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Lewis has already saved $10,000. Suppose he continues to make contributions of $500 at the beginning of each month for the next 10 years. He has a goal of having $150,000.
1. What monthly nominal rate of 2. If the best rate in the market he can find is a 9.9% monthly nominal rate, what would be the new amount for the contributions he will have to make to still achieve his goal of having $150,000 in 10 years? |
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- You have already saved $20,000. Suppose you continue to make contributions of $750 at the beginning of each month for the next 15 years. You have a goal of having $200,000. 1) What monthly nominal rate of return must his investment earn for him to achieve his goal? 2) If the best rate in the market he can find is a 10% monthly nominal rate, what would be the new amount for the contributions he will have to make to still achieve his goal of having $150,000 in 10 years?You are trying to decide how much to save for retirement. Assume you plan to save $5,000 per year with the first investment made one year from now. You think you can earn 10.0% per year on your investments and you plan to retire in 43 years, immediately after making your last $5,000 investment. a. How much will you have in your retirement account on the day you retire? b. If, instead of investing $5,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be? c. If you hope to live for 20 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 20th withdrawal (assume your savings will continue to earn 10.0% in retirement)? d. If, instead, you decide to withdraw $300,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it…You want to retire in 20 years. You currently have $200,000, and think you will need $1.5 million at retirement. What annual interest rate must you earn to reach your goal, assuming you don’t save any additional funds? What annual interest rate must you earn if you can contribute an additional $5,000 per year? What annual interest rate must you earn if you can contribute an additional $15,000 per year? You want to retire in 30 years. You currently have $500,000, and think you will need $2.5 million at retirement. What annual interest rate must you earn to reach your goal, assuming you don’t save any additional funds? What annual interest rate must you earn if you can contribute an additional $7,500 per year? What annual interest rate must you earn if you can contribute an additional $13,000 per year?
- Suppose you invest $2,000 today and receive $11,000 in five years. a. What is the internal rate of return (IRR) of this opportunity? b. Suppose another investment opportunity also requires $2,000 upfront, but pays an equal amount at the end of each year for the next five years. If this investment has the same IRR as the first one, what is the amount you will receive each year?You are trying to decide how much to save for retirement. Assume you plan to save $5,000 per year with the first investment made one year from now. You think you can earn 10% per year on your investments and you plan to retire in 43 years, immediately after making you last $5,000 investment. c. If you hope to live for 20 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 20th withdrawal (assume your savings will continue to earn 10% in retirement)? d. If, instead, you decide to withdraw $300,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it take until you exhaust your savings?Danny is saving towards his vacation. He has determined that the total cost including airfare and accommodation will amount to $5,000. a. If he sets aside $400 per month from his salary, starting from the end of this month, in an account that pays interest of 9% per annum, will he have enough to make the trip at the end of the year? b. How much more will he have in the account if he made his first deposit of $400 today? What kind of annuity is this?
- You are trying to decide how much to save for retirement. Assume you plan to save $4,000 per year with the first investment made one year from now. You think you can earn 10.5% per year on your investments and you plan to retire in 36 years, immediately after making your last $4,000 investment. a. How much will you have in your retirement account on the day you retire? b. If, instead of investing $4,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be? c. If you hope to live for 28 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 28th withdrawal (assume your savings will continue to earn 10.5% in retirement)? d. If, instead, you decide to withdraw $270,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it…Suppose you are 35 years old and would like to retire at age 65. Furthermore, you would like to have a retirement fund from which you can draw an income of $50,000 per year–forever!How much would you need to deposit each month to dothis? Assume a constant APR of 8% and that the compounding and payment periods are the same. To draw $50,000 per year, there must be $ in your savings account when you retire. You can reach your goal by making monthly deposits of $You have a client who wants to buy a house. He needs $40,000 for a down payment and has $30,000 right now. If he can earn 5% compounded quarterly, on his savings, how long will it take to reach his goal?
- Suppose you are 30 years old and would like to retire at age 65. Furthermore, you would like to have a retirement fund from which you can draw an income of $100,000 per year-forever! How much would you need to deposit each month to do this? Assume a constant APR of 6% and that the compounding and payment periods are the same. To draw $100,000 per year, there must be $☐ in your savings account when you retire. (Do not round until the final answer. Then round to the nearest integer as needed.)You have 30 years left until retirement and want to retire with $1.5 million. Your salary is paid annually, and will receive $70,000 at the end of the current year. Your salary will increase at 3 percent per year, and you can earn an 10 percent return on the money you invest. If you save a constant percentage of your salary, what percentage of your salary must you save each year?Jim Nance has been offered an investment that will pay him $860 three years from today. a. If his opportunity cost is 9% compounded annually, what value should he place on this opportunity today? b. What is the most he should pay to purchase this payment today? c. If Jim can purchase this investment for less than the amount calculated in part (a), what does that imply about the rate of return that he will earn on the investment?