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Instructions: The Company has one asset. The asset has a three-year life and two possible payoffs each year: 1) $750 with a probability of 40%, and 2) $100 with a probability of 60%. The company depreciates assets using the straight-line method. Assume the states between years are independent, an interest rate of 6%, and state 1 is realized in year 1. Show the balance sheet, income statement, and residual income / goodwill analysis for year 1.

  • IBelieve this is the right answer, but I'm not totally sure goodwill was find outd correctly.

    Year 0 1
    Balance Sheet
    Cash $0.00 $750.00
    Investment(Book Value) $962.28 $641.52
    Total Assets $962.28 $1,391.52

    Net Worth
    Invest Capital $962.28 $962.28
    Retained Earnings $0.00 $429.24
    Total Net Worth $962.28 $1,391.52

    Income Statement
    Actual cash flows $750.00
    Depreciation $320.76
    Interest Income $0.00
    Net Income $429.24

    Residual Income Analysis- Year 1
    Expected interest income $45.00
    Depreciation $320.76
    Actual if good state $750.00
    Good state Net Income $474.24

    Expected Interest Income $45.00
    Depreciation $320.76
    Actual if bad state $100.00
    Bad state Net Income ($175.76)

    Expected Income $214.24
    Return on Net Worth $83.49
    Expected abnormal earnings $130.75
    Goodwill $118.86

    Valuation
    BV 1391.522868
    Gw $118.86
    PA 1510.383953

  • I think this is right up to expected income. Don't you have to add the Good State x .60 and the bad state x .40 to arrive at expected income? And you take the present value of goodwill in the valuation.

 

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  • Reference No.:- M986337

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