Your grandparents would like to establish a trust fund that will pay you and your heirs $210,000 per year forever with the first payment 13 years from today. If the trust fund earns an annual return of 41 percent, how much must your grandparents deposit today?

Your sister turned 35 today, and she is planning to save $60,000 per year for retirement, with the first deposit to be made one year from today. She will invest in a mutual fund that's expected to provide a return of 7.5% per year. She plans to retire 30 years from today, when she turns 65, and she expects to live for 25 years after retirement, to age 90. Under these assumptions, how much can she spend each year after she retires? Her first withdrawal will be made at the end of her first retirement year.   a. $266,770.46     b. $556,561.79     c. $598,303.93     d. $517,731.90     e. $248,158.57

You want to leave a small amount for two of your children, Kira, aged 68 and Fred, aged 63. Kira will retire at 70 (t = 2), as will Fred (t = 7). You want each to have $500,000 per year for the rest of their lives, payable at the beginning of each year. You expect each to live to 95. The annual interest rate is expected to be 9%. How much money would you need to deposit today in an account to fund these kids' retirement?

Your grandparents would like to establish a trust fund that will pay you and your heirs $135,000 per year forever with the first payment 12 years from today If the trust fund earns an annual return of 26 percent, how much must your grandparents deposit today?

A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $3000 . Each year after that, you will receive a payment on the anniversary of the last payment that is 7% larger than the last payment. This pattern of payments will go on forever. Assume that the interest rate is 9% per year. a. What is today's value of the bequest? b. What is the value of the bequest immediately after the first payment is made?

Ed Long promised to pay his son $320 semiannually for 12 years. Assume Ed can invest his money at 6% in an ordinary annuity. How much must Ed invest today to pay his son $320 semiannually for 12 years?

You own a car with somewhat high fuel consumption. It is 10 years old and can be sold now for $3,000 cash. Assume its market value (MV) in two years will be $500. The annual maintenance expenses are expected to be $400 into the foreseeable future, and the car averages only 2 miles per gallon of fuel. Gasoline costs $5.00 per gallon, and the car will be used for about 200 miles per year. If you sell the old car, you can buy a newer model for $10,000. It will be under a maintenance warranty for two years, so this expense is negligible. The newer car will average 10 miles per gallon of fuel and will have an MV of $7,000 in two years. Use a two-year study period to determine which alternative is preferred. The MARR is 15% per year. State your assumptions.