An investor was afraid that he would become like King Lear in his retirement and beg hospitality from his children, so he purchased grain "tithes," or shares in farm output, for 540 pounds. The tithes paid him 65 pounds per year for 31 years. What interest rate did the he receive on this investment? What is the interest rate?
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Problem 5-34 Calculating Annuity Interest Rates [LO 4]
An investor was afraid that he would become like King Lear in his retirement and beg hospitality from his children, so he purchased grain "tithes," or shares in farm output, for 540 pounds. The tithes paid him 65 pounds per year for 31 years. What interest rate did the he receive on this investment?
What is the interest rate?
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- Problem 7.5. Fair value of annuity payments Mrs. Lata aged 35 wanted to purchase an annuity from a life insurance company The annuity would pay her Rs 70,000 until she lives. The insurance company expected that she would live for 35 more years and it would be willing to pay 8 percent on the annuity. How much should the insurance company ask Mrs. Lata to pay for the annuity?Problem 4 FUTURE VALUE OF AN ANNUITY. Your client is 40 years old; and she wants to begin saving for retirement, with the first payment to come one year from now. She can save $5,000 per year; and you advise her to invest it in the stock market, which you expect to provide an average return of 9% in the future. a. If she follows your advice, how much money will she have at 65? b. How much will she have at 70? c. She expects to live for20 years if she retires at 65 and for 15 years if she retires at 70. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age? Problem 5 FYALUATING LUMP SUMS AND ANNUITIES, Crissie just won the lottery, and she mus lumn sum today of $6Problem 4 and 5-3 Future Value and Number of Annuity Payments Your client has been given a trust fund valued at $1.18 million. He cannot access the money until he turns 65 years old, which is in 25 years. At the time, he can withdraw $21,000 per month. If the trust fund is invested at a 4.5 percent rate, how many months will it last your client once he starts to withdraw the money? (Assume annual compounding. Do not round intermediate calculations and round your final answer to 2 decimal places.) Number of months 156.48
- Problem 5.26 You have just inherited $560,000. You plan to save this money and continue to live off the money that you are earning in your current job. If the $560,000 is everything that you have other than an old car and some beat-up furniture, and you can invest the money in a bond that pays 4.5 percent interest annually, how long will it be before you are a millionaire? (If you solve this problem with algebra round intermediate calculations to 6 decimal places, in all cases round your final answver to two decimal places, e.g. 8.72%.) Number of years Click if you would like to Show Work for this question: Open Show Work[4] Directions: Identify if the problem involves simple interest or compound interest. Then, solve the problem. Show complete solution. Your sister deposited P400.00 into savings account. How much interest will she receive at the end of one year if the interest rate is 3%?CHAPTER 5 Time Value of Money 203 Personal Finance Problem 22 Retirement planning Hal Thomas, a 25-year-old college graduate, wishes to retire at age 65. To supplement other sources of retirement income, he can deposit $2,000 each year into a tax-deferred individual retirement arrangement (IRA). The IRA will earn a 10% return over the next 40 years. a. If Hal makes annual end-of-year $2,000 deposits into the IRA, how much will he have accumulated by the end of his sixty-fiftheyear? b. Personal Finance Problem. 5-23 Value of a retirement annuity Hal decides to wait until age 3.5 to begin making annual end-of-year $2.000 deposits into the IRA, how much will he have accumulated by the end of his c. Using your findings in parts a and b, discuss the impact of delaying making deposits into the IRA for 10 years (age 25 to age 35) on the amount accumulated by the end of Hal's sixty-fifth year. d. Rework parts a, b, and e, assuming that Hal makes all deposits at the beginning. c, rather than…
- A Question 11 You deposit $5000 each year into your retirement account, starting in one year. If these funds earn an average of 5% per year over the 27 years until your retirement, what will be the value of your retirement account upon retirement? Your Answer: Answer Hide hint for Question 11 NOTICE THAT THE ONLINE FINANCIAL CALCULATOR HAS THE BUTTON FOR PAYMENTS MADE AT THE END OF THE PERIOD. THIS IS THE DEFAULT OF THE CALCULATOR, AND THE WORDS 'STARTING IN ONE YEAR' ARE JUST CONFIRMATION THAT YOU WANT THAT END OF THE PERIOD BUTTON SELECTED.Problem 5-9 Calculating Annuity Values (LO 1] Assume you deposit $5,400 at the end of each year into an account paying 10.5 percent interest. a. How much money will you have in the account in 17 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. How much will you have if you make deposits for 34 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) а. Future value b. Future valueProblem 5-10 Calculating Perpetuity Values [LO 1] The Maybe Pay Life Insurance Company is trying to sell you an investment policy that will pay you and your heirs $29,000 per year forever. Assume the required return on this investment is 7.5 percent. How much will you pay for the policy? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. Policy value today
- QUESTION 9 Norbert Chapa is saving for retirement by putting away $6,090.00 every day for 6 years. How much is this investment worth at the end of 6 years if payments begin today" Assume an interest rate of 1.00%. Oa. $35,295.42 b. $12,945,053.24 Oc. $13,745,519.33 O d. $37,466.80QUESTION 3 Sarah invests $900 into her bank account with an annual interest rate of 3.5%. Using the Rule of 70 (NOT the exact solution!) you learned, how many years will it take for her investment to reach $1800? (Round up to the nearest whole number) yearsQuestion 13 You have a 401(k) plan, which is used for retirement savings, at work. If you plan to invest $5,000 at the end of every year for 35 years until you retire, which formula would you use to determine how much you will have when you retire? O future value of an annuity due O present value of a lump-sum future value of an ordinary annuity present value of an ordinary annuity future value of a lump-sum Question 14 You deposit $3,250 into a savings account at a local bank. It will pay you 1.25% compounded monthly for 2 years. To determine how much you will have at the end of that time, which formula would you use? future value of an annuity due O future value of a lump sum O present value of a lump-sum future value of an ordinary annuity
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