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 6.6E
Solving for unknowns; single amounts
• LO6–4
For each of the following situations involving single amounts, solve for the unknown (?). Assume that interest is compounded annually. (i = interest rate, and n = number of years)
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Q#6
For each of the following situations involving single amounts, solve for the unknown. Assume that interest is compounded annually. (i = interest rate, and n = number of years) (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided. Round your final answers to nearest whole dollar amount.)
Present Value
Future Value
i
n
1.
?
$46,000
4.0%
8
2.
$32,854
$59,000
?
12
3.
$13,083
$41,500
8.0%
?
4.
$40,306
$115,000
?
11
5.
$11,608
?
7.0%
13
4.4 Calculating Interest Rates Solve for the unknown interest rate in each of the following:
Present Value Years Interest Rate Future Value
$ 189 4 $287
410 8 887
51,700 14 152,184
21,400 27 538,600
Q. No. 02: Find the future value of the following annuities. The first payment in these annuities is made at the end of Year 1, so they are ordinary annuities.$300 per year for 10 years at 10%$100 per year for 5 years at 5%$300 per year for 5 years at 0%Now rework parts a, b, and c assuming that payments are made at the beginning of each year; that is, they are annuities due.
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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- 4.5 Calculating the Number of Periods Solve for the unknown number of years in each of the following: Present Value Years Interest Rate Future Value $ 625 7% $1,104 810 12 5,275 16,500 17 245, 830 21,500 8 215,000arrow_forwardQ6. You plan to deposit P100 into a savings account at the end of each month for the next 5 years.a.) At 3% compounded monthly, how much will you have accumulated at the end of 5 years?b.) How much difference would it make if the payments were made at the beginning of the monthrather than at the end? Answer: a.) F = P6,464.67, b.) F value difference = P196.63 please show clear solution, the answer has already been given. (although if its wrong please write the answer and solution anyway)arrow_forward(Related to Checkpoint 5.6) (Solving for i) At what annual interest rate, compounded annually, would $510 have to be invested for it to grow to $1,893.19 in 11 years? The annual interest rate, compounded annually, at which $510 must be invested for it to grow to $1,893.19 in 11 years is nothing%. (Round to two decimal places.)arrow_forward
- 12. What is the future value in 180 days of $200,000 deposited now at 9% p.a. simple interest? Select one: a. $191,500.52 b. $209,000.00 c. $218,000.00 d. $208,876.71arrow_forwardChapter 10 Discussion Q2 A perpetuity will pay $900 per year, starting five years after the perpetuity is purchased. What is the present value (PV) at time 0, given that the interest rate is 11%? Show your steps. A) $2695 B) $4312 C) $5390 D) $3234arrow_forwardKF 1. What single payment in 3 years would replace a payment of $7,150.00, 3 years ago and a payment of $10,500.00, 5 years ago? Assume both payments were not paid and that their interest rate is 3.75% compounded quarterly.arrow_forward
- nt question Q1. Find the present value of 30 annual payments of $2,000 per annum where the first payment is made 14 years from now. So there are 30 annual payments from t=14 to t=43 inclusive. The discount rate is 5% pa. The present value of these payments is: Question 8Select one: a. $4,908.18 b. $16,304.68 c. $21,212.85 d. $30,282.15 e. $30,744.9arrow_forwardQ 34 What is the future value of a $830 annuity payment over six years if interest rates are 10 percent? (Do not round intermediate calculations and round your final answer to 2 decimal places.) FUTURE VALUE?arrow_forwardQ.1.If Rs. 4 becomes Rs. 10 in 50 years at simple interest, the rate % p.a. is?arrow_forward
- Q9 Given an interest rate of 8 percent, compute the year 8 future value if deposits of $2,000 and $3,000 are made in years 2 and 3, respectively, and a withdrawal of $725 is made in year 5. (Do not round intermediate calculations and round your final answer to 2 decimal places.) Future value?arrow_forwardQUESTION 41 Compute the missing variable for each of the following alternatives of investments to accumulate $1,000,000. for 30 years @ 6% annual interest rate: Following are appropriate factors from tables: Table % / n Present Value of annuity due $1 Present Value of ordinary annuity of $1 Present value of $1 Future Value of ordinary annuity of $1 6%/30 12.15812 13.76483 .17411 79.05819 One single deposit of $???????? for 30 years. Required Computations: $166,666.66 $174,110 $175,933.83 $126,489arrow_forwardQ 24 Consider a $4,400 deposit earning 9 percent interest per year for 9 years. What is the future value? (Do not round intermediate calculations. Round your answer to 2 decimal places.) FUTURE VALUE? How much total interest is earned on the original deposit? (Do not round intermediate calculations. Round your answer to 2 decimal places.) TOTAL INTEREST EARNED? How much is interest earned on interest? (Do not round intermediate calculations. Round your answer to 2 decimal places.) INTEREST EARNED ON THE INTEREST?arrow_forward
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Internal Rate of Return (IRR); Author: The Finance Storyteller;https://www.youtube.com/watch?v=aS8XHZ6NM3U;License: Standard Youtube License