Emma will retire 3 years from now. Her financial advisor advises her to take advantage of tax-free catch-up contributions to her individual retirement account (IRA). She can make a maximum catch-up contribution of $6,000 this year. Assume that this maximum contribution will remain at $6,000 for the next two years. Emma decides to make three contributions starting today (i.e., she will make her first catch-up contribution of $6,000 today, and two more contributions of $6,000 each on February 24, 2024 and February 24, 2025). How much will these three catch-up contributions accumulate to when she retires? Explain your solution strategy by answering the following questions: i. Does this problem involve a lump sum, an annuity, or an uneven stream of cash flows? ii. Does it involve present value(s) or future value(s)? iii. Draw a timeline of the cash flows mentioned in the problem statement. Review the timelines in your textbook chapter if required. iv. What additional information would you need to provide a numerical answer for the question asked? v. Assuming you had that additional piece of information, how would you answer the question, How much will these four catch-up contributions accumulate to when she retires? Indicate the location of this value on your time line