9. Meet your investment goals - Calculating required capital How much capital do you need to start investing? The motivation for making investments is largely driven by the goals you have. These goals could be short-term such as buying a new ene, saving for a down payment on a home or saving enough to take a year off and travel. In any situation, the first step is to identifying the amount of capital you need and how much risk are you willing to take for the return you expect Paolo is a 30-year-old dental hygienist whose peimary long-term financial goal is to own a home. Therefore, he wants to begin an investment plan that will make this a reality within 10 years. He currently has $5,000 saved for this purpose, and he wanly 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 8%, and he would like to save a total of $100,000 for the down payment. Future Value Factors Future Value Annuity Factors sols If he invests the $5,000 today, the terminal value of this initial investment in 10 years (earning an average return) will be s This means that he must accumulate the remaining S through his annual savings plan to obtain the full $100,000 for the down payment. Still assuming an average return on investment of the additional yearly investment required to reach Paolo's targeted financial goal within 10 years is 5 A. Suppose instead that Paolo had no capital saved and thus needed to accumulate the entire $100,000 in the next 10 years. In this case, his annual contribution would have to be s When Paolo starts with an initial Investment of $5,000, the total amount that he ends up contributing to accumulate $100,000 is equal to the initial Investment plus the additional yearly payments, for a total of 5 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 5 Once Paolo 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 O True O False this purpose, and amount that will allow him to reach his goal. He estimates that he can earn an average an $100,000 for the down payment. ps S Future Value Factors Future Value Annuity Factors Year 2% 5% 8% 10% 1 1 1.020 1.050 1.080 1.100 5 1.104 1.276 1.469 1.611 10 1.219 1.629 2.159 2.594 40 2.208 7.040 21.724 45.258 If he invests the $5,000 today, the terminal value of this initial investment in 10 year This means that he must accumulate the remaining $ through his a LL- IL Future Value Factors Future Value Annuity Factors Year 2% 5% 8% 10% 1.000 1.000 1.000 1.000 5 5.204 5.526 5.867 6.105 10 10.950 12.578 14.487 15.937 40 60.401 120.797 259.052 442.580 If he invests the $5,000 today, the terminal value of this initial investment in 10 yea This means that he must accumulate the remaining $ through his