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Step 7 only please. Thank you! Introduction You are a financial planner and a new client, Kristina came to your office with the following question:

Step 7 only please. Thank you!

Introduction

You are a financial planner and a new client, Kristina came to your office with the following question: How much should she save annually given her goals?

  • Kristina is saving for two goals: one is to fund her child Katrynas college education and the other is to retire.
  • Katryna will begin college in exactly 18 years, and Kristina will retire on the same day.
  • College costs for state institutions are currently running at $6,000 per year, and have historically increased at a rate of 5% per year.
  • Kristina will pay for a 4-year undergraduate education.
  • Kristina estimates she will live 30-year past her retirement, during which time she would like to pay herself a $60,000 per year salary (first payment occurs at the end of year 18, or beginning of year 19).
  • On the day she retires, Kristina would like to pay cash for a BMW Z4 convertible or whatever similar model BMW produces at that time. A Z4 cost $55,000 and BMW has increased price at a rate of 7% per year.
  • Kristina will save annually beginning in exactly one year18 equal payments spread over time.
  • The date of the last savings installment coincides with the first tuition payment (and the day of Kristina retirement).
  • Kristina estimates an 8% expected return on all investments over the period.
  • How much does she have to save each year to accomplish the above goals?

Step 1: What will be the value of the Z4 of equivalent at the time of purchase? 10 points

Step 2: What will be the value of the 4 annual tuition payments? 15 points

Step 3: What will be the present value of the 4 annual tuition payments? 10 points

Step 4: What will be the present value of the 30 years of salary payments? 10 points

Step 5: What will be the value of Kristinas savings when she retires? 10 points

Step 6: How much does Kristina need to save every year? 10 points

Step 7: Create a table showing all the additions and subtraction to the savings accounts and the value at the end of each year. (Hint: the value should be close to zero at the end) 25 points

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