Let us develop a savings plan for your retirement. We will assume that you will be fin- ished with your schooling by age 25, and work for 40 years to retire at age 65. Let us (very generously and optimistically) imagine that you will receive a substantial graduation gift of $10,000, and will open an investment account with it that (again, quite optimistically) can be expected to reliably pay 8% interest, compounded continuously. In addition, you will plan to save a portion of your paycheck each week, for a total of D dollars per year, every year. Determine D, i.e how much you need to add to your account from your earnings every year, in order to retire with a princely sum of $2,000,000 in your retirement account.

You plan to analyze the value of a potential investment by calculating the sum of the present values of its expected cash flows. Which of the following would increase the calculated value of the investment? Group of answer choices The cash flows are in the form of a deferred annuity, and they total to $100,000. You learn that the annuity lasts for 10 years rather than 5 years, hence that each payment is for $10,000 rather than for $20,000. The discount rate decreases. The riskiness of the investment's cash flows increases. The total amount of cash flows remains the same, but more of the cash flows are received in the later years and less are received in the earlier years. The discount rate increases.

Based on the framework in the previous two problems, you have found that you need to have a total of $1,529,499 in savings at the time you retire, in 40 years. You currently only have $28,118 saved up in your retirement accounts. If you anticipate that your 80/20 investment portfolio will return an average of 8.31% per year, how much extra must you save every year to reach your goal? Assume that you'll be saving the extra amount by the end of each year.

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…

You hope to have $35,000 in your investment account in ten years. If you invest $25,000 today, what annual rate of return would your investment account need to generate if you make no future deposits? O 3.4% O 3.8% O 40.0% O 1.7%

You have a chance to buy an annuity that pays $25,000 at the beginning of each year for 10 years. You could earn 8.5% on your money in other investments with equal risk. What is the most you should pay for the annuity? You are not required to show calculations but you must list the inputs used such as N, PV, FV, etc. O $346,484.41 O $177,976.57 O $164,033.70