MC#6

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Today Thomas deposited $100,000 in a three-year, 12% CD that compounds quarterly. What is the maturity value of the CD?

C. $142,576.

Carol wants to invest money in a 6% CD account that compounds semiannually. Carol would like the account to have a balance of $50,000 five years from now. How much must Carol deposit to accomplish her goal?

C. $37,205.

Shane wants to invest money in a 6% CD account that compounds semiannually. Shane would like the account to have a balance of $100,000 four years from now. How much must Shane deposit to accomplish his goal?

B. $78,941.

. Bill wants to give Maria a $500,000 gift in seven years. If money is worth 6% compounded semiannually, what is Maria's gift worth today?

D. $330,560.

Monica wants to sell her share of an investment to Barney for $50,000 in three years. If money is worth 6% compounded semiannually, what would Monica accept today?

B. $41,874.

At the end of the next four years, a new machine is expected to generate net cash flows of $8,000, $12,000, $10,000, and $15,000, respectively. What are the (rounded) cash flows worth today if a 3% interest rate properly reflects the time value of money in this situation?

A. $41,556.

At the end of each quarter, Patti deposits $500 into an account that pays 12% interest compounded quarterly. How much will Patti have in the account in three years?

A. $7,096.

Sondra deposits $2,000 in an IRA account on April 15, 2011. Assume the account will earn 3% annually. If she repeats this for the next nine years, how much will she have on deposit on April 14, 2021?

C. $23,616.

Shelley wants to cash in her winning lottery ticket. She can either receive ten, $100,000 semiannual payments starting today, or she can receive a lump-sum payment now based on a 6% annual interest rate. What is the equivalent lump-sum payment?

D. $878,611.

On January 1, 2011, you are considering making an investment that will pay three annual payments of $10,000. The first payment is not expected until December 31, 2013. You are eager to earn 3%. What is the present value of the investment on January 1, 2011?

A. $26,662.

On January 1, 2011, you are considering making an investment that will pay three annual payments of $10,000. The first payment is not expected until December 31, 2014. You are eager to earn 3%. What is the present value of the investment on January 1, 2011?

B. $25,886.

Rosie's Florist borrows $300,000 to be paid off in six years. The loan payments are semiannual with the first payment due in six months, and interest is at 6%. What is the amount of each payment?

C. $30,139.

Jimmy has $255,906 accumulated in a 401K plan. The fund is earning a low, but safe, 3% per year. The withdrawals will take place at the end of each year starting a year from now. How soon will the fund be exhausted if Jimmy withdraws $30,000 each year?

B. 10 years.

Debbie has $368,882 accumulated in a 401K plan. The fund is earning a low, but safe, 3% per year. The withdrawals will take place annually starting today. How soon will the fund be exhausted if Debbie withdraws $30,000 each year?

A. 15 years.

Jose wants to cash in his winning lottery ticket. He can either receive five, $5,000 annual payments starting today, or he can receive a lump-sum payment now based on a 3% annual interest rate. What would be the lump-sum payment?

A. $23,586.

Micro Brewery borrows $300,000 to be paid off in three years. The loan payments are semiannual with the first payment due in six months, and interest is at 6%. What is the amount of each payment?

A. $55,379.

A firm leases equipment under a capital lease (analogous to an installment purchase) that calls for twelve semiannual payments of $39,014.40. The first payment is due at the inception of the lease. The annual rate on the lease is 6%. What is the value of the leased asset at inception of the lease?

B. $400,000.

Reba wishes to know how much would be in her savings account if she deposits a given sum in an account and leaves it there at 6% interest for five years. She should use a table for the:
A. Future value of an ordinary annuity of 1.

B. Future value of 1.

Ajax Company purchased a five-year certificate of deposit for its building fund in the amount of $220,000. How much should the certificate of deposit be worth at the end of five years if interest is compounded at an annual rate of 9%?

D. $338,496.

How much must be invested now at 9% interest to accumulate to $10,000 in five years?

B. $6,499.

How much must be deposited at the beginning of each year in order to accumulate to $10,000 in four years if interest is at 9%?

D. $2,006.

Claudine Corporation will deposit $5,000 into a money market sinking fund at the end of each year for the next five years. How much will accumulate by the end of the fifth and final payment if the sinking fund earns 9% interest?
A. $32,617.

B. $29,924.

Mustard's Inc. sold the rights to use one of its patented processes that will result in cash receipts of $2,500 at the end of each of the next four years and a lump sum receipt of $4,000 at the end of the fifth year. The total present value of these payments if interest is at 9% is:

A. $10,699.

An investment product promises to pay $42,000 at the end of ten years. If an investor feels this investment should produce a rate of return of 12 percent, compounded annually, what's the most the investor should be willing to pay for the investment?

B. $13,523.

Spielberg Inc. signed a $200,000 noninterest-bearing note due in five years from a production company eager to do business. Comparable borrowings have carried an 11% interest rate. At what amount should this debt be valued at its inception?

C. $118,690.

On October 1, 2011, Justine Company purchased equipment from Napa Inc. in exchange for a noninterest-bearing note payable in five equal annual payments of $500,000, beginning Oct 1, 2012. Similar borrowings have carried an 11% interest rate. The equipment would be recorded at:

C. $1,847,950.

Titanic Corporation leased executive limos under terms of $20,000 down and four equal annual payments of $30,000 on the anniversary date of the lease. The interest rate implicit in the lease is 11%. The first year's interest expense would be:

B. $10,238.

Polo Publishers purchased a multi-color offset press with terms of $50,000 down and a noninterest-bearing note requiring payment of $20,000 at the end of each year for five years. The interest rate implicit in the purchase contract is 11%. Polo would record the asset at:

B. $123,918.

Mary Alice just won the lottery and is trying to decide between the annual cash flow payment option of $250,000 per year for 25 years beginning today and the lump sum option. Mary Alice can earn 6 percent investing this money. At what lump-sum payment amount would she be indifferent between the two alternatives?

