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QUESTION 1: Today is May 1, 2016. Elmaan Ngyuen has just been drafted by the Toronto Raptors. He will be earning $3,000,000 for 2016, $4,000,000 per year from 2017 to 2020, $5,000,000 per year from 2021 to 2026, $6,000,000 per year from 2027 to 2033, $4,000,000 for 2034, $3,000,000 for 2035, and $2,000,000 for 2036. Assume all payments are made on December 31; therefore first payment will be on December 31, 2016. Assume the discount rate of 9.7618% per year compounded semiannually till the end of year 2026, and 7.7706% per year compounded quarterly from 2027 to 2036.
a. Determine the present value of the above payments on May 1, 2016.
b. If he were to receive an equal annual salary at the end of each of the year 2016 to 2026 (11 payments) then what would that salary be? Assume the first payment is on Dec 31, 2016.
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