Foundations of Finance (9th Edition) (Pearson Series in Finance)
9th Edition
ISBN: 9780134083285
Author: Arthur J. Keown, John D. Martin, J. William Petty
Publisher: PEARSON
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Chapter 5, Problem 38SP
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- a. Calculate the future sum of $5,000, given that it will be held in the bank for 5 years at an annual interest rate of 6 percent.
- b. Recalculate part (a) assuming the interest rates is (1) an APR of 6 percent compounded semiannually and (2) an APR of 6 percent compounded bimonthly.
- c. Recalculate parts (a) and (b) for an APR of 12 percent.
- d. Recalculate part (a) using a time horizon of 12 years (the APR is still 6 percent).
- e. With respect to the effect of changes in the stated interest rate and holding periods on future sums in parts (c) and (d), what conclusions do you draw when you compare these figures with the answers found in parts (a) and (b)?
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Students have asked these similar questions
a. Calculate the future sum of P5,000, given that it will be held in the bank five years at an
annual interest rate of 6 percent.
b. Recalculate part (a) using a compounding period that is (1) semi-annual and (2) bimonthly.
c. Recalculate parts (a) and (b) for a 12 percent annual interest rate.
d. Recalculate part (a) using a time horizon of 12 years (annual interest rate is still 6 percent).
e. With respect to the effect of changes in the stated interest rate and holding periods on
future sums in parts (c) and (d), what conclusions do you draw when you compare these
figures with the answers found in parts (a) and (b)?
a. Set up an amortization schedule for a $19,000 loan to be repaid in equal installments atthe end of each of the next 3 years. The interest rate is 8% compounded annually.b. What percentage of the payment represents interest and what percentage representsprincipal for each of the 3 years? Why do these percentages change over time?
Consider the following cases:
Amount of Compounding Initial Stated Annual Frequency, m Deposit Case
Deposit ($)
Rate, r (%)
(times/year)
Period (years)
A
2,500
6
2
5
B
50,000
12
6
3
C
1,000
5
1
10
D
20,000
16
4
6
a.
Calculate the future value at the end of the specified deposit period.
Chapter 5 Solutions
Foundations of Finance (9th Edition) (Pearson Series in Finance)
Ch. 5 - Prob. 1RQCh. 5 - The processes of discounting and compounding are...Ch. 5 - Prob. 3RQCh. 5 - Prob. 4RQCh. 5 - Prob. 5RQCh. 5 - Prob. 1SPCh. 5 - Prob. 2SPCh. 5 - Prob. 3SPCh. 5 - Prob. 4SPCh. 5 - (Compound value) Stanford Simmons, who recently...
Ch. 5 - (Future value) Sarah Wiggum would like to make a...Ch. 5 - Prob. 7SPCh. 5 - Prob. 8SPCh. 5 - Prob. 9SPCh. 5 - Prob. 10SPCh. 5 - Prob. 11SPCh. 5 - Prob. 13SPCh. 5 - Prob. 14SPCh. 5 - Prob. 15SPCh. 5 - Prob. 16SPCh. 5 - Prob. 17SPCh. 5 - Prob. 18SPCh. 5 - Prob. 19SPCh. 5 - Prob. 20SPCh. 5 - Prob. 21SPCh. 5 - Prob. 22SPCh. 5 - Prob. 23SPCh. 5 - (Solving for PMT of an annuity) To pay for your...Ch. 5 - Prob. 25SPCh. 5 - Prob. 26SPCh. 5 - (Loan amortization) On December 31, Beth Klemkosky...Ch. 5 - (Solving for r of an annuity) You lend a friend...Ch. 5 - Prob. 29SPCh. 5 - (Compound annuity) You plan on buying some...Ch. 5 - (Loan amortization) On December 31, Son-Nan Chen...Ch. 5 - (Loan amortization) To buy a new house you must...Ch. 5 - Prob. 33SPCh. 5 - Prob. 34SPCh. 5 - Prob. 35SPCh. 5 - Prob. 36SPCh. 5 - Prob. 37SPCh. 5 - (Compound interest uith nonannnal periods) a....Ch. 5 - (Compound interest with nonannual periods) After...Ch. 5 - Prob. 40SPCh. 5 - (Spreadsheet problem) To buy a new house you take...Ch. 5 - (Nonannual compounding using a calculator) Jesse...Ch. 5 - (Nonannual compounding using a calculator)...Ch. 5 - (Nonannual compounding using a calculator) Fords...Ch. 5 - Prob. 45SPCh. 5 - (Nonannual compounding using a calculator) Dennis...Ch. 5 - Prob. 47SPCh. 5 - (Calculating the effective annual rate) Youve just...Ch. 5 - Prob. 49SPCh. 5 - Prob. 50SPCh. 5 - (Present value) The Kumar Corporation is planning...Ch. 5 - (Perpetuities) What is the present value of the...Ch. 5 - (Complex present value) How much do you have to...Ch. 5 - (Complex present value) You would like to have...Ch. 5 - Prob. 55SPCh. 5 - Prob. 56SPCh. 5 - Prob. 57SPCh. 5 - Prob. 58SPCh. 5 - (Present value of a complex stream) Don Draper has...Ch. 5 - (Present value of a complex stream) Don Draper has...Ch. 5 - (Complex stream of cash flows) Roger Sterling has...Ch. 5 - (Future and present value using a calculator) In...Ch. 5 - Prob. 1MCCh. 5 - Prob. 2MCCh. 5 - Prob. 3MCCh. 5 - Prob. 4MCCh. 5 - Prob. 5MCCh. 5 - Prob. 6MCCh. 5 - Prob. 7MCCh. 5 - Prob. 8MCCh. 5 - Prob. 9MCCh. 5 - Prob. 10MCCh. 5 - Prob. 11MC
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- Use aspreadsheet to create amortization schedules for the following five scenarios.What happens to the total interest paid under each scenario?a. Scenario 1:Loan amount: $1 millionAnnual rate: 5 percentTerm: 360 monthsPrepayment: $0b. Scenario 2: Same as 1, except annual rate is7 percentc. Scenario 3: Same as 1, except term is 180monthsd. Scenario 4: Same as 1, except prepayment is$250 per monthe. Scenario 5: Same as 1, except loan amount is$125,000arrow_forwardIf you borrow $7,500 at $550 interest for one year, what is your effective interest rate for the following payment plans? (Input your answers as a percent rounded to 2 decimal places.) a. Annual payment b. Semiannual payments c. Quarterly payments d. Monthly payments Effective Rate of Interest % % %arrow_forwardParts a–c for each of the following cases. Answer parts a–c for each of the following cases. Case Amount of Initial Deposit ($) Stated Annual Rate, r(%) Compounding Frequency, m (times/year) Deposit Period (years) A 2,500 6 2 5 B 50,000 12 6 3 C 1,000 5 1 10 D 20,000 16 4 6 a. Calculate the future value at the end of the specified deposit period.b. Determine the effective annual rate (EAR).c. Compare the stated annual rate (r) to the effective annual rate(EAR). What relationship exists between compounding frequency and the stated and effective annual rates?arrow_forward
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