D. $3,387,590.

An investor purchases a 20-year, $1,000 par value bond that pays semiannual interest of $40. If the semiannual market rate of interest is five percent, what is the current market value of the bond?

A. $858.

Simpson Mining is obligated to restore leased land to its original condition after its excavation activities are over in three years. The cash flow possibilities and probabilities for the restoration costs in three years are as follows:
Cash Outflow Probability
100,000 40%
150,000 30%
200,000 30%
The company's credit-adjusted risk-free interest rate is 5%. The liability that Simpson must record at the beginning of the project for the restoration costs is:

C. $125,257.

A series of equal periodic payments that starts more than one period after the agreement is called:

D. A deferred annuity.

A series of equal periodic payments in which the first payment is made one compounding period after the date of the contract is:

B. An ordinary annuity.

Loan A has the same original principal, interest rate, and payment amount as Loan B. However, Loan A is structured as an annuity due, while Loan B is structured as an ordinary annuity. The maturity date of Loan A will be:

A. Earlier than Loan B.

Yamaha Inc. hires a new chief financial officer and promises to pay him a lump sum bonus four years after he joins the company. The new CFO insists that the company invest an amount of money at the beginning of each year in a 7% fixed rate investment fund to insure the bonus will be available. To determine the amount that must be invested each year, a computation must be made using the formula for:

C. The future value of an annuity due.

Zulu Corporation hires a new chief executive officer and promises to pay her a signing bonus of $2 million per year for 10 years, starting five years after she joins the company. The liability for this bonus when the CEO is hired:

A. Is the present value of a deferred annuity.

Which of the following must be known to compute the interest rate paid from financing an asset purchase with an annuity?

B. Present value of the annuity, dollar amount and timing of the annuity payments.

Davenport Inc. offers a new employee a lump sum signing bonus at the date of employment. Alternatively, the employee can take $30,000 at the date of employment and another $50,000 two years later. Assuming the employee's time value of money is 8% annually, what lump sum at employment date would make her indifferent between the two options?

C. $72,867.

. Quaker State Inc. offers a new employee a lump sum signing bonus at the date of employment. Alternatively, the employee can take $8,000 at the date of employment plus $20,000 at the end of each of his first three years of service. Assuming the employee's time value of money is 10% annually, what lump sum at employment date would make him indifferent between the two options?

B. $57,737.

Garland Inc. offers a new employee a lump sum signing bonus at the date of employment, June 1, 2011. Alternatively, the employee can take $39,000 at the date of employment plus $10,000 each June 1 for five years, beginning in 2015. Assuming the employee's time value of money is 9% annually, what lump sum at employment date would make him indifferent between the two options?

C. $69,035

On January 1, 2011, Glanville Company sold goods to Otter Corporation. Otter signed a noninterest-bearing note requiring payment of $15,000 annually for six years. The first payment was made on January 1, 2011. The prevailing rate of interest for this type of note at date of issuance was 8%.
Glanville should record the sales revenue in January 2011 of:

C. $74,891.

Loan C has the same principal amount, payment amount and maturity date as Loan D. However, Loan C is structured as an annuity due while Loan D is structured as an ordinary annuity. Loan C's interest rate is:

A. Higher than Loan D.

Tammy wants to buy a car that costs $10,000 and wishes to know the amount of the monthly payments, which will be made at the first of the month, with interest of 12% on the unpaid balance. She should use a table for the:

C. Present value of an annuity due of 1.

George Jones is planning on a cruise for his 70th birthday party. He wants to know how much he should set aside at the beginning of each month at 6% interest to accumulate the sum of $4,800 in five years. He should use a table for the:

B. Future value of an annuity due of 1.

Sandra won $5,000,000 in the state lottery which she has elected to receive at the end of each month over the next thirty years. She will receive 7% interest on unpaid amounts. To determine the amount of her monthly check, she should use a table for the:

C. Present value of an ordinary annuity of 1.

Koko Company pays $10 million at the beginning of each year for 10 years to Mocha Inc. for a building with a fair value of $75 million. What interest rate is Mocha earning on financing this land sale?

B. Between 7% and 8%.

Kunkle Company wishes to earn 20% annually on its investments. If it makes an investment that equals or exceeds that rate, it considers it a success. Assume that it invests $2 million and gets $500,000 in return at the end of each year fox X years. What is the minimum value of X for which it will consider the investment a success? Assume that it can't invest for fractional parts of a year.

D. 9 years.

Chancellor Ltd. sells an asset with a $1 million fair value to Sophie Inc. Sophie agrees to make 6 equal payments, one year apart, commencing on the date of sale. The payments include principal and 6% annual interest. Compute the annual payments.

D. $191,852.

You borrow $20,000 to buy a boat. The loan is to be paid off in monthly installments over one year at 18 percent interest annually. The first payment is due one month from today. What is the amount of each monthly payment?

C. $1,834.

Fenland Co. plans to retire $100 million in bonds in five years, so it wishes to create a fund by making equal investments at the beginning of each year during that period in an account it expects to earn 8% annually. What amount does Fenland need to invest each year?

A. $15,783,077.

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