Concept explainers
To calculate: The
Introduction:
Future Value:
The value of an investment or asset in a future time period is termed as future value. It is calculated by multiplying the
Present value:
The current value of an investment or asset is termed as its present value. It is calculated by discounting the future value of the investment or asset.
Annuity:
When payments are made or received in a series at equivalent intervals, they are termed as an annuity. Such payments can be made weekly, monthly, quarterly, or annually.
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Loose Leaf for Foundations of Financial Management Format: Loose-leaf
- Joe has an amount of money X that he would like to invest in some way. He has two options: He can invest the money in an account that pays an annual effective rate of interest of 9%. Joe would receive an interest payment at the end of each year and reinvest it in another account that pays an annual effective rate of interest of 6%. This will continue for 15 years. Joe can lend the money to his friend Ted, who will repay Joe with a series of 15 yearly payments. Each payment will be $100, and the first payment will occur in one year. Joe will reinvest these payments at an annual effective rate of interest of 6%. Joe notices that the amount of money that he will have at the end of 15 years is the same under either option. To the nearest dollar, what is the amount of money X? A $406.00 B $417.00 C $752.00 D $1,063.00 E $1,111.00arrow_forwardBill Padley expects to invest $10,000 for 25 years, after which he wants to receive $108,347. What rate of interest must Padley earn?arrow_forwardDean Gooch is planning for his retirement, so he is setting up a payout annuity with his bank. He wishes to receive a payout of $1,500 per month for twenty-five years. (a) How much money must he deposit if his money earns 7.3% interest compounded monthly? (Round your answer to the nearest cent.) (b) Find the total amount that Dean will receive from his payout annuity.arrow_forward
- Mr. Areola is planning to make an additional investment at the end of each year for his retirement in 20 years. Mr. Areola plans to invest $5,000 each year for the first 5 years, $8,000 each year for the next 5 years, and $ 12,000 each year for the remaining 10 years. If the rate of return of 11 percent can be earned in these investments, how much money will Mr. Areola have at the end of 20 years?arrow_forwardJohn is considering the purchase of a lot. He can buy the lot today and expects the price to rise to $15,000 at the end of 10 years. He believes that he should earn an investment yield of 8 percent compounded annually on his investment. The asking price for the lot is $7,000. Should he buy it? What is the internal rate of return compounded annually on the investment if Johnpurchases the property for $7,000 and is able to sell it 10 years later for $15,000?arrow_forwardBill O’Brien would like to take his wife, Mary, on a trip three years from now to Europe to celebrate their 40th anniversary. He has just received a $20,000 inheritance from an uncle and intends to invest it for the trip. Bill estimates the trip will cost $23,500 and he believes he can earn 5% interest, compounded annually, on his investment. Will he be able to pay for the trip with the accumulated investment amount?arrow_forward
- Cameron is saving for his retirement 22 years from now by setting up a savings plan. He has set up a savings plan wherein he will deposit $97.00 at the end of every three months for the next 12 years. Interest is 10% compounded quarterly. (a) How much money will be in his account on the date of his retirement? (b) How much will Cameron contribute? (c) How much will be interest? (a) The future value will be $ (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)arrow_forwardMr. Chew, a retiree, expects to live for the next 20 years and would like to receive a regular retirement income by purchasing an immediate annuity. His desired retirement income is $24,000 per year. The regular pay out is paid immediately on purchase of the annuity. The projected rate of return of the annuity product is 2.5%. To purchase the annuity today, how much Mr Chew would require a lump sum of?arrow_forwardMary is going to receive a 31-year annuity of $8,600 per year. Nancy is going to receive a perpetuity of $8,600 per year. If the appropriate interest rate is 9 percent, how much more is Nancy’s cash flow worth?arrow_forward
- Roger decides to start an investment account by depositing $5,000 today. In one year he will invest $500. He plans to make annual investments that increase by $100 each year ($600 in year two, $700 in year three, etc.). If he earns 9% on his investment, what will his account be worth 6 years from today, assuming he compounds annuallyarrow_forwardKatrina is planning to make an additional investment at the end of each year for his retirement in 20 years. Katrina plans to invest $5,000 each year for the first 5 years, $8,000 each year for the next 5 years, and $ 12,000 each year for the remaining 10 years. If the rate of return of 11 percent can be earned in these investments, how much money will Katrina have at the end of 20 years? (Answer must have step by step explainations.)arrow_forwardTroy is saving for his retirement 24 years from now by setting up a savings plan. He has set up a savings plan wherein he will deposit $115.00 at the end of every three months for the next 11 years. Interest is 9% compounded quarterly. (a) How much money will be in his account on the date of his retirement? (b) How much will Troy contribute? (c) How much will be interest? (a) The future value will be $ (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)arrow_forward
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENTExcel Applications for Accounting PrinciplesAccountingISBN:9781111581565Author:Gaylord N. SmithPublisher:Cengage Learning