Suppose you deposit $10,000 today, with the expectation that it will grow for 10 years at 11%...
Question:
Suppose you deposit $10,000 today, with the expectation that it will grow for 10 years at 11% interest compounded monthly. You then plan to withdraw the funds quarterly over the next 4 years. You expect the annual interest rate over those 4 years to be 9%. Demonstrate that your total withdrawals, to the nearest dollar, will amount to $35,926.
Deposits vs Withdrawals:
Deposits increase the balance of an account, while withdrawals reduce that balance. In general, we can find the balance of an account either as the present value of withdrawals or as the future value of deposits.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answerLet us assume,
- r = interest rate on deposit = 11% / 12 = 0.91667% per month
- n = number of months of interest accumulation = 10 * 12 =120 months
- FV =...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:

from
Chapter 21 / Lesson 15An annuity is a type of savings account that pays back the investor in the future. Learn the formula used to calculate an annuity's value, and understand the importance of labeling specific numbers to calculate an output over time.
Related to this Question
- Suppose you deposit $10,000 annually into a life insurance fund for the next 10 years, after which time you plan to retire. a. If the deposits are made at the beginning of the year and earn an interest rate of 8 percent, what will be the amount in the re
- You plan to start saving for your retirement by depositing $10,000 exactly one year from now. Each year you intend to increase your retirement deposit by 2%. You plan on retiring 30 years from now, and you will receive 4% interest compounded annually. Ho
- You plan to start saving for your retirement by depositing $10,000 exactly one year from now. Each year you intend to increase your retirement deposit by 2%. You plan on retiring 30 years from now, and you will receive 4% interest compounded annually. \\
- One year from now, you deposit $500 in a savings account. You deposit $1,800 the next year. Then you wait two more years (until 4 years from now) and deposit $1,000. If your account always cams 6% annual interest and you make no withdrawals, how much will
- Suppose that the pension fund you are managing is expecting an inflow of funds of $100 million next year and you want to make sure that you will earn the current interest rate of 8% when you invest th
- Suppose that the pension fund you are managing is expecting an inflow of funds of $15 million next year and you want to make sure that you will earn the current interest rate of 6% when you invest the
- You plan on saving $5,000 a year for 40 years at which time you will retire. At the end of that year you want to take out equal installments over the next 20 years. If the interest rate is 10% what amount will you be able to withdraw every year?
- You plan on depositing $10,000 at the end of each year for 30 years into a retirement account that pays 5% interest. How much could you withdraw annually in equal beginning of year amounts starting at the time you make your last deposit and continuing fo
- You deposit $10,000 annually into a life insurance fund for the next 10 years, after which time you plan to retire. a. If the deposits are made at the beginning of the year and earn an interest rate
- You deposit $12,000 annually into a life insurance fund for the next 10 years, after which time you plan to retire. a. If the deposits are made at the beginning of the year and earn an interest rate
- You deposit $12,000 annually into a life insurance fund for the next 11 years, after which time you plan to retire. a. If the deposits are made at the beginning of the year and earn an interest rate
- You deposit $13,000 annually into a life insurance fund for the next 10 years, after which time you plan to retire. a. If the deposits are made at the beginning of the year and earn an interest rate
- You deposit $11,000 annually into a life insurance fund for the next 10 years, after which time you plan to retire. a. If the deposits are made at the beginning of the year and earn an interest rate o
- You deposit $10,000 annually into a life insurance fund for the next 12 years, after which time you plan to retire. a. If the deposits are made at the beginning of the year and earn an interest rate o
- A man is planning to retire in 20 years. He can deposit money for his retirement at 8% compounded monthly. It is estimated that the future general inflation rate will be 3% compounded annually. What
- You deposit $11,000 annually into a life insurance fund for the next 11 years, after which time you plan to retire. a. If the deposits are made at the beginning of the year and earn an interest rate of 6 percent, what will be the amount in the retirement
- You deposit $13,000 annually into a life insurance fund for the next 10 years, after which time you plan to retire. a. If the deposits are made at the beginning of the year and earn an interest rate of 8 percent, what will be the amount in the retirement
- You deposit $3,000 per year at the end of each of the next 30 years into an account that pays 7% compounded annually towards your retirement. Once you retire, you will withdraw your retirement savings in 15 annual end-of-year installments, if the accumula
- You deposit $12,000 annually into a life insurance fund for the next 30 years, after which time you plan to retire. A. If the deposits are made at the beginning of the year and earn an interest rate of 7%, what will be the amount of retirement funds at t
- You deposit $10,000 annually into a life insurance fund for the next 10 years, after which time you plan to retire. a. If the deposits are made at the beginning of the year and earn an interest rate of 8 percent, what will be the amount in the retirement
- Starting at the end of this year, you plan to make annual deposits of $7,000 for the next 10 years followed by deposits of $10,000 for the following 10 years. The deposits earn interest of 6.4%. What will the account balance be by the end of 27 years?
