Fundamentals of Financial Management, Concise Edition (MindTap Course List)
9th Edition
ISBN: 9781305635937
Author: Eugene F. Brigham, Joel F. Houston
Publisher: Cengage Learning
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Question
Chapter 5, Problem 25P
a.
Summary Introduction
To compute:
Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified
b.
Summary Introduction
To compute: Future value of
Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.
c.
Summary Introduction
To explain: The reason for
Future value of annuity: It states the value of regular payments that are made at a future date. The future value is defined by the specified rate of return or by the discount rate. If there is a fluctuation in regular payments then each of the cash flow is to be computed to get the future value of annuity.
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Find the future values of the following ordinary annuities:a. FV of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannuallyb. FV of $200 paid each 3 months for 5 years at a nominal rate of 12% compounded quarterlyc. These annuities receive the same amount of cash during the 5-year period and earn interest at the same nominal rate, yet the annuity in part b ends up larger than the one in part a. Why does this occur?
uture Value of an Annuity for Various Compounding Periods
Find the future values of the following ordinary annuities.
FV of $600 each 6 months for 5 years at a nominal rate of 16%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent.
$
FV of $300 each 3 months for 5 years at a nominal rate of 16%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent.
$
The annuities described in parts a and b have the same amount of money paid into them during the 5-year period, and both earn interest at the same nominal rate, yet the annuity in part b earns more than the one in part a over the 5 years. Why does this occur?
-Select-The nominal deposits into the annuity in part (b) are greater than the nominal deposits into the annuity in part (a).The annuity in part (a) is compounded less frequently; therefore, more interest is earned on interest.The annuity in part (a) is compounded more…
Future Value of an Annuity for Various Compounding Periods
Find the future values of the following ordinary annuities.
FV of $600 each 6 months for 4 years at a nominal rate of 12%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent.
$
FV of $300 each 3 months for 4 years at a nominal rate of 12%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent.
$
The annuities described in parts a and b have the same amount of money paid into them during the 4-year period, and both earn interest at the same nominal rate, yet the annuity in part b earns more than the one in part a over the 4 years. Why does this occur?
Chapter 5 Solutions
Fundamentals of Financial Management, Concise Edition (MindTap Course List)
Ch. 5 - Prob. 1QCh. 5 - Explain whether the following statement is true or...Ch. 5 - If a firms earnings per share grew from 1 to 2...Ch. 5 - Would you rather have a savings account that pays...Ch. 5 - Prob. 5QCh. 5 - Prob. 6QCh. 5 - Banks and other lenders are required to disclose a...Ch. 5 - Prob. 8QCh. 5 - Prob. 1PCh. 5 - PRESENT VALUE What is the present value of a...
Ch. 5 - FINDING THE REQUIRED INTEREST RATE Your parents...Ch. 5 - Prob. 4PCh. 5 - TIME TO REACH A FINANCIAL GOAL You have 33,556.25...Ch. 5 - Prob. 6PCh. 5 - PRESENT AND FUTURE VALUES OF A CASH FLOW STREAM An...Ch. 5 - LOAN AMORTIZATION AND EAR You want to buy a car,...Ch. 5 - Prob. 9PCh. 5 - PRESENT AND FUTURE VALUES FOR DIFFERENT INTEREST...Ch. 5 - GROWTH RATES Sawyer Corporations 2015 sales were 5...Ch. 5 - EFFECTIVE RATE OF INTEREST Find the interest rates...Ch. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - PRESENT VALUE OF AN ANNUITY Find the present...Ch. 5 - Prob. 16PCh. 5 - EFFECTIVE INTEREST RATE You borrow 230,000; the...Ch. 5 - Prob. 18PCh. 5 - FUTURE VALUE OF AN ANNUITY Your client is 26 years...Ch. 5 - Prob. 20PCh. 5 - EVALUATING LUMP SUMS AND ANNUITIES Kristina just...Ch. 5 - LOAN AMORTIZATION Jan sold her house on December...Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - PV AND LOAN ELIGIBILITY You have saved 4,000 for a...Ch. 5 - EFFECTIVE VERSUS NOMINAL INTEREST RATES Bank A...Ch. 5 - NOMINAL INTEREST RATE AND EXTENDING CREDIT As a...Ch. 5 - BUILDING CREDIT COST INTO PRICES Your firm sells...Ch. 5 - Prob. 30PCh. 5 - REQUIRED LUMP SUM PAYMENT Starting next year, you...Ch. 5 - REACHING A FINANCIAL GOAL Six years from today you...Ch. 5 - FV OF UNEVEN CASH FLOW You want to buy a house...Ch. 5 - AMORTIZATION SCHEDULE a. Set up an amortization...Ch. 5 - AMORTIZATION SCHEDULE WITH A BALLOON PAYMENT You...Ch. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - REQUIRED ANNUITY PAYMENTS A father is now planning...Ch. 5 - Prob. 41SPCh. 5 - Prob. 42IC
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- Value of an Annuity Using the appropriate tables, solve each of the following. Required: 1. Beginning December 31, 2020, 5 equal withdrawals are to be made. Determine the equal annual withdrawals if 30,000 is invested at 10% interest compounded annually on December 31, 2019. 2. Ten payments of 3,000 are due at annual intervals beginning June 30, 2020. What amount will be accepted in cancellation of this series of payments on June 30, 2019, assuming a discount rate of 14% compounded annually? 3. Ten payments of 2,000 are due at annual intervals beginning December 31, 2019. What amount will be accepted in cancellation of this series of payments on January 1, 2019, assuming a discount rate of 12% compounded annually?arrow_forwardFuture Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities. FV of $200 each 6 months for 10 years at a nominal rate of 12%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ FV of $100 each 3 months for 10 years at a nominal rate of 12%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $arrow_forwardFUTURE VALUE OF AN ANNUITY Find the future values of these ordinary annuities.Compounding occurs once a year.a. $500 per year for 8 years at 14%b. $250 per year for 4 years at 7%c. $700 per year for 4 years at 0%d. Rework parts a, b, and c assuming they are annuities due.arrow_forward
- Calculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. Annuity Payment Annual Rate Interest Compounded Period Invested 1. $3,000 7% Annually 6 years 2. 6,000 8 Semiannually 9 years 3. 5,000 12 Quarterly 5 yearsarrow_forwardCalculate the present value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) Annuity Payment Annual Rate Interest Compounded Period Invested Present Value of Annuity 1. $5,200 7.0 % Annually 5 years 2. 10,200 10.0 % Semiannually 3 years $4,264.21 3. 4,200 12.0 % Quarterly 2 yearsarrow_forwardCalculate the present value of the following annuities, assuming each annuity payment is made at the end of each compounding period. Annuity Payment Annual Rate Interest Compounded Period Invested 1. $4,000 7% Annually 5 years 2. 9,000 8 Semiannually 3 years 3. 3,000 8 Quarterly 2 yearsarrow_forward
- How much will be the future value of a 5-year ordinary annuity which has annual payments of $200, evaluated at a 7.5% semi-annual interest rate? a. $3,828.34 b. $287.13 c. $1,161.68 d. $1,348.48arrow_forwardPresent value of an annuity) What is the present value of the following annuities? a. $2,400 a year for 10 years discounted back to the present at 11 percent. b. $90 a year for 3 years discounted back to the present at 9 percent. c. $290 a year for 12 years discounted back to the present at 12 percent. d. $500 a year for 6 years discounted back to the present at 5 percent. a. What is the present value of $2,400 a year for 10 years discounted back to the present at 11 percent? $nothing (Round to the nearest cent.)arrow_forwardFind the present value of the following ordinary annuity. Periodic Payment Payment Interval Term Interest Rate Conversion Period $2900 1 year 6 years 7% quarterlyarrow_forward
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