Question
Problem 4 You have just won a lottery of $1 million and you can choose among the following three payout options.The effective annual interest rate
Problem 4
You have just won a lottery of $1 million and you can choose among the following three payout options.The effective annual interest rate (EAR) is 5%.
Option A: $200,000 right now and $100,000 every two years, starting 2 years from now and ending 16 years from now.
Option B: $100,000 a year at the end of the next 10 years, with the first payment one year from today.
Option C: Twenty annual payments of $40,000 and a 21stpayment of $200,000.The first payment is made right now. The 21stpayment is due 20 years from now.
Please calculate the present values of all three options. Which option should you choose?
Problem 5
Today is January 1, 2019, and your friend Arnold Armstrong signs a 4-year contract to play for a minor league football team.He will receive $300,000 for 2019, $500,000 for 2020, $700,000 for 2021, and $900,000 for 2022. All payments are made at theendof year.Assume 10% annual interest rate (EAR).
a.What is the present value of his contract?
b.If instead of annual payments he wants equal dollar amount month-end cheques over his contract period, starting January 31, 2019, how large is his monthly pay?
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