- Suppose you deposit $20,000 at the end of each of the next 30 years into a retirement account. Immediately after your last deposit, you take the entire accumulated value in your account and purchase a 20-year annuity, which will pay you X at the beginning
- You plan to invest $2,000 in an individual retirement arrangement (IRA) today at a nominal annual rate of 8%, which is expected to apply to all future years. How much will you have in the account at the end of 10 years if the interest is compounded semian
- You plan to invest $2,000 in an individual retirement arrangement (IRA) today at a nominal annual rate of 8%, which is expected to apply to all future years. How much will you have in the account at the end of 10 years if the interest is compounded contin
- You plan to invest $2,000 in an individual retirement arrangement (IRA) today at a nominal annual rate of 8%, which is expected to apply to all future years. How much will you have in the account at the end of 10 years if the interest is compounded daily
- You plan to make a series of deposits in an interest-bearing account. You will deposit $1,000 today, $2,000 in 2 years, and $8,000 in 5 years. If you withdraw $3,000 in 3 years and $5,000 in 7 years,
- You deposit $7,500 annually into a life insurance fund for the next 20 years, at which time you plan to retire. Instead of a lump sum, you wish to receive annuities for the next 20 years. What is the annual payment you expect to receive beginning in year
- You expect to receive $1,000 at the end of each of the next 3 years. Your deposit these payments into an account which pays 10% compounded semiannually. What is the future value of these payments, tha
- You expect to receive $1,000 at the end of each of the next 3 year. You will deposit these payments into an account which pays 10 percent compounded semiannually. What is the future value of these pa
- Assume that you deposit $ 1,651 each year for the next 15 years into an account that pays 17% per annum. The first deposit will occur one year from today (that is, at t = 1) and the last deposit will
- You have $18,500 you want to invest for the next 32 years. You are offered an investment plan that will pay you 6 percent per year for the next 16 years and 10 percent per year for the last 16 years. a. How much will you have at the end of the 32 years?
- Suppose that an investor opens an account by investing $1,000. At the beginning of each of the next four years, he deposits an additional $1,000 each year, and he then liquidates the account at the end of the total five-year period. Suppose that the yearl
- You deposit $7500 annually into a life insurance fund for the next 20 years, at which time you plan to retire. Instead of a lump sum, you wish to receive annuities for the next 20 years. What is the a
- You are saving for retirement in 40 years. You deposit $20,000 in a bank account today that pays 2.5% interest, compounded semiannually. You leave those funds on deposit until you retire. You also contribute $5,000 a year to a pension plan for 20 years an
- You plan to invest $2,000 in an individual retirement arrangement (IRA) today at a nominal annual rate of 8%, which is expected to apply to all future years. How much will you have in the account at the end of 10 years if the interest is compounded annual
- You deposit a single sum of money now so that you may withdraw 15 equal amounts of $1,000 at the end of each of the following 15 years. Assume 5% interest. How much should you deposit today?
- You have $20,000 you want to invest for the next 40 years. You are offered an investment plan that will pay you 7 percent per year for the next 20 years and 11 percent per year for the last 20 years.
- You have $19,500 you want to invest for the next 24 years. You are offered an investment plan that will pay you 6 percent per year for the next 12 years and 10 percent per year for the last 12 years.
- You have $5,000 you want to invest for the next 45 years. You are offered an investment plan that will pay you 6 percent per year for the next 15 years and 10 percent per year for the last 30 years.
- You have $18,500 you want to invest for the next 32 years. You are offered an investment plan that will pay you 6 percent per year for the next 16 years and 10 percent per year for the last 16 years.
- You plan to deposit $2,100 per year for 6 years into a money market account with an annual return of 2%. You plan to make your first deposit one year from today. Assume that your deposits will begin
- Jacquie plans to deposit $3500 into her savings account for each of the next 5 years, and then $2000 per year for 5 years; after that (all at the year end) she anticipates interest rates to be 6% for
- To supplement your planned retirement in exactly 45 years, you estimate that you need to accumulate $350,000 by the end of 45 years from today. You plan to make equal, annual, end-of-year deposits int
- Suppose that the pension fund you are managing is expecting an inflow of funds of $10 million next year and you want to make sure that you will earn the current interest rate of 6%. what is the final
- Suppose you wish to save for your child's college education by opening up an educational IRA. You plan to deposit $100 per month into the IRA for the next 18 years. Assume that you will be able to earn 10%, compounded monthly, on your investment. How much
- You plan to invest $2,000 in an individual retirement arrangement (IRA) today at a nominal annual rate of 8%, which is expected to apply to all future years. What is the effective annual rate, EAR, at the end of 10 years if the interest is compounded semi
- I plan to deposit $475 into my retirement every year for the next 25 years. The first deposit will be made today that is, at t=0 and the last deposit will be made at the end of year 24 that is at t=24
- Joe expects to receive $5,000 each year for the next ten years beginning one year from today. If he deposits each payment into an account earning 8% interest annually, what will the balance of the account be when the last payment is deposited?
