1. If you want to have $500,000 when you retire and you put $85,000 in your retirement account right now, and you can get an interest rate of 5.2% a year, how many years will it take you to achieve your goal? 2. Sammy decides to set up a retirement fund. He deposits $7,000 a year. He earns an annual interest rate of 4.5. How much will Sammy have in his retirement fund in 25 years? 3. Sammy wants to see what his retirement fund would be if he made $7,000 deposits at the first of every year instead of at the end. How much will Sammy have im his retirement fund in 25 years at the rate of 4.5% if the deposits are made at the beginning of the year? 4. Sammy wants to help a fellow small business owner. The other owner, Mr. Noles offers to pay Sammy $4,250 a year for 8 years in exchange for a loan of $28,000. If the interest rate is 4.2%, is this a good investment for Sammy? What is the present value of this annuity?

1. If you want to have $500,000 when you retire and you put $85,000 in your retirement account right now, and you can get an interest rate of 5.2% a year, how many years will it take you to achieve your goal? 2. Sammy decides to set up a retirement fund. He deposits $7,000 a year. He earns an annual interest rate of 4.5. How much will Sammy have in his retirement fund in 25 years? 3. Sammy wants to see what his retirement fund would be if he made $7,000 deposits at the first of every year instead of at the end. How much will Sammy have im his retirement fund in 25 years at the rate of 4.5% if the deposits are made at the beginning of the year? 4. Sammy wants to help a fellow small business owner. The other owner, Mr. Noles offers to pay Sammy $4,250 a year for 8 years in exchange for a loan of $28,000. If the interest rate is 4.2%, is this a good investment for Sammy? What is the present value of this annuity?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Baghiben
Your parents will retire in 26 years. They currently have $230,000 saved, and they think they will need $1,250,000 at retirement. What annual interest rate must they earn to reach their goal, assuming they don't save any additional funds? Round your answer to two decimal places.
How much does Herbert need to save each year for 10 years as a regular savings payment if he wants to retire in exactly 10 years with $1,023,000.00, can earn 13.13 percent on his savings, starts making regular savings payments in exactly 1 year, and saves an equal amount each year with one exception, which is that in 1 years, he plans to make an extra contribution of $30,600.00 to savings?(ROUND THE VALUE TO 0 DECIMAL AND ENTER THE POSITIVE VALUE)
Suppose that Paolo is 45 years old and has no retirement savings. He wants to begin saving for retirement, with the first payment coming one year from now. He can save $12,000 per year and will invest that amount in the stock market, where it is expected to yield an average annual return of 8.00% return. Assume that this rate will be constant for the rest of his's life. Paolo would like to calculate how much money he will have at age 65. Using a financial calculator yields a future value of this ordinary annuity to be approximately Paolo would now like to calculate how much money he will have at age 70. Using a financial calculator yields a future value of this ordinary annuity to be approximately at age 65. Paolo expects to live for another 25 years if he retires at age 65, with the same expected percent return on investments in the stock market. Using a financial calculator, you can calculate that Paolo can withdraw retirement at age 65), assuming a fixed withdrawal each year and $0…
Shelly Franks is planning for her retirement, so she is setting up a payout annuity with her bank. She is now 35 years old, and she will retire when she is 65. She wants to receive annual payouts for twenty years, and she wants those payouts to receive an annual COLA of 4%. a. She wants her first payout to have the same purchasing power as does $15,000 today. How big should that payout be if she assumes inflation of 4% per year? b. How much money must she deposit when she is 65 if her money earns 8.3% interest per year? c. How large a monthly payment must she make if she saves for her payout annuity with an ordinary annuity? (The two annuities pay the same interest rate.) d. How large a monthly payment would she make if she waits until she is 40 before starting her ordinary annuity?
Problem 2. Dean Sundaram is expected to retire in 30 years and he wishes to accumulate $800,000 in his retirement fund by that time (t=30). If the interest rate is 12% per year, how much should Dean Sundaram put into the retirement fund each year (at the end of each year, from t=1 to t=30) in order to achieve this goal?
2. (a) A college student, Amy, decides to fund a retirement account with $2000 per year for 8 years, with the first deposit made one year from today. The rate of return will be 10%. How much will she have in her account when she retires in 40 years? (b) Amy’s friend, Dacio, decides he will start funding his retirement account 8 years from now (first payment in 9 years). He then will invest $2000 each year for 32 years. If his rate of return is 10%, how much will he have when he retires in 40 years?
Your parents will retire in 17 years. They currently have $310,000 saved, and they think they will need $2,200,000 at retirement. What annual interest rate must they earn to reach their goal, assuming they don't save any additional funds? Round your answer to two decimal places. %
Vijay
John, a 25-year-old teacher, wants to start saving for his retirement. John wants a comfortableretirement, so he needs to have one million dollars in his saving account, which pays 2.4% annualinterest rate, when he reaches 67 years of age.a. How much should John deposit into his saving account monthly now? Round your answer to thenearest cent.b. If John wants the one million dollars in his saving account to last him 20 years into hisretirement, how much could he withdraw from the saving account monthly? You can assume thesaving account will pay the same 2.4% annual interest rate. Round your answer to the nearestcent.c. If John increases his monthly deposit in part (a) by $200, how much will be in his saving accountif he wants to retire at 60 years of age? Round your answer to the nearest cent.
3. Your parents will retire in 27 years. They currently have $400,000 saved, and they think they will need $1,850,000 at retirement. What annual interest rate must they earn to reach their goal, assuming they don't save any additional funds? Round your answer to two decimal places. 4. If you deposit money today in an account that pays 12.5% annual interest, how long will it take to double your money? Round your answer to two decimal places.= years 5. You have $10,043.17 in a brokerage account, and you plan to deposit an additional $5,000 at the end of every future year until your account totals $230,000. You expect to earn 13% annually on the account. How many years will it take to reach your goal? Round your answer to the nearest whole number.= years 6. What's the future value of a 9%, 5-year ordinary annuity that pays $700 each year? If this was an annuity due, what would its future value be? Do not round intermediate calculations. Round your answers to the…
John would like to accumulate $100,000 by the time his son starts college in ten years. What amount would he need to deposit now in a deposit account earning 5%, compounded yearly, to accumulate his savings goal? What if interest is compounded semiannually?

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