Problem 3 Bob and Carol are divorcing. Among other assets which must be split up is a forty-year annuity- immediate which they purchased ten years ago with level payments of $1,000 per month. Bob would like a lump sum payment while Carol would prefer to continue to receive monthly payments for the thirty years remaining on the annuity. If the prevailing interest rate is a nominal 11% annually compounded monthly, what lump sum payment to Bob would be fair? What will Carol's new payments be?
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- 9. Implied interest rate and period 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.Amanda purchases a retirement annuity that will pay her $2,500 at the end of every six months for the first nine years and $700 at the end of every month for the next six years. The annuity earns interest at a rate of 4% compounded quarterly. a. What was the purchase price of the annuity? b. How much interest did Amanda receive from the annuity? Not use excel9. Implied interest rate and period Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. A. Anthony inherited an annuity worth $3,811.62 from his uncle. The annuity will pay him four equal payments of $1,100 at the end of each year. The annuity fund is offering a return of . B. Anthony’s friend, Jack, wants to go to business school. While his father will share some of the expenses, Jack still needs to put in the rest on his own. But Jack has no money saved for it yet. According to his calculations, it will cost him $32,406 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 10% rate of return. It will take approximately for Jack to save enough money to go to business school.
- 4. Many retired people buy annuities. With an annuity, a saver pays an insurance company a lump- sum amount in return for the company's promise to pay a certain amount per year until the buyer dies. With an ordinary annuity, when the buyer dies, there is no final payment to his or her heirs. Suppose that at age 65, David Alexander pays $180,000 for an annuity that promises to pay him $20,000 per year for the remaining years of his life. (a) If David dies 20 years after buying the annuity, write an equation that would allow you to calculate the interest rate (yield to maturity) that David received on his annuity (b) If David dies 17 years after buying the annuity, will the interest rate be higher or lower than if he dies after 20 years? Briefly explain.9. Implied interest rate and period Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. Joshua inherited an annuity worth $6,830.77 from his uncle. The annuity will pay him eight equal payments of $1,100 at the end of each year. The annuity fund is offering a return of Joshua's friend, willie, has hired a financial planner for advice on retirement. Considering Willie's current expenses and expected future lifestyle changes, the financial planner has stated that once Willie crosses a threshold of $1,387,311 in savings, he will have enough money for retirement. Willie has nothing saved for his retirement yet, so he plans to start depositing $25,000 in a retirement fund at a fixed rate of 6.00% at the end of each year. It will take v for Willie to reach his retirement goal.Annuity A. Edward purchased an annuity for $30,000. The annuity will pay Edward $700 per month for 10 years. What is the exclusion ratio? How much is excluded each year? How much is taxable each year? B. Edward purchased an annuity for $120,000 when he was 64 that would pay him $700 per month for the rest of his life. What is the expected return from the contract?
- Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. Matthew needed money for some unexpected expenses, so he borrowed $3,900.55 from a friend and agreed to repay the loan in four equal installments of $1,100 at the end of each year. The agreement is offering an implied interest rate of Matthew's friend, Gregory, has hired a financial planner for advice on retirement. Considering Gregory's current expenses and expected future lifestyle changes, the financial planner has stated that once Gregory crosses a threshold of $4,136,860 in savings, he will have enough money for retirement. Gregory has nothing saved for his retirement yet, so he plans to start depositing $40,000 in a retirement fund at a fixed rate of 5.00% at the end of each year. It will take for Gregory to reach his retirement goal.Deline inherits Goo coo. She decides to have it pond to her in two payments: one payment four years from now and the Second Payment twice the size of the payment light years from now, if money is worth 12,6% Compounded Quarterly, then the amount of money that Delive expects to receive eight years from now is? A. R888 783,67 B 888 317,96 C 444 391,83 D. 442 658198Michael and Ellie plan on retiring 32 years from today. At that time, they plan to have saved the same amount. Michael is depositing $18,000 today at an annual interest rate of 4.2 percent. How will Ellie's deposit amount vary from Michael's if Ellie also makes a deposit today, but earns an annual interest rate of 3.2 percent? Ellie's deposit will need to be than Michaels. (Assume annual compounding on both accounts.) O $4,118.42 more $6,506.94 more $3,417.09 more $4,702.92 less None of the above
- Sandra plans to retire and can receive a lump sum of $26,376 from her pension provider. She decides to invest of the lump sum for 8 years and use the rest for 3 travelling. Her bank account pays 4.99% compound interest per annum. How much interest will Sandra receive from this investment after 8 years? Round your answer to the nearest thousand dollars. %24heirs 2. You are willing to pay. $15,625 now to purchase a perpetuity which will pay you $1,350 each year, forever, starting at the end of this year. If your required rate of return does not change, how much would you be willing to pay if this were a 20-year, annual payment, ordinary annuity instead of a perpetuity? and your6. If you desire to have $80,000 for a down payment for a house in 7 years, what amount would you need to deposit each year for these 7 years? Assume that your money will earn 10 percent per year. 7. Kate deposits $9,900 each yearinto her retirement account. If these funds have an average earning of 11 percent over the 40 years until her retirement, what will be the value of her retirement account?