- Suppose that you invest $3,000 per year into a retirement fund beginning on your 26th birthday, and make the last deposit on your 35th birthday. The fund pays 6.5% interest, compounded annually. When
- For the following case, determine the number of years it will take for the initial deposit to grow to equal the future amount at the given interest rate. Initial Deposit $5,679 Future Amount $7,700 In
- Suppose you expect the rate of inflation to be 4% next year, then fall to 3% for the following year, and then to fall to 2% for each of the following years. Suppose r* is to remain constant at 2% and the maturity risk premium is 0 for the 1st year, .10% f
- You plan to deposit $2,400 per year for 4 years into a money market account with an annual return of 2%. You plan to make your first deposit one year from today. What amount will be in your account at the end of 4 years? Assume that your deposits will b
- You plan to invest $2,000 in an individual retirement arrangement (IRA) today at a nominal annual rate of 8%, which is expected to apply to all future years. How much greater will your IRA balance be at the end of 10 years if interest is compounded contin
- Suppose you invest $1000 into a mutual fund that is expected to earn a rate of return of 10%. 1. The amount of money will you have in ten years is closest to which of the following? 2. The amount yo
- You are considering a savings plan that calls for a deposit of $15,000 at the end of each of the next five years. If the plan offers an interest rate of 10%, how much will you accumulate at the end of
- To supplement your planned retirement in exactly 35 years, you estimate that you need to accumulate $250,000 by the end of 35 years from today. You plan to make equal annual end-of-year deposits into
- Assume that you want to make annual deposits in order to save $3 million in 40 years, and you can achieve a 13% annual interest rate. Also, assume that you can increase your annual deposit by 5% each
- To supplement your planned retirement in exactly 43 years, you estimate that you need to accumulate $390,000 by the end of 43 years from today. You plan to make equal, annual, end-of-year deposits int
- 4) You are saving for retirement in 20 years. Today, you place $100,000 in a bank account that pays 4% interest, compounded annually, leaving the funds on deposit for the entire 20 years. You also con
- You are 35 years old, and decide to save $5000 each year (with the first deposit one year from now), in an account paying 8% interest per year. You will make your last deposit 30 years from now when y
- You plan on retiring in 20 years. You currently have $275,000 and think you will need $1,000,000 to retire. Assuming that you do not deposit any additional money into the account, what annual return w
- You are 35 years old, and decide to save $5,000 each year (with the first deposit one year from now), in an account paying 8% interest per year. You will make your last deposit 30 years from now when
- suppose you would like to be paid $30,000 per year during your retirement, which starts in 25 years. Assume the 30,000 is annual perpetuity and the expected return is 6% APY. What should you save per month for the next 25 years so that you can achieve you
- Frode is planning for retirement 34 years from now. He plans to invest $4,200 per year for the first 7 years, $6,900 per year for the next 11 years, and $14,500 per year for the following 16 years (assume all cash flows occur at the end of each year). If
- You plan to deposit $2,300 per year for 5 years into a money market account with an annual return of 2%. You plan to make your first deposit one year from today. Assume that your deposits will begin today. What amount will be in your account after 5 years
- Suppose you want to have $2,000,000 when you retire in 30 years. Assume you will earn 8% per year on your investments. How much would you have to invest at the end of each year for the next 30 years to reach your $2,000,000 goal?
- Suppose you are now retired and expect to live for 20 years. Assume you have $800,000 invested in various accounts and expect these investments to earn a nominal annual rate of 6%. You also expect inflation to average 3% per year. You want to withdraw a c
- You have $18,750 you want to invest for the next 30 years. You are offered an investment plan that will pay you 9 per cent per year for the next 15 years and 13 per cent per year for the last 15 years
- You plan to retire with $800,000 in 20 years. How much should you deposit each month into an account that pays an 8.5% annual rate compounded monthly?
