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Exam 6: Time Value of Money Concepts

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Question 21

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Jose wants to cash in his winning lottery ticket. He can either receive five, $5,000 semiannual payments starting today, or he can receive a lump-sum payment now based on a 6% annual interest rate. What would be the lump-sum payment?

A) $23,586.
B) $22,899.
C) $21,565.
D) $23,000.PVAD = $ 5,000 x 4.71710* = $23,586 *PVAD of $1: n=5; i=3%

E) C) and D)
F) All of the above

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Question 22

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Hillsdale is considering two options for comparable computer software. Option A will cost $25,000 plus annual license renewals of $1,000 for three years, which includes technical support. Option B will cost $20,000 with technical support being an add-on charge. The estimated cost of technical support is $4,000 the first year, $3,000 the second year, and $2,000 the third year. Assume the software is purchased and paid for at the beginning of year one, but that technical support is paid for at the end of each year. Interest is at 8%. Ignore income taxes. Required: Determine which option should be chosen based on present value considerations.

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Option A should be c...

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Question 23

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Monetary assets include only cash and cash equivalents.

Taylor's tractor-trailer rigs sell for $150,000. A customer wishes to buy a rig on a lease purchase plan over seven years, with the first payment to be made at the inception of the lease. Interest is at 12%. Required: a. Compute the amount of the annual lease payment and the gross amount (total payments) due under the lease. b. Compute the amount of interest income earned by Taylor's for the first year of the lease.

GHI Company will issue $2,000,000 in 8%, 10-year bonds when the market rate of interest is 6%. Interest is paid semiannually. Required: Determine how much cash GHI Company should realize from the bond issue.

Jimmy has $255,906 accumulated in a 401K plan. The fund is earning a low, but safe, 3% a 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?

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?

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 his money. At what lump-sum payment amount would she be indifferent between the two alternatives?

To determine the future value factor for an annuity due for period n when given tables only for an ordinary annuity:

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?

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.

Garland Inc. offers a new employee a lump sum signing bonus at the date of employment, June 1, 2009. Alternatively, the employee can take $39,000 at the date of employment plus $10,000 each June 1 for five years, beginning in 2013. 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?

On January 1, 2009, you are considering making an investment that will pay three annual payments of $10,000. The first payment is not expected until December 31, 2011. You are eager to earn 3%. What is the present value of the investment on January 1, 2009?

Jackpot Mining is obligated to the State of California to restore leased land to its original condition after its mining activities are over in six years. The cash flow possibilities and probabilities for the restoration costs in six years are as follows: The company's credit-adjusted risk-free interest rate is 4%. Required: Calculate the liability that Jackpot must record at the beginning of the project for the restoration costs. $\begin{array} { c c } \text { Cash Outflow } & \text { Probability } \\\hline \text { \$5 million } & 10 \% \\10 \text { million } & 30 \% \\12 \text { million } & 40 \% \\15 \text { million } & 20 \%\end{array}$

Suppose that Healdsburg renegotiates the 8% notes on December 31, 2014 when the going interest rate is 8%. Healdsburg agrees to make 12 equal annual installments, commencing on December 31, 2015, rather than pay the $225 million in a lump sum at maturity. What would the annual payments be?

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:

Price Mart is considering outsourcing its billing operations. A consultant estimates that outsourcing should result in after-tax cash savings of $9,000 the first year, $15,000 for the next two years, and $18,000 for the next two years. Interest is at 12%. Assume cash flows occur at the end of the year. Required: Calculate the total present value of the cash flows.

Suppose that Healdsburg enters into a sales contract with an auto manufacturer on January 1, 2009, to provide tires that cost Healdsburg $18 million to produce. The buyer offers Healdsburg $6 million in cash and agrees to take over the principal payment only on Healdsburg 's 6.55% debt notes. Assume that the going market interest is 7% at the time. What would Healdsburg's gross profit be on the sale?

Santa Cruz Oil is obligated to the State of Nevada to restore leased land to its original condition after its oil drilling activities are over in four years. The cash flow possibilities are probabilities for the restoration costs in four years are as follows: The company's credit-adjusted risk-free interest rate is 6%. Required: Calculate the liability that Santa Cruz must record at the beginning of the project for the restoration costs. $\begin{array} { c c } \text { Cash Outflow } & \text { Probability } \\\hline \$ 20 \text { million } & 20 \% \\30 \text { million } & 40 \% \\40 \text { million } & 30 \% \\50 \text { million } & 10 \%\end{array}$

Briefly describe the difference between simple interest and compound interest.