in $ millions)
Year | L6 | G5 | Wi-Fi | ||||||
0 | −$ | 7.0 | −$ | 15 | −$ | 22 | |||
1 | 12.0 | 12 | 19 | ||||||
2 | 9.5 | 26 | 35 | ||||||
3 | 4.5 | 22 | 22 | ||||||
a. Calculate the profitability index for each
investment. (Do not round intermediate calculations and
round your answers to 2 decimal places, e.g.,
32.16.)
Profitability index | |
L6 | 3.16 3.16 Correct |
G5 | 3.26 3.26 Correct |
Wi-Fi | 2.85 2.85 Correct |
b. Calculate the NPV for each investment.
(Enter your answers in dollars, not millions of dollars. Do
not round intermediate calculations and round your answers to 2
decimal places, e.g., 1,234,567.89.)
NPV | |
L6 | $ 8.14 8.14 Incorrect |
G5 | $ 18.92 18.92 Incorrect |
Wi-Fi | $ 18.72 18.72 Incorrect |
Solution a& b:
Computation of NPV & Profitability Index | ||||||||
L6 | G5 | Wifi | ||||||
Particulars | Period | PV Factor (10%) | Amount | Present Value | Amount | Present Value | Amount | Present Value |
Cash outflows: | ||||||||
Initial investment | 0 | 1 | $7,000,000.00 | $7,000,000.00 | $15,000,000.00 | $15,000,000.00 | $22,000,000.00 | $22,000,000.00 |
Present Value of Cash outflows (A) | $7,000,000.00 | $15,000,000.00 | $22,000,000.00 | |||||
Cash Inflows | ||||||||
Year 1 | 1 | 0.909091 | $12,000,000.00 | $10,909,090.91 | $12,000,000.00 | $10,909,090.91 | $19,000,000.00 | $17,272,727.27 |
Year 2 | 2 | 0.826446 | $9,500,000.00 | $7,851,239.67 | $26,000,000.00 | $21,487,603.31 | $35,000,000.00 | $28,925,619.83 |
Year 3 | 3 | 0.751315 | $4,500,000.00 | $3,380,916.60 | $22,000,000.00 | $16,528,925.62 | $22,000,000.00 | $16,528,925.62 |
Present Value of Cash Inflows (B) | $22,141,247.18 | $48,925,619.83 | $62,727,272.73 | |||||
Net Present Value (NPV) (B-A) | $15,141,247.18 | $33,925,619.83 | $40,727,272.73 | |||||
Profitability Index (PV of cash inflows / PV of cash outflows) (B/A) | 3.16 | 3.26 | 2.85 |