Victor and Maria Hernandez Try to Catch Up on Their Investments The expenses ass
ID: 2657140 • Letter: V
Question
Victor and Maria Hernandez Try to Catch Up on Their Investments The expenses associated with sending two children through college prevented Victor and Maria Hernandez from adding substantially to their investment program. Now that their younger son, Joseph, has completed school and is working full time. They would like to build up their investments quickly. Victor is 47 years old and wants to retire early, perhaps by age 60. In addition to the retirement program at his place of employment, Victor believes that their investment portfolio, currently valued at $128,000, will need to triple to $384,000 by his planned retirement time, in 13 years. He and Maria realize that they will have to sacrifice a lot of current spending to save and invest for retirement. A. What rate of return is needed on the $128,000 portfolio to reach their goal of $384,000 (assuming no additional contributions)? Use Appendix A.1 or visit the Garman/Forgue companion website. Round your answer to the nearest whole number. Round ‘Future Value of a Single Amount’ in intermediate calculations to four decimal places. (3 pts) B. Victor and Maria think they will need a total of $570,000 for a retirement financial nest egg to supplement his anticipated small pension from teaching. Therefore, they will need to create an additional sum of about $186,000 through new investments. Assuming an annual return of 9 percent, how much do the Hernandezes need to invest each year to reach their goal of $186,000? Use Appendix A.3 or visit the Garman/Forgue companion website. Round your answer to the nearest dollar. Round ‘Future Value of a Series of Equal Amounts’ in intermediate calculations to four decimal places. (4 pts) C. If they assume a 5 percent annual return, how much do the Hernandezes need to invest each year to reach their goal of $186,000? Use Appendix A.3 or visit the Garman/Forgue companion website. Round your answer to the nearest dollar. Round ‘Future Value of a Series of Equal Amounts’ in intermediate calculations to four decimal places.
Explanation / Answer
Present Value - $128,000
Future Value - $384,000
Time - 13Years
A - We need to find out the Yield, by using the below formulae:
Future Value = Present Value * (1+Yield)^Time
$384,000 = $128,000 * (1+Yield)^13
We can solve this using excel or financial calculator: Thus Yield will be 8.8182 %.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.