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阿sir 給我們的功課,好快要交,但我唔太明阿sir 問咩...請各位幫下手!!!麻煩麻煩!Q1: You have won the Mark Six and the Lottery Officials offer you the choice of the following alternative payouts:Alternative 1: $10,000,000 one year from nowAlternative 2: $20,000,000 five year from nowa. Which alternative should you choose if the... 顯示更多 阿sir 給我們的功課,好快要交,但我唔太明阿sir 問咩... 請各位幫下手!!!麻煩麻煩! Q1: You have won the Mark Six and the Lottery Officials offer you the choice of the following alternative payouts: Alternative 1: $10,000,000 one year from now Alternative 2: $20,000,000 five year from now a. Which alternative should you choose if the discount rate is 10%? b. What discount rate makes the two alternative equally attractive to you? Q2: Assuming an interest rate of 10%, calculate the present value of the following stream of yearly payments: "$2,420 per year forever, with the first payment three years from today"

 

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Q1: a)You should choose the second option. Option one: $10,000,000 / 1.1 = $9,090,909.1 Option two: $20,000,000 / 1.1 = $18,181,818 b) $10,000 / (1 + r) = $20,000 / (1 + r)5 (1 + r)4 = $20,000 / $10,000 = 2 1 + r = 1.18921 r = 0.18921 =18.921% Q2: $2,420 / 0.1 = $24,200 is the value two years from now of the perpetual stream. Thus, the value of the perpetuity is $24,200 / 1.12 = $20,000.

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