Jeff is a 25-year-old financial consultant whose primary long-term financial goal is to save enough to take a year off and travel. Therefore, he wants to begin an investment plan that will make this a reality within 5 years. He currently has $3,000 saved for this purpose, and he wants to determine the appropriate monthly savings amount that will allow him to reach his goal. He estimates that he can earn an average annual return of 5%, and he would like to save a total of $20,000 to cover his expenses for the year. Table of Future Value Factors Table of Future Value Annuity Factors Year 1 5 10 40 2% 1.020 1.104 1.219 2.208 5% 1.050 1.276 1.629 7.040 8% 1.080 1.469 2.159 21.724 10% 1.100 1.611 2.594 45.258 Year 1 5 10 40 2% 1.000 5.204 10.950 60.401 5% 1.000 5.526 12.578 120.797 8% 1.000 5.867 14.487 259.052 10% 1.000 6.105 15.937 442.580 If he invests the $3,000 today, the terminal value of this initial investment in 5 years (earning an average 5% return) will be . This means that he must accumulate the remaining through his annual savings plan to obtain the full $20,000 to cover his expenses for the year. Still assuming an average return on investment of 5%, the additional yearly investment required to reach Jeff's targeted financial goal within 5 years is Suppose instead that Jeff had no capital saved and thus needed to accumulate the entire $20,000 in the next 5 years. In this case, his annual contribution would have to be When Jeff starts with an initial investment of $3,000, the total amount that he ends up contributing to accumulate $20,000 is equal to the initial investment plus the additional yearly payments, for a total of . When he starts with no initial capital contribution, the amount he ends up contributing is equal to the sum of all annual contributions you calculated in the no-initial-capital scenario, for a total of Once Jeff has determined the annual amount he needs to save, the next step toward achieving his goal is coming up with an investment plan. True or False: The appropriate investment plan depends only on the total amount of money he intends to save, not on the investment objective. False True