Mike and Emily each have invested $100,000 in an investment account. No other contributions will be made to their investment account. Both have the same goal; they each want their account to reach $3,000,000 at which time each will retire. Mike has his money invested in risk-free securities with an expected return of 12% compounded monthly. Emily has her money invested in a stock fund with an expected return of 15% compounded quarterly. How many years after Emily retires will Mike retire?
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![Mike and Emily each have invested $100,000 in an investment account. No other contributions
will be made to their investment account. Both have the same goal; they each want their account
to reach $3,000,000 at which time each will retire. Mike has his money invested in risk-free
securities with an expected return of 12% compounded monthly. Emily has her money invested
in a stock fund with an expected return of 15% compounded quarterly. How many years after
Emily retires will Mike retire?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadc11967-61c7-4498-9260-8e2ef530ac02%2F147707a9-b941-4d5e-90cf-bdb82c1bb3b2%2F35cjvc_processed.jpeg&w=3840&q=75)
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- Trent and Doris Phillips have a new grandchild, William. They want to create a trust fund for him that will yield $280,000 on his 18th birthday. a) What lump sum would they have to deposit now at 5.4%, compounded continuously, to achieve $280,000? b) Trent and Doris decide instead to invest a constant money stream of R(t) dollars per year. Find R(t) such that the accumulated future value of the continuous money stream is $280,000, assuming an interest rate of 5.4%, compounded continuously. a) To achieve $280,000, they would have to deposit $ (Round to the nearest cent as needed.) b) To achieve $280,000, they would need a constant money stream of $ per year. (Round to the nearest cent as needed.)Mike and Emily each have invested $100, 000 in an investment account. No other contributions will be made to their investment account. Both have the sarne goal; they each want their account to reach $3,000,000 at which time each will retire. Mike has his money invested in risk free securities with an expected return of 12% compounded monthly. Emily has her money invested in a stock fund with an expected return of 15% compounded quarterly. How many years after Emily retires will Mike retire?Ella and Aaron Martin together earn approximately $92,000 a year after taxes. Through an inheritance and some wise investing, they also have an investment portfolio with a value of almost $200,000. a. How much of their annual income do you recommend the Martins hold in some form of liquid savings as reserves? Explain. b. How much of their investment portfolio do you recommend they hold in savins and other short-term investment vehicles? Explain. c. How much, in total, should they hold in short-term liquid assets?
- Ella and Aaron Martin together earn approximately $92,000 a year after taxes. Through an inheritance and some wise investing, they also have an investment portfolio with a value of almost $200,000. a. how much of annual income do you reccoment they hold in liquid savings as reserves? why? b. How much of their investment portfolio do you reccoment they hold in savings and other short term vehicles? Explain. c. How much, in total, should they hold in short term liquid assets? Determine the right amount of short term, liquid assets. (Explain.) (Explain.) How much in total in liquid assets:An investment will pay $150 at the end of each of the next 3 years, $200 at the end of Year 4, $400 at the end of Year 5, and $550 at the end of Year 6. If other investments of equal risk earn 8% annually, what is its present value? Its future value? Allison and Leslie, who are twins, just received $35,000 each for their 26th birthday. They both have aspirations to become millionaires. Each plans to make a $5,000 annual contribution to her "early retirement fund" on her birthday, beginning a year from today. Allison opened an account with the Safety First Bond Fund, a mutual fund that invests in high-quality bonds whose investors have earned 8% per year in the past. Leslie invested in the New Issue Bio-Tech Fund, which invests in small, newly issued bio-tech stocks and whose investors have earned an average of 14% per year in the fund's relatively short history. If the two women’s funds earn the same returns in the future as in the past, how old will each be when she becomes a…Consider the following independent situations. a. Mike Finley wishes to become a millionaire. His money market fund has a balance of $92,296 and has a guaranteed interest rate of 10%. How many years must Mike leave that balance in the fund in order to get his desired $1,000,000? b. Assume that Sally Williams desires to accumulate $1 million in 15 years using her money market fund balance of $182,696. At what interest rate must Sally’s investment compound annually?
- Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. Ryan inherited an annuity worth $3,280.16 from his uncle. The annuity will pay him five equal payments of $800 at the end of each year. The annuity fund is offering a return of . Ryan’s friend, Sebastian, wants to go to business school. While his father will share some of the expenses, Sebastian still needs to put in the rest on his own. But Sebastian has no money saved for it yet. According to his calculations, it will cost him $30,044 to complete the business program, including tuition, cost of living, and other expenses. He has decided to deposit $4,200 at the end of every year in a mutual fund, from which he expects to earn a fixed 7% rate of return. It will take approximately for Sebastian to save enough money to go to business school.Over the years, Ahmed and Aamina El-zayaty, of Berkeley, CA,desire an annual retirement income of $200,000 in their employer-sponsored retirement plans. Given that their parents all lived to be in their 90s, they each expect to live for 30 years past retirement. If the couple could earn 3 percent after-tax and after-inflation rate of return on their investments, what amount of accumulated savings and investments would they need?Two people plan to invest $50,000. Matt is going to invest it in one lump sum and leave it in the account for 25 years to use for retirement. Sarah is going to invest $2000 per year for 25 years and will also use the money in the account for retirement. Is it reasonable to expect that Matt will have more money in his account than Sarah does in 25 years if both accounts earn the same interest?
- Kathy and Mark Smith believe investing in their retirement is critical. Kathy began investing 20% of each paycheck in a retirement account when she was 20 years old. She has saved four times more than Mark who began saving when he was 35. If their total retirement savings equals $1,450,000, how much are Kathy's and Mark's investments worth?Thomas Finley wishes to become a millionaire. His money market fund has a balance of $183,204 and has a guaranteed interest rate of 10%. How many years must Thomas leave that balance in the fund in order to get his desired $926,000?2. Marjorie Yan recently retired from work and wants to use a portion of her retirement money for investment. She has two investment options, namely (1) a bond fund, and (2) a stock fund. Each investment would be for one year and will give a return to of 6% for the bond fund and 10% for stock fund. Whatever portion of her retirement money she commits for investment, she wants to invest at least 25% of that amount in the bond fund. Moreover, she wants to select a mix that will give her a total return of at least 7.5%. Marjorie wants to determine the percentage that should be allocated to each possible investment alternative to maximize * returns. 1 Add File