P$9-11($Algo$)$ Comparing Options Using Present Value Concepts LO$9-7$

After hearing a knock at your front door, you are surprised to see the Prize Patrol from your state's online lottery agency. Upon opening

your door, you learn you have won the lottery of $$18\mathrm{.}0$ million. You discover that you have three options: $(1)$ you can receive $$1\mathrm{.}80$

million per year for the next $12$ years, $(2)$ you can have $$15\mathrm{.}5$ million today, or $(3)$ you can have $$4\mathrm{.}6$ million today and receive $$1\mathrm{.}30$

million for each of the next $10$ years. Your lawyer tells you that it is reasonable to expect to earn an annual return of $10$ percent on

investments.

Required:

What is the present value of the above options? $($FV of $$1,$ PV of $$1,$ FVA of $$1,$ and PVA of $$1)$

Note: Use appropriate factor$($s$)$ from the tables provided.

Which option do you prefer?

Complete this question by entering your answers in the tabs below.

What is the present value of the above options?

Note: Enter your answers in whole dollar not in millions $($i$.$e$.,1,000,000$ not $1\mathrm{.}0),$ rounded to nearest whole dollar.