Question

In: Accounting

Broxton Group, a consumer electronics conglomerate, is reviewing its annual budget in wireless technology. It is...

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

Solutions

Expert Solution

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

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