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You are the beneficiary of a life insurance policy. The insurance company informs you that you have two options for receiving the insurance proceeds. You

You are the beneficiary of a life insurance policy. The insurance company informs you that you have two options for receiving the insurance proceeds. You can receive a lump sum of $200,000 today or receive payments of $17,000 a year for 20 years. You can earn a 6-percent annual rate on your money. Which option should you take and why?

  1. You should accept the $200,000 lump sum because the annual payments are only worth $5,301 to you today.
  2. You should accept the $200,000 lump sum because the annual payments are only worth $19,499 to you today.
  3. You should accept the $200,000 lump sum because the annual payments are only worth $194,989 to you today.
  4. You should accept the annual payments because they are worth $2,293,984 to you.
  5. You should accept the annual payments because they are worth $211,858 to you.

Assume it is now January 1, 2020, and you have received the following four-year forecast for Rockness Company. Assume an income tax rate = 40%.

($ millions) for the years ending December 31,

2020

2021

2022

2023

Revenues

$ 460

$ 599

$ 781

$ 963

Operating expenses (excluding depreciation)

172

201

251

253

Annual investment in new fixed assets

345

207

230

230

Additional investment (recovery of) net working capital

46

115

(23)

10

Depreciation expense

58

98

140

230

What is the projected free cash flow for years 2020-2023?

2020

2021

2022

2023

a) Free cash flow

$ 138

$ 180

$ 234

$ 288

2020

2021

2022

2023

b) Free cash flow

$ 230

$ 300

$ 390

$ 480

2020

2021

2022

2023

c) Free cash flow

$ (195)

$ (44)

$ 167

$ 278

2020

2021

2022

2023

d) Free cash flow

$ (253)

$ (142)

$ 27

$ 48

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