Intermediate Accounting
9th Edition
ISBN: 9781259722660
Author: J. David Spiceland, Mark W. Nelson, Wayne M Thomas
Publisher: McGraw-Hill Education
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Chapter 6, Problem 6.9E
Solving for unknowns; annuities
• LO6–8
For each of the following situations involving annuities, solve for the unknown (?). Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (i = interest rate, and n = number of years)
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An annuity due is an annuity for which:
Question 10 options:
A)
the payments are made to repay a loan
B)
the payments are made at the beginning of each payment period
C)
the payments continue forever
D)
the payments are made at the end of each payment period
E)
the payment period is not the same as the conversion period
Question 1
Saved
An annuity with periodic payments made at the end of each payment period is
called:
A) ordinary
Oi general
Cannuity due
O simple
Onone of the above
24. Annuity Due. Recall that an annuity due is like an ordinary annuity except that the first payment is made immediately instead of at
the end of the first period. (U LO3)
a. Why is the present value of an annuity due equal to (1 + r) times the present value of an ordinary annuity?
b. Why is the future value of an annuity due equal to (1 + r) times the future value of an ordinary annuity?
Chapter 6 Solutions
Intermediate Accounting
Ch. 6 - Prob. 6.1QCh. 6 - Explain compound interest.Ch. 6 - Prob. 6.3QCh. 6 - Prob. 6.4QCh. 6 - Prob. 6.5QCh. 6 - Prob. 6.6QCh. 6 - What is an annuity?Ch. 6 - Explain the difference between an ordinary annuity...Ch. 6 - Prob. 6.9QCh. 6 - Prepare a time diagram for the present value of a...
Ch. 6 - Prepare a time diagram for the present value of a...Ch. 6 - What is a deferred annuity?Ch. 6 - Assume that you borrowed 500 from a friend and...Ch. 6 - Compute the required annual payment in Question...Ch. 6 - Explain how the time value of money concept is...Ch. 6 - Prob. 6.1BECh. 6 - Prob. 6.2BECh. 6 - Prob. 6.3BECh. 6 - Present value; single amount LO63 John has an...Ch. 6 - Present value; solving for unknown; single amount ...Ch. 6 - Future value; ordinary annuity LO66 Leslie...Ch. 6 - Future value; annuity due LO66 Refer to the...Ch. 6 - Prob. 6.8BECh. 6 - Prob. 6.9BECh. 6 - Prob. 6.10BECh. 6 - Solve for unknown; annuity LO68 Kingsley Toyota...Ch. 6 - Price of a bond LO69 On December 31, 2018,...Ch. 6 - Lease payment LO69 On September 30, 2018,...Ch. 6 - Prob. 6.1ECh. 6 - Future value; single amounts LO62 Determine the...Ch. 6 - Prob. 6.3ECh. 6 - Prob. 6.4ECh. 6 - Prob. 6.5ECh. 6 - Solving for unknowns; single amounts LO64 For...Ch. 6 - Future value; annuities LO66 Wiseman Video plans...Ch. 6 - Prob. 6.8ECh. 6 - Solving for unknowns; annuities LO68 For each of...Ch. 6 - Prob. 6.10ECh. 6 - Prob. 6.11ECh. 6 - Deferred annuities LO67 Required: Calculate the...Ch. 6 - Prob. 6.13ECh. 6 - Prob. 6.14ECh. 6 - Solving for unknown annuity amount LO68 Required:...Ch. 6 - Prob. 6.16ECh. 6 - Price of a bond LO69 On September 30, 2018, the...Ch. 6 - Price of a bond; interest expense LO69 On June...Ch. 6 - Lease payments LO69 On June 30, 2018,...Ch. 6 - Lease payments; solve for unknown interest rate ...Ch. 6 - Prob. 6.21ECh. 6 - Analysis of alternatives LO63, LO67 Esquire...Ch. 6 - Prob. 6.2PCh. 6 - Analysis of alternatives LO63, LO67 Harding...Ch. 6 - Investment analysis LO63, LO67 John Wiggins is...Ch. 6 - Prob. 6.5PCh. 6 - Prob. 6.6PCh. 6 - Prob. 6.7PCh. 6 - Deferred annuities LO67 On January 1, 2018, the...Ch. 6 - Prob. 6.9PCh. 6 - Noninterest-bearing note; annuity and lump-sum...Ch. 6 - Solving for unknown lease payment LO68, LO69...Ch. 6 - Solving for unknown lease payment; compounding...Ch. 6 - Lease v s. buy alternatives LO63, LO67, LO69...Ch. 6 - Prob. 6.14PCh. 6 - Prob. 6.15PCh. 6 - Prob. 6.1BYPCh. 6 - Prob. 6.2BYPCh. 6 - Prob. 6.3BYPCh. 6 - Prob. 6.4BYPCh. 6 - Judgment Case 65 Replacement decision LO63, LO67...Ch. 6 - Prob. 6.6BYPCh. 6 - Prob. 6.7BYP
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- LO 1 6. Calculating Annuity Values For each of the following annuities, calculate the present value. Annuity Payment Years Interest Rate $ 1,560 1,280 7 5% 10 20,000 18 8. 53,200 28 14arrow_forwardMultiple Choice Question Which of the following is the formula for the present value of a growing annuity? (C is the payment to occur at the end of the first period, r is the interest rate, g is the rate of growth per period expressed as a percentage, and t is the number of periods for the annuity.) Multiple choice question. PV = C(r−g)C(r−g) (1−((1−g)(1−r))t)1−(1-g)(1-r)t PV = C(r−g)C(r−g) (1−((1+g)(1+r))t)1−(1+g)(1+r)t PV = C(r−g)C(r−g) (1−((1−g)(1+r))t)1−(1-g)(1+r)t PV = C(r−g)C(r−g) (1−((1+g)(1−r))t)arrow_forwardHaresharrow_forward
- Q. 4arrow_forward3.4 3 see attachmentarrow_forwardProblem 8: Present Value of an Annuity Refer to each case in the table below to answer what are required in this problem. Find the present value of the annuity, assuming that it is (1) An ordinary annuity. (2) An annuity due. Compare your findings in parts a(1) and a(2). All else being identical, which type of annuity—ordinary or annuity due—is preferable? Explain whyarrow_forward
- In the time diagram below, which of the following concepts is depicted? 0 PV $1 2 $1 3 $1 O Present value of an annuity due O Future value of an ordinary annuity Present value of an ordinary annuity Future value of an annuity due 4 $1arrow_forwardQuestion Suppose that a perpetual annuity has a present value of $33 million. What interest rate r would allow for perpetual annual payouts of $1.8 million? Express the interest rate as a decimal rounded to three decimal places. Do not include the dollar sign in your answer. Provide your answer below: ● Il CURMITarrow_forwardQuestion 2 If the payments "A" are made twice a year and interest is compounded annually for "n" years, name this annuity. 1 2 n- 2 n - 1 MATHalino.com A A A A A A |(Contingent or Certain) (Simple or General) (Ordinary or Annuity Due) dalino.comarrow_forward
- Q3 If the present value of an ordinary, 8-year annuity is $6,100 and interest rates are 8.0 percent, what’s the present value of the same annuity due? (Round your answer to 2 decimal places.) PRESENT VALUEarrow_forward6. Present Value of an Annuity The table below contains information on four different annuities. a) Calculate the present value of each annuity if it is i) An ordinary annuity ii) An annuity due b) Compare your findings. All else being identical, which type of annuity-ordinary annuity or annuity due-is preferable? Why? Part Annual CF Interest Rate Deposit Period A $12,000 B $52,000 C $20,000 D $24,000 8% 10% 6% 12% (Years) 8 15 20 8arrow_forwardAsap plzzzzarrow_forward
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