- Suppose you make 30 annual investments in a fund that pays 3% compounded annually. If your first deposit is $5,500 and each successive deposit is 3% greater than the preceding deposit, how much will b
- Suppose you make 30 annual investments in a fund that pays 6% compounded annually. If your first deposit is $7,000 and each successive deposit is 6% greater than the preceding deposit, how much will b
- If a security of $5,600 will be worth $7,369.22 seven years in the future, assuming that no additional deposits or withdrawals are made, what is the implied interest rate the investor will earn on the
- Determine the annual deposit required to fund a future annual annuity of $12,000 per year. You will fund this future liability over the next five years, with the first deposit to occur one year from t
- You need to accumulate $10,000. To do so, you plan to make deposits of $1,050 per year - with the first payment being made a year from today - into a bank account that pays 6.75% annual interest. Your last deposit will be less than $1,050 if less is neede
- You plan on depositing $3,000 in an account at the end of each of the next 5 years. If the account is paying interest at an annual rate of 10% per year, what will the total value of your investment be at the end of the 10th year?
- You want to be able to withdraw $25,000 from your account each year for 20 years after you retire. If you expect to retire in 15 years and your account earns 7.8% interest while saving for retirement
- Suppose you expect your investment to earn 6% in the first year but decrease to 4% in the second and third years. You want $10,000 after 3 years, what is the amount you need to invest today (present value)?
- Six years ago, you placed $250 in a savings account which is now worth $1,040.28. When you put the funds into the account, you were told it would pay 24 percent interest. You expected to find the acco
- You have $19,750 you want to invest for the next 22 years You are offered an investment plan that will pay you 9 percent per year for the next 11 years and 13 percent per year for the last 11 years. 1: How much will you have at the end of the 22 years? 2
- You have $18,500 you want to invest for the next 32 years. You are offered an investment plan that will pay you 6% per year for the next 16 years and 10 percent per year for the last 16 years. a. How much will you have at the end of the 32 years? b. If t
- you need to accumulate $10000. To do so you plan to make deposits of $1750 per year, with the first payment being made one year from today, in a bank account that pays 6% interest. Your last deposit w
- Suppose you invest $1000 into a mutual fund that is expected to earn a rate of return of 11%. The amount of money will you have in ten years is closest to which of the following? The amount you will have in 50 years is closest to which of the following? A
- A pension plan is obligated to make disbursements of $2.6 million, $3.6 million, and $2.6 million at the end of each of the next three years, respectively. The annual interest rate is 7%. If the plan
- A pension plan is obligated to make disbursements of $1 million, $2 million, and $1 million at the end of each of the next three years, respectively. The annual interest rate is 10%. If the plan wants
- A pension plan is obligated to make disbursements of $1.1 million, $2.1 million, and $1.1 million at the end of each of the next three years, respectively. The annual interest rate is 11%. If the plan
- A pension plan is obligated to make disbursements of $3.3 million, $4.0 million, and $3.3 million at the end of each of the next three years, respectively. The annual interest rate is 10%. If the plan
- 1.) A pension plan is obligated to make disbursements of $1 million, $2 million, and $1 million at the end of each of the next three years, respectively. The annual interest rate is 10%. If the plan w
- A pension plan is obligated to make disbursements of $1.4 million, $2.4 million, and $1.4 million at the end of each of the next three years, respectively. The annual interest rate is 8%. If the plan
- You are expected to receive $10,000 at the end of each of the next 20 years. If the opportunity cost of capital (interest rate) is 10% per year, compounded annually, what is its future value?
- You are expected to receive $50,000 at the end of each of the next 10 years. If the opportunity cost of capital (interest rate) is 10% per year, compounded annually, what is its future value?
- If you deposit $725 each year (first deposit made at t = 0) for 18 years into an account that pays 7.4% interest per year, compounded annually, what will be the balance in the account at the end of ye
- You believe you will spend $150,000 per year when you retire. You expect to live 30 years. If your retirement account expects to earn 5% annual interest, about how much must be in your account when yo
- Suppose you deposit $2000 into an account at the end of each of the next 10 years. If the account earns 12%, how much will be in the account at the end of 30 years?
- You are going to retire 30 years from now and plan to live for another 25 years. You can earn 8% on your investment for the next 55 years. You just deposited $15,000 into the investment account. You w
- You wish to retire with $4,100,000 in exactly 47 years. You can put your money into a bank account that pays APR of 8.8%, compounded 4 times per year. Assuming that you do not have to pay any taxes on this money, how much must you deposit every three mont
- You have $20,000 you want to invest for the next 40 years. You are offered an investment plan that will pay you 7% per year for the next 20 years and 11% per year for the last 20 years. How much will you have at the end of 40 years? Does it matter if the
- You plan to invest $2,000 in an individual retirement arrangement (IRA) today at a nominal annual rate of 8%, which is expected to apply to all future years. What is the effective annual rate, EAR, at the end of 10 years if the interest is compounded dail