Question

Intro It is the end of 2019. 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 2020 2021 2022 2023 2024 Cash flow 1,000 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 10%. Attempt 1/5 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 5 to 8. Attempt 1/5 for 10 pts.

Part 2 You also want to know how much each gift will be worth in 2024 if you save it. Add another row to your spreadsheet and calculate the value of each cash flow in 2024. What is the sum of all future values? Attempt 1/5 for 8 pts.

Part 3 What is the present value of the sum of future values calculated in the previous part? Attempt 1/5 for 10 pts.

Part 4 Now assume that the interest rate is 8%. What is the present value of all the gifts? Attempt 1/5 for 10 pts.

Part 5 Still assume that the interest rate is 8%. What is the future value of all the gifts? Attempt 1/5 for 10 pts.

Part 6 Now assume that the interest rate is 14%. What is the present value of all the gifts? Attempt 1/5 for 10 pts.

Part 7 Still assume that the interest rate is 14%. What is the future value of all the gifts?

Answer 1

Part 1]

Sum of present values = $6,947.41

Part 2]

sum of all future values = $10,171.70

Part 3]

Present value = future value / (1 + interest rate)^{number of years}

Present value =  $10,171.70 / (1 + 10%)⁴

Present value =  $6,947.41

Part 4]

Sum of present values = $7,229.42

Part 5]

Sum of future values = $9,835.55