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You have won a contest and are allowed to choose between two prizes. One option is to receive $200 now and another $200 a year from now. The second option is $150 now and $255 a year from now.
(i) At what level of interest rate (if any) is the present value of the two prizes identical?
(ii) If the actual interest rate is below the number you found in your answer above, which of the two options is characterized by higher present value? Explain.
In June, Leslie wins a cash prize of $2,000. She plans to use this money to pay her tuition bill in September. Leslie puts this money in a savings a savings account because her mai
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(b) Suppose that the initial conditions are as follows: y0 = 0 and et = 0 for t= 0. Impose the initial conditions in order to find the general solution.
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