EP APLIA FOR BRIGHAM/HOUSTON'S FUNDAMEN
EP APLIA FOR BRIGHAM/HOUSTON'S FUNDAMEN
9th Edition
ISBN: 9781337697705
Author: Brigham
Publisher: Cengage Learning
Question
Book Icon
Chapter 5, Problem 14P

a.

Summary Introduction

To calculate: Future value of