Exam 23: Time Value of Money Module

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Balance sheet values are calculated using compound interest (present value) calculations for all of the following except

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Compound interest factors are provided below: 6.728 57.275 0.149 8.514 9365 2.594 15.937 0.386 6.145 6.759 2.653 33.067 0.377 12.462 13.089 1.629 12.578 0.614 7.722 8.108 Future value of a single sum Future value of an ordinaty annuity Present value of a single sum Present value of an ordinary annuity Present value of an annuity due Required: Using the above factors, answer each of the following questions. a.How much will you have in 10 years if you invest $30,000 in an investment that earns 10% semiannually? b.How much do you have to invest today to have $30,000 in 10 years if the investment earns 10% annually? c.How much will you have in 10 years if you invest $15,000 at the end of each year in an investment earning 10% annually? d.How much do you have to invest at the end of each year if you want to accumulate a total of $400,000 at the end of 10 years in an investment paying 10% semiannually?

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Compounding is the conversion of future cash flow amounts to their present value.

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Table factors for present values

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Simple interest on a $1,250,000, 9%, 15-month note is

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On January 2, 2014, Christopher inherited a trust fund that he could use for college tuition. Christopher hopes to make five equal withdrawals of $40,000 from the fund that will earn 10% compounded annually. The first withdrawal will be made on January 2, 2015. How much does he need to have invested in the fund on January 2, 2014, to be able to withdraw the needed amounts each year?

(Multiple Choice)
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On July 7, 2014, Lawrence Company sold some machinery to Johnson Construction Company. The sales contract requires Johnson to pay five equal annual payments of $75,000 each, beginning on July 7, 2014. What present value concept is appropriate for this situation?

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All of the following are conditions for an annuity except

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The present value of a deferred annuity is determined on today's date, because the annuity payments begin some period after today's date.

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The formula for the future value of an ordinary annuity is

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A beginning accounting student has just been introduced to present and future values analysis and has been told that it is based on compound interest, not simple interest. The student is confused about the differences between the two interest methods. Required: Explain the difference between the two methods using a single deposit of $1,000 for two years at 10% interest.

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On August 1, 2014, Jason purchased machinery from Morgan for expanding its production operation. Morgan has given Jason three options for payment: a. $300,000 in cash now b. $150,000 down payment now and $50,000 per year for the next ten years beginning August 1, 2015 c. $100,000 now and $100,000 per year for five years beginning August 1, 2015. Determine which of the above payment plans has the lowest present value. Clearly label all of your work. The effective annual interest rate is expected to be 12% during this period.

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The future value of a single sum is the original principal amount plus the compound interest stated as of a specific future date.

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To calculate the present value of an annuity due the formula is: PVD=C×[1−1(1+i)n+1i+1]P V _ { D } = C \times \left[ \frac { 1 - \frac { 1 } { ( 1 + i ) ^ { n + 1 } } } { i } + 1 \right]

(True/False)
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The present values of ordinary annuities, annuities due, and deferred annuities were discussed in the textbook. Discuss the ways these three annuities are similar and dissimilar.

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Using an appropriate compound interest table, answer the following question. Required: What is the future amount on December 31, 2024, of eleven deposits of $12,000 each with the first deposit being made on December 31, 2014, and interest at 12% compounded annually?

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At the beginning of 2014, Lisa Co. issued bonds with a face value of $700,000 due on December 31, 2020. The company desires to accumulate a fund to retire these bonds at maturity by making equal annual deposits beginning on December 31, 2014. Required: Compute the amount that the company must deposit at the end of each year, assuming that the fund will earn 10% interest a year compounded annually and seven deposits are made.

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Jeff desires to accumulate $13,603.83 by December 1, 2016. To accumulate that sum, he will make six equal semiannual deposits of $2,000, beginning on June 1, 2014, into a fund that earns interest compounded semiannually. What annual rate of interest must the fund provide to yield the desired sum?

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FASB's Statement of Financial Accounting Concepts No. 7 does not address recognition issues and therefore does not address when fair value should be based on present value, but it does provide general principles governing the use of present value and the objectives of present value accounting measurements.

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The future value of an ordinary annuity is determined immediately after the last cash flow in the series occurs.

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