FUND. OF CORPORATE FINANCE (LL)
11th Edition
ISBN: 9781260377811
Author: Ross
Publisher: MCG
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Chapter 6, Problem 44QP
Summary Introduction
To calculate: The present value of the winnings by Person X
Introduction:
The future sum of money that worth today is described by the present value. Thus, the present value will always be smaller than or equal than the
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8. How much would you invest today in order to receive $30,000 in each of the following independent scenarios:
10 years at 9%
8 years at 12%
14 years at 15%
24 years at 10%
complete the following table:
Present Value (PV)
Rate
Time (Years)
Future Value (FV)
A
?
9%
10
$30,000.00
B
?
12%
8
$30,000.00
C
?
15%
14
$30,000.00
D
?
10%
24
$30,000.00
PLEASE NOTE: All dollar amounts will be with "$" and commas as needed and rounded to two decimal places (i.e. $12,345.67).
Use the present value of $1 table in the verify that your answers above are correct:
Future Value (FV)
Rate
Time (Years)
FV Factor (from Table)
Present Value (PV)
A
$30,000.00
9%
10
?
?
B
$30,000.00
12%
8
?
?
C
$30,000.00
15%
14
?
?
D
$30,000.00
10%
24
?
?
PLEASE NOTE: All PV Factors will be rounded to three decimal places (i.e. 1.234). All dollar amounts will be with "$" and commas as needed and rounded to two decimal places (i.e. $12,345.67).
4. If you invest $12,000.00 today, how much will you have in the future under each of the following independent scenarios:
10 years at 9%
8 years at 12%
14 years at 15%
24 years at 10%
Present Value (PV)
Rate
Time (Years)
Future Value (FV)
A
$12,000.00
9%
10
?
B
$12,000.00
12%
8
?
C
$12,000.00
15%
14
?
D
$12,000.00
10%
24
?
PLEASE NOTE: All dollar amounts will be with "$" and commas as needed and rounded to two decimal places (i.e. $12,345.67).
Use the future value of $1 table in the Appendix B PV FV Tables Appendix B PV FV Tablesand verify that your answers above are correct:
PV
Rate
Time (Years)
FV Factor (from Table)
Future Value (FV)
A
$12,000.00
9%
10
?
?
B
$12,000.00
12%
8
?
?
C
$12,000.00
15%
14
?
?
D
$12,000.00
10%
24
?
?
PLEASE NOTE: All FV Factors will be rounded to three decimal places (i.e. 1.234). All dollar amounts will be with "$" and commas as needed and rounded to two decimal places (i.e. $12,345.67).
10. Findingthe interest rate and the number of years
The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations.
If a security of $12,000 will be worth $14,292.19 three years in the future, assuming that no additional deposits or withdrawals are made, what is the implied interest rate the investor will earn on the security?
4.50%
4.80%
6.00%
7.20%
If an investment of $45,000 is earning an interest rate of 8.50% compounded annually, it will take for this investment to grow to a value of $79,656.40—assuming that no additional deposits or withdrawals are made during this time.
Which of the following statements is true, assuming that no additional deposits or withdrawals are made?
If you invest $5 today at 15% annual compound interest for 82.3753 years, you’ll end up with approximately $100,000.
If you invest $1 today at 15%…
Chapter 6 Solutions
FUND. OF CORPORATE FINANCE (LL)
Ch. 6.1 - Prob. 6.1ACQCh. 6.1 - Prob. 6.1BCQCh. 6.1 - Unless we are explicitly told otherwise, what do...Ch. 6.2 - In general, what is the present value of an...Ch. 6.2 - In general, what is the present value of a...Ch. 6.3 - If an interest rate is given as 12 percent...Ch. 6.3 - What is an APR? What is an EAR? Are they the same...Ch. 6.3 - Prob. 6.3CCQCh. 6.3 - What does continuous compounding mean?Ch. 6.4 - What is a pure discount loan? An interest-only...
Ch. 6.4 - What does it mean to amortize a loan?Ch. 6.4 - Prob. 6.4CCQCh. 6 - Two years ago, you opened an investment account...Ch. 6 - A stream of equal payments that occur at the...Ch. 6 - Your credit card charges interest of 1.2 percent...Ch. 6 - What type of loan is repaid in a single lump sum?Ch. 6 - Annuity Factors [LO1] There are four pieces to an...Ch. 6 - Prob. 2CRCTCh. 6 - Prob. 3CRCTCh. 6 - Present Value [LO1] What do you think about the...Ch. 6 - Prob. 5CRCTCh. 6 - Prob. 6CRCTCh. 6 - APR and EAR [LO4] Should lending laws be changed...Ch. 6 - Prob. 8CRCTCh. 6 - Prob. 9CRCTCh. 6 - Prob. 10CRCTCh. 6 - Prob. 11CRCTCh. 6 - Prob. 12CRCTCh. 6 - Prob. 1QPCh. 6 - Prob. 2QPCh. 6 - Prob. 3QPCh. 6 - Prob. 4QPCh. 6 - Calculating Annuity Cash Flows [LO1] If you put up...Ch. 6 - Calculating Annuity Values [LO1] Your company will...Ch. 6 - Calculating Annuity Values [LO1] If you deposit...Ch. 6 - Calculating Annuity Values [LO1] You want to have...Ch. 6 - Prob. 9QPCh. 6 - Calculating Perpetuity Values [LO1] The Maybe Pay...Ch. 6 - Prob. 11QPCh. 6 - Prob. 12QPCh. 6 - Calculating APR [LO4] Find the APR, or stated...Ch. 6 - Calculating EAR [LO4] First National Bank charges...Ch. 6 - Prob. 15QPCh. 6 - Prob. 16QPCh. 6 - Prob. 17QPCh. 6 - Calculating Present Values [LO1] An investment...Ch. 6 - EAR versus APR [LO4] Big Doms Pawn Shop charges an...Ch. 6 - Prob. 20QPCh. 6 - Calculating Number of Periods [LO3] One of your...Ch. 6 - Calculating EAR [LO4] Friendlys Quick Loans, Inc.,...Ch. 6 - Prob. 23QPCh. 6 - Calculating Annuity Future Values [LO1] You are...Ch. 6 - Calculating Annuity Future Values [LO1] In the...Ch. 6 - Prob. 26QPCh. 6 - Prob. 27QPCh. 6 - Prob. 28QPCh. 6 - Simple Interest versus Compound Interest [LO4]...Ch. 6 - Prob. 30QPCh. 6 - Prob. 31QPCh. 6 - Prob. 32QPCh. 6 - Calculating Future Values [LO1] You have an...Ch. 6 - Calculating Annuity Payments [LO1] You want to be...Ch. 6 - Prob. 35QPCh. 6 - Prob. 36QPCh. 6 - Prob. 37QPCh. 6 - Growing Annuity [LO1] Your job pays you only once...Ch. 6 - Prob. 39QPCh. 6 - Calculating the Number of Payments [LO2] Youre...Ch. 6 - Prob. 41QPCh. 6 - Prob. 42QPCh. 6 - Prob. 43QPCh. 6 - Prob. 44QPCh. 6 - Prob. 45QPCh. 6 - Prob. 46QPCh. 6 - Prob. 47QPCh. 6 - Prob. 48QPCh. 6 - Prob. 49QPCh. 6 - Calculating Present Value of a Perpetuity [LO1]...Ch. 6 - Prob. 51QPCh. 6 - Prob. 52QPCh. 6 - Calculating Annuities Due [LO1] Suppose you are...Ch. 6 - Prob. 54QPCh. 6 - Prob. 55QPCh. 6 - Prob. 56QPCh. 6 - Prob. 57QPCh. 6 - Prob. 58QPCh. 6 - Prob. 59QPCh. 6 - Prob. 60QPCh. 6 - Calculating Annuity Values [LO1] You are serving...Ch. 6 - Prob. 62QPCh. 6 - Calculating EAR with Points [LO4] The interest...Ch. 6 - Prob. 64QPCh. 6 - Prob. 65QPCh. 6 - Prob. 66QPCh. 6 - Prob. 67QPCh. 6 - Calculating Annuity Payments [LO1] This is a...Ch. 6 - Prob. 69QPCh. 6 - Prob. 70QPCh. 6 - Prob. 71QPCh. 6 - Calculating Interest Rates [LO4] A financial...Ch. 6 - Prob. 73QPCh. 6 - Prob. 74QPCh. 6 - Ordinary Annuities and Annuities Due [LO1] As...Ch. 6 - Calculating Growing Annuities [LO1] You have 40...Ch. 6 - Prob. 77QPCh. 6 - Prob. 78QPCh. 6 - Prob. 79QPCh. 6 - Prob. 80QPCh. 6 - Prob. 1MCh. 6 - Prob. 2MCh. 6 - Prob. 3MCh. 6 - Prob. 4MCh. 6 - Prob. 5MCh. 6 - Prob. 6M
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- 4.13 Calculating Annuity Present Value An investment offers $5,200 per year for 15 years, with the first payment occurring one year from now. If the required return is 7 percent, what is the value of the investment? What would the value be if the payments occurred for 40 years? For 75 years? Forever?arrow_forwardHow much would you be willing to pay today for an investment that would return P1,250 each year for the next 10 years, assuming a discount rate of 12 percent? A. P4,062.75B. P5,062.75C. P6,062.75D. P7,062.75E. None of the abovearrow_forwardPresent value (LO9-4) 4. You will receive $6,800 three years from now. The discount rate is 10 percent. a. What is the value of your investment two years from now? Multiply $6,800 × (1/1.10) or divide by 1.10 (one year’s discount rate at 10 percent). b. What is the value of your investment one year from now? Multiply your answer to part a by (1/1.10). c. What is the value of your investment today? Multiply your answer to part b by (1/1.10). d. Use the formula PV = FV x 1 / (1+i)^n to find the present value of $6,600 received three years from now at 10 percent interest.arrow_forward
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