Li is amazed that he will be able to accumulate over $600,000. However, he knows that inflation will increase his cost of living significantly in 30 years. He assumes 3% inflation and wants to find the income he needs at age 67 to have the same purchasing power as $40,000 today. (Hint: Look at inflation in Section 10.2 and use the compound interest table in Section 10.1.
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Li is amazed that he will be able to accumulate over $600,000. However, he knows that
inflation will increase his cost of living significantly in 30 years. He assumes 3% inflation
and wants to find the income he needs at age 67 to have the same
$40,000 today. (Hint: Look at inflation in Section 10.2 and use the compound interest table
in Section 10.1.
Step by step
Solved in 2 steps
- I was having trouble with #2c I calculated . Please assistAssume that you want to retire 30 years from now with an amount of money that will have the same value (purchasing power) as $3 million today. If you believe the inflation rate will average 4.8% per year, determine the amount of future dollars you will need. The amount of future dollars you will need is $ . (Enter your answer in dollars and not in millions of dollars.)1. Assume that your father is now 50 years old, that he plans to retire in 10 years, and that he expects to live for 25 years after he retires-that is, until age 85. He wants his first retirement payment to have the same purchasing power at the time he retires as GH¢ 40,000 has today. He wants all of his subsequent retirement payments to be equal to his first retirement payment. (Do not let the retirement payments grow with inflation: Your father realizes that the real value of his retirement income will decline year by year after he retires.) His retirement income will begin the day he retires, 10 years from today, and he will then receive 24 additional annual payments. Inflation is expected to be 5% per year from today forward. He currently has GH¢ 100,000 saved up; and he expects to earn a return on his savings of 8% per year with annual compounding. To the nearest dollar, how much must he save during each of the next 10 years (with equal deposits being made at the end of each year,…
- You have estimated your future retirement income needs and, after taking Social Security into account, you have determined that you will have an pretax income shortfall of $100,000 in your first year of retirement at age 65. How much will you need to have saved by then, assuming you want to have your retirement income increase with inflation, but are willing to spend down your principal over time? Assume that you will live for 40 years in retirement, inflation will average 3% and you can earn 7% on your investments. (Hint: Use the inflation - adjusted annuity equation). You have estimated your future retirement income needs and, after taking Social Security into account, you have determined that you will have an pretax income shortfall of $100,000 in your first year of retirement at age 65. How much will you need to have saved by then, assuming you want to have your retirement income increase with inflation, but are willing to spend down your principal over time? Assume that you will…You estimate that by the time you retire in 35 years, you will have accumulated savings of $2 million. If the interest rate is 8% and you live 15 years after retirement, what annual level of expenditure will those savings support? Unfortunately, inflation will eat into the value of your retirement income. Assume a 4% inflation rate and work out a spending program for your retirement that will allow you to increase your expenditure in line with inflation.Consider the following statement: "If you are 20 years of age and save $1.00 each day for the rest of your life, you can become a millionaire." Assume that you live to age 80 and that the annual interest rate is 12%. Under these specific conditions, we compute the future compound amount (F): $2,727,149. If inflation is expected to average 3% per year over the next 60 years, your purchasing power will be less than $2,727,149. a. When f= 3% per year, what is the purchasing power of this future sum of money in today's dollars when you reach age 80? b. Repeat Part (a) when inflation averages 1% per year. Click the icon to view the interest and annuity table for discrete compounding when i = 1% per year. Click the icon to view the interest and annuity table for discrete compounding when /=3% per year. a. The purchasing power is $ thousand. (Round to the nearest whole number.) b. The purchasing power is $ thousand. (Round to the nearest whole number.)
- You estimate that by the time you retire in 35 years, you will have accumulated savings of $3.5 million. a. If the interest rate is 10.0% and you live 15 years after retirement, what annual level of expenditure will those savings support? (Do not round intermediate calculations. Enter your answer in whole dollars rounded to 2 decimal places.) b. Unfortunately, inflation will eat into the value of your retirement income. Assume a 6% inflation rate and work out a spending program for your $3.5 million in retirement savings that will allow you to increase your expenditure in line with inflation. What will be your expenditure amount in real terms for each year of your retirement? (Do not round intermediate calculations. Enter your answer in whole dollars rounded to 2 decimal places.) Can you Please Answer Part B?Imagine that the interest rate on your savings account is positive and there is no inflation rate. Assume you inherit ₱10,000 today and you deposit it into a savings account and your friend inherits ₱10,000 3 years from now. Who is richer because of the inheritance? A. I amB. My friendC. They are equally richYou have determined that you will need to accumulate $1,000,000 in your retirement account in order to cover your inflation-adjusted shortfall. Which of the following is closest to the amount of money you would need to put into a tax-deferred retirement account every year if you plan on retiring in 40 years? Assume an 8% average return on this account and that it is empty today. Hint: Use TVM calculator $1,458 $3,860 $5,957 $8,444 $25,000
- To live comfortably in retirement, you decide you will need to save $2 million by the time you are 65 (you are 30 years old today). You will start a new retirement savings account today and contribute the same amount of money on every birthday up to and including your 65th birthday. Using TVM principles, how much must you set aside each year to make sure that you hit your target goal if the interest rate is 5%? What flaws might exist in your calculations, and what variables could lead to different outcomes? What actions could you take ensure you reach your target goal?Your client, Tom, has come to you inquiring about retirement. He wants to know approximately how much (in future dollars) he will need to have saved by retirement. You have calculated that he will need about $182,365 a year to maintain his current life style. He expects to retire at age 64 and live to around 90, and his return on investment averages at 9%. Estimated average inflation is 3%. How much does Tom need to have on day 1 of retirement to meet this goal? O $1,987,422 O $2,127,937 O $2,662,389 O $2,552,815You estimate that by the time you retire in 35 years, you will have accumulated savings of $3.2 million. a. If the interest rate is 8.0% and you live 15 years after retirement, what annual level of expenditure will those savings support? Note: Do not round intermediate calculations. Enter your answer in whole dollars rounded to 2 decimal places. b. Unfortunately, inflation will eat into the value of your retirement income. Assume a 3% inflation rate and work out a spending program for your $3.2 million in retirement savings that will allow you to increase your expenditure in line with inflation. What will be your expenditure amount in real terms for each year of your retirement? Note: Do not round intermediate calculations. Enter your answer in whole dollars rounded to 2 decimal places. a. Annual expenditure b. Real annual expenditure