1. Apple revenues were $5.941billion in 1998 and $365.82 billion in 2021. What rate did Apple revenues grow from 1998 to 2021 (23 years)?

2. Apple revenues were $5.941 billion in 1998. The companys revenues grew at 0.84% from 1990 to 1998 (8 years). What were Apple revenues in 1990?

3. If Apple were to grow at the rate derived in Q1 from 2021 to 2035 what would the companys annual revenues be for fiscal 2035 (14 years later)?

4. If Apple conveyed to stock analysts that follow the company that revenue would grow at 10.5% per year for the foreseeable future how long (in years) would it take Apple to achieve double their 2021 revenues of $365.82 billion?

5. How much would you pay today to receive $5,000 per month for the next 20 years assuming a 4% rate of return?

6. If you were to invest $800 per month for the next 40 years, how much money would you have saved up assuming a 7.5% rate of return? Please note that you are starting at $0.

7. You have taken out a $500,000 30-year fixed rate mortgage with a 4.5% interest rate. What is your monthly payment on the loan?

8. You are considering a job offer to work for a 3-year period. Would you rather receive $300,000 today or $115,000 each year at the end of the year for the next 3 years? Assume a required rate of return is 8.0%.

9. A company can invest in new Equipment that will yield $25,000 in additional profits for 6 years and the companys discount rate = 10%. What is the maximum amount that you recommend that they would pay for this Equipment?

10. If you pay in $12,000 per year for 30 years to Social Security, what will the balance be that is attributed to your savings assuming a 5% return?

11. Given your answer to 10 above, assume that you opt to take monthly payments over 25 years and that you can earn 4% on your money. Also assume your SS balance will be $0 at the end of the 25 years.

    1. How much should your monthly payment be?

    2. What would the monthly payment be if you wanted to still have $500,000 at the end of the 25 years?

12. A factory costs $400,000. You forecast that it will produce cash inflows of $120,000 in Year 1, $180,000 in Year 2 and $300,000 in Year 3. The discount rate is 12.0%.

1. What is the NPV?

2. What is the IRR?

3. Is the factory a good investment?

13. If a project has an upfront investment of $1,200,000 and cash flows of $250,000 in Year 1, $300,000 in Year 2, $350,000 in Year 3 and $500,000 in Year 4. The discount rate = 11%.

1. What is the NPV?

2. What is the IRR?

3. What is the Payback Period?