Finance Midterm Ch5 questions

You have just received notification that you have won the $1.25 million first prize in the Centennial Lottery. The prize will be awarded on your 100th birthday, 79 years from now. The appropriate discount rate is 6.4 percent, compounded annually. What is the present value of your winnings?

$9,300.82

Assume you own a violin currently valued at $64,000. If the value increases by 2.5 percent annually, how much will the violin be worth 15 years from now?

$92,691.08

You're trying to save to buy a new $68,000 sports car. Currently, you have saved $36,840 which is invested at 4.9 percent annually compounded interest. How many years will it be before you purchase the car, assuming the price of the car remains constant?

12.81 years

Assume the total cost of a college education will be $245,000 when your child enters college in 15 years. You presently have $108,000 to invest for this purpose. What annually compounded rate of interest must you earn to cover the cost of your child's college education?

5.61%

You will receive $4,000 at graduation 3 years from now. You plan on investing this money at 5 percent annually compounded interest until you have accumulated $50,000. How many years from today will it be when this occurs?

54.77 years

According to the Rule of 72, you can do which one of the following?

Approximately double your money in 11 years at 6.55 percent interest

Assume your mother invested a lump sum 28 years ago at 4.05 percent interest, compounded annually. Today, she gave you the proceeds of that investment, totaling $48,613.24. How much did your mother originally invest?

$15,994.70

You invested $6,500 at 6 percent simple interest. How much more could you have earned over a 10-year period if the interest had compounded annually?

$1,240.51

Paige wants to have $40,000 for a down payment on a house five years from now. She can either deposit one lump sum today or wait one year and deposit a lump sum then. Assume an interest rate of 3.5 percent, compounded annually. How much additional money must she deposit if she waits for one year rather than making the deposit today?

$1,178.76

You want to have $30,000 saved 5 years from now to buy a house. How much less do you have to deposit today to reach this goal if you can earn 3.5 percent rather than 2.5 percent on your savings? Today's deposit is the only deposit you will make to this savings account. (Assume annual compounding.)

$1,256.43

Claire's coin collection contains fifty 1948 silver dollars. Her grandparents purchased them at their face value in 1948. These coins have appreciated by 7.6 percent annually. How much is the collection expected to be worth in 2025?

$14,077.16

Thanh invested $12,500 in an account that pays 5.75 percent simple interest. How much more could she have earned over a 13-year period if the interest had compounded annually?

$4,012

You hope to buy your dream car five years from now. Today, that car costs $62,500. You expect the price to increase by an average of 2.9 percent per year. How much will your dream car cost by the time you are ready to buy it?

$72,103.59

What is the present value of $45,000 to be received 50 years from today if the discount rate is 8 percent, compounded annually?

$959.46

In 1903, the winner of a competition was paid $50. In 2020, the winner's prize was $235,000. What will the winner's prize be in 2040 if the prize continues increasing at the same rate?

$997,188

Cullen invested $5,000 five years ago and earns 6 percent annual interest. By leaving his interest earnings in her account, he increases the amount of interest he earns each year. His investment is best described as benefitting from:

compounding.

Four years ago, Lucas invested $500. Three years ago, Matt invested $600. Today, these two investments are each worth $800. Assume each account continues to earn its respective rate of return and interest is compounded annually. Which one of the following statements is correct concerning these investments?

One year ago, Lucas's investment was worth less than Matt's investment.

The process of determining the present value of future cash flows in order to know their value today is referred to as:

discounted cash flow valuation.

Your aunt has promised to give you $5,000 when you graduate from college. You expect to graduate three years from now. If you speed up your plans to enable you to graduate two years from now, the present value of the promised gift will:

increase.

Jared invested $100 two years ago at 8 percent interest. The first year, he earned $8 interest on his $100 investment. He reinvested the $8. The second year, he earned $8.64 interest on his $108 investment. The extra $.64 he earned in interest the second year is referred to as:

interest on interest.