1/ Suppose you have the following two investment choices. Which is better for you? multiple choices

a. Earn 15% per year for 10 years

b. Earn 10% per year for 5 years, then 20% per year for 5 more

c. Earn 20% per year for 5 years, then 10% per year for 5 more

2/ Suppose that you win a $100m lottery.

After you win, you learn that the lottery doesn't actually pay you $100m all at once, but instead it gives you 20 payments of $5m per year starting today (FYI - this is how most lotteries work, so you don't win as much as you think).

If your discount rate is 5%, what is the PV of the annual payments? Give it to the nearest million, so that 87.2 would be 87.

3/ In the prior question about the lottery, suppose they offer you a lump sum of $60m today. Which would an economist say you should take and why? multiple choices

a. The lump sum because it has a lower FV

b. The annual payments because they have a higher PV

c. The annual payments because they have a lower PV

d. The lump sum because it has a higher PV

4/ Suppose that we estimate that climate change will cause massive damages in 100 years. If the discount rate is 4%, how much should we be willing to spend today to prevent each $1 million in damage? multiple choices

a. $104,200

b. $19,800

c. $27,400

d. $61,100

5/ How would your answer to the prior question (#4) change if the discount rate was 2% instead? multiple choices

a. It would be 7 times higher

b. It would be twice as high

c. It would be 1/2 as large

d. It would be 17 times higher

e. It would be 1/7 as large