Problem 12

Intro

It is the end of 2022. You plan to complete a Ph.D. in 5 years. Your favorite uncle has promised to help you with your school expenses by giving you the following amounts for Christmas:

Year	2023	2024	2025	2026	2027
Cash flow	1,300	1,600	1,800	2,000	2,200

Your uncle is fairly wealthy and very reliable. You currently have $10,000 in a savings account paying an annual interest rate of 7%.

Attempt 1/10 for 10 pts.

Part 1

Create an Excel spreadsheet showing the years and cash flows as in the table above, then add a row that shows the number of years from now and another row that shows the present value of each cash flow. What is the sum of present values?

Hint: do not hardcode the discount rate into your formulas. Instead, keep it in a separate cell and refer back to it. You'll be asked to change in discount rate in parts 4 to 7.

Attempt 1/10 for 10 pts.

Part 2

You also want to know how much each gift will be worth in 2027 if you save it. Add another row to your spreadsheet and calculate the value of each cash flow in 2027. What is the sum of all future values?

Attempt 1/10 for 10 pts.

Part 3

What is the present value of the sum of future values calculated in the previous part?

Attempt 1/10 for 10 pts.

Part 4

Now assume that the interest rate is 5%. What is the present value of all the gifts?

Attempt 1/10 for 10 pts.

Part 5

Still assume that the interest rate is 5%. What is the future value of all the gifts?

Attempt 1/10 for 10 pts.

Part 6

Now assume that the interest rate is 11%. What is the present value of all the gifts?

Attempt 1/10 for 10 pts.

Part 7

Still assume that the interest rate is 11%. What is the future value of all the gifts?