Use the appropriate table to compute the following:

1. You have always dreamed of taking a safari in Africa. What lump sum do you have to invest today to have the $22,000 needed for the trip in 5 years? Assume that you can invest the money at

a. 6%, compounded annually.

b. 10%, compounded annually.

c. 14%, compounded annually.

2. You are considering partial retirement. To do so you need to use part of your savings to supplement your income for the next 4 years. Suppose you need an extra $50,000 per year. What lump sum do you have to invest now to supplement your income for 4 years? Assume that your required rate of return is

a. 6%, compounded annually.

b. 10%, compounded annually.

c. 14%, compounded annually.

3. You just won a lump sum of $6,000,000 in a state lottery. You have decided to invest the winnings and withdraw an equal amount each year for 20 years. How much can you withdraw each year and have a zero balance left at the end of 20 years if you invest at

a. 4%, compounded annually?

b. 8%, compounded annually?

4. An NHL hockey player is offered the choice of two 4-year salary contracts, contract X for $2.85 million and contract Y for $2.72 million:

Which contract has the higher PV at 16% compounded annually? Show computations to support your answer.

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End of year 1 End of year 2 End of year 3 End of year 4 Total Contract X S 250,000 750,000 850,00) Contract Y S 550,000 820,000 650,000 700,000 S2,720,00X 1,000,0x S2.850.0X)