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The neighbourhood grocery store owned by Raoul needs $22,500 to upgrade its fixtures and coolers. If Raoul contributes $3,000 at the start of every quarter into a fund earning 5.4% compounded quarterly, how long will it take him to save up the needed funds for his store's upgrades?
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- Mr. Crabapple wants to donate money now for an account that will allow a favored charity to make $17,000 withdrawals at the end of each of years 19 to 44. How much should he contribute today if investment managers Dogwood Associates expect to earn returns averaging 4.3% per year on the charity's foundation account? (This is a 26-year deferred annuity, with $17,000 to be paid out at the end of each of years 19 to 44.) A. $128,584.54 B. $115,644.17 C $263,040.12 D. $123,283.36 E. $156,230.80Karl Yates needs $5,000 to pay for the remodeling work on his house. A contractor agrees to do the work in 10 months. How much should Karl deposit at 6.3% in order to accumulate the $5,000 by that time? Karl should deposit $. (Round to the nearest cent.)Carolyn is helping to save for her granddaughter’s college fund. It will probably take 18 years before she is in college, and Carolyn estimates she will need to save $150,000. If she earns 6% per annum, the amount that should be deposited every year for the next 18 years beginning today, is $4,853. $4,579. $4,443. $8,333.
- A tithe of $35,000 is made to a local church. The money is to be invested and the accumulated amount used to purchase a new youth group bus. How long will it take for the tithe to double in value if the money is invested at 7.75% APR compounded monthly?MarySullivan, capital outlay manager for Waxy Widgets, has been instructed toestablish a contingency fund to cover the expenses over the next two years (24months) associated with repairing defective widgets from a new production process.Waxy Widgets’ controller wants to make equal monthly cash deposits into thisfund. If Mary faces the following monthly repair costs and has $1 million tostart the fund today, what will be her monthlypayments into the fund in order to assume that all repair costs will becovered? Mary will make her first payment one month from today, and the fundwill earn 6 percent, compounded monthly. Months Repair Costs perMonth 1–4 $500,000 5–12 $250,000 13–24 $100,000Clarissa wants to fund a growing perpetuity that will pay $10,000 per year to a local museum, starting next year. She wants the annual amount paid to the museum to gro by 5% per year. Given that the interest rate is 9%, how much does she need to fund this perpetuity?
- Chen's family is saving for a home renovation that they would like to pay for with cash. They would like to begin the renovations at the end of 12 years. At the end of each year, the family deposits money into an account that earns 5% compounded annually. At the end of year 1, they save $10,000. They plan to increase the amount that they save by a constant amount, X. What will be the correct value of X, assuming their renovation costs $150,000?The Pithybottoms want to make a donation to set up a scholarship trust fund at Hinose College. The fund is to support payments of $5,000 at the end of every three months in perpetuity. If the fund earns 7.5% compounded quarterly, how much must they donate?Imagine you are a philanthropist who would like to donate to a charity that provides shelter and assistance to homeless individuals. You would like to donate enough money to the charity to ensure that they can provide shelter for 13 homeless individuals every year in perpetuity. The cost of providing shelter per individual is $140 per day. If your investment fund pays a return of 2% per year, how much do you need to donate to the charity now so
- A couple wants to set up a college fund for their child. The fund will give the child $1,000 per month for 48 months. The first withdrawal will occur when the child turns 18 years old. Assume that the college fund will earn j12=6%. a) How much money will need to be in the account on the child's 18th birthday in order to sustain the withdrawals? b) How much money should be set aside to establish the fund on the child's first birthday?The Calvarusos have decided to invest in a college fund for their young son. They invested $40,000 in a deferred annuity that will pay their son at the beginning of every month for 4 years, while he goes to college. If the account earns 2.50% compounded monthly and the annuity payments are deferred for 15 years, what will be the size of the monthly payments?Mary Cooper, Sheldon's mother, who lives in east Texas, wants to help pay for her grandchild's education. How long will it take Mary to reach her goal of $295,000 if she invests $10,000 per year, earning 6 percent? Use Appendix A-3 or the Garman/Forgue companion website. Round your answer to the nearest half-year. years