Calculate the lump sum you need to have accumulated at age 65 to be able to draw the desired income. Assume that the annual return on your investments is likely to be 10 percent. (Round answer to 2 decimal places, e.g. 15.25. Round intermediate value to 3 decimal places, e.g. 359400.312. Do not round factor values.) Lump sum amount accumulated at age 65 $ 13,747,348.15
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- Part A: By the end of this year, you will be 35-years old, and you want to plan for your retirement. You wish to retire at the age of 65, and you expect to live 20 years after retirement. Upon retirement you wish to have an annual sum of $50,000 to supplement your social security benefits. Therefore, you opened your retirement account with a 7% annual interest rate. At retirement you liquidate your account and use the funds to buy an investment grade bond which makes $50,000 annual coupon payments based on a 6 % coupon rate throughout your retirement years. What is the face value, not the actual value, of the bond that you will be investing in? Please calculate the monthly payment in your retirement account in order to be able to achieve the plan mentioned above. How much will your inheritors receive?Part A: By the end of this year, you would be 35 years old and you want to plan for your retirement. You wish to retire at the age of 65 and you expect to live 20 years after retirement. Upon retirement, you wish to have an annual sum of $50,000 to supplement your social security benefits. Therefore, you opened now your retirement account with a 7% annual interest rate. At retirement, you liquidate your account and use the funds to buy an investment-grade bond which makes $50,000 annual coupon payments based on a 6 % coupon rate, throughout your retirement years. How much will the face value of the bond that you will be investing? Please calculate the monthly payment in your retirement account in order to be able to achieve the plan mentioned above? How much will your inheritors receive?Assume you are now 21 years old and will start working as soon as you graduate from college. You plan to start saving for your retirement on your 25th birthday and retire on your 65th birthday. After retirement, you expect to live at least until you are 85. You wish to be able to withdraw $36,000 (in today's dollars) every year from the time of your retirement until you are 85 years old (i.e., for 20 years). The average inflation rate is likely to be 5 percent. Problem 6.42(a) Your answer is correct. Calculate the lump sum you need to have accumulated at age 65 to be able to draw the desired income. Assume that the annual return on your investments is likely to be 10 percent. (Round answer to 2 decimal places, e.g. 15.25. Round intermediate value to 3 decimal places, e.g. 359400.312. Do not round factor values.) Lump sum amount accumulated at age 65 $ 3917778.11 Problem 6.42(b) Your answer is correct. What is the dollar amount you need to invest every year, starting at age 26 and…
- Assume you are now 21 years old and will start working as soon as you graduate from college. You plan to start saving for your retirement on your 25th birthday and retire on your 65th birthday. After retirement, you expect to live at least until you are 85. You wish to be able to withdraw $38,000 (in today's dollars) every year from the time of your retirement until you are 85 years old (i.e., for 20 years). The average inflation rate is likely to be 5 percent. Problem 6.42(a) X Your answer is incorrect. Calculate the lump sum you need to have accumulated at age 65 to be able to draw the desired income. Assume that the annual return on your investments is likely to be 10 percent. (Round answer to 2 decimal places, e.g. 15.25. Round intermediate value to 3 decimal places, e.g. 359400.312. Do not round factor values.) Lump sum amount accumulated at age 65 $ 10463.384K 1 As part of your retirement plan, you have decided to deposit $6,000 at the beginning of each year into an account paying 4% interest compounded annually. (Round your answers to the nearest cent.) (a) How much (in $) would the account be worth after 10 years? (b) How much (in $) would the account be worth after 20 years? $ (c) When you retire in 30 years, what will be the total worth (in $) of the account? $ (d) If you found a bank that paid 6% interest compounded annually rather than 4%, how much (in $) would you have in the account after 30 years? $ 7 (e) Use the future value of an annuity due formula to calculate how much (in $) you would have in the account after 30 years if the bank in part (d) switched from annual compounding to monthly compounding and you deposited $500 at the beginning of each month instead of $6,000 at the beginning of each year. $ A ? @ 2 W S # 3 LIT 14 $ 4 R 이트 F C 1540 % 5 V T 16 4- 6 ¹7+ B & Y 7 G H fao N . 8 D 144 ( 1 M 9 K to Dill O DDI 2 V .. { || C…You want to be able to withdraw $40,000 from your account each year for 15 years after you retire. You expect to retire in 30 years. If your account earns 9% interest, how much will you need to deposit each year until retirement to achieve your retirement goals? %24
- 1On the day you retire you have $500,000 saved. You expect to live another 30 years during which time you expect to earn 8% on your savings while inflation averages 3.5% annually. Assume you want to spend the same amount each year in real terms and die on the day you spend your last dime. What real amount will you be able to spend each year? a. $61,931.78 b. $79,211.09 c. $79,644.58 d. $30,695.77 2Now consider your financial objective is to save $500,000 for preparing your retirement, assuming 30 years from now. If you invest your RRSP savings in a mutual fund which can realize an average return of 10% per year. To achieve your goal, how much do you need to save at the end of each year over the 30-year period? a. 4,039.26 b. 3,039.62 c. 2,985.54 d. 10,988.32 3What is the FV of $100 deposited today into an account with an APR 12.6%, compounded semiannually for 10 years? a. 1478.96 b. 3460.06 c. 327.63 d. 339.36C 78. Retirement Planning Eileen Gianiodis wants to retire on $75,000 per year for her life expectancy of 20 years after she retires. She estimates that she will be able to earn an interest rate of 10.1%, compounded annually, throughout her lifetime. To reach her retirement goal, Eileen will make annual contributions to her account for the next 30 years. One year after making her last deposit, she will receive her first retirement check. How large must her yearly contributions be?Every leap year you get a bonus of $20 000, which you put into a retirement account at 5% interest. If your first payment into the account is made in four years' time, and you put no other money into the account, how long will it be before you can retire with a million dollars? Select one: a. 48 O b. 44 O c. 40 d. 36 e. 52
- How long would it take for you to save an adequate amount for retirement if you deposit $40,000 per year into an account beginning today that pays 12 percent per year if you wish to have a total of $1,000,000 at retirement? O a. 12.2 years O b. 10.5 years O c. 14.8 years O d. 11.5 yearsK You are saving for retirement. To live comfortably, you decide you will need to save $1 million by the time you are 65. Today is your 21st birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 9%, how much must you set aside each year to make sure that you will have $1 million in the account on your 65th birthday? The amount to deposit each year is $(Round to the nearest dollar)QUESTION 11 Assume that you contribute $160 per month to a retirement plan for 25 years. Then you are able to increase the contribution to $360 per month for the next 25 years. Given a 7.2 percent interest rate, what is the value of your retirement plan after the 50 years? (Do not round intermediate calculations and round your final answer to 2 decimal places.) Future value of multiple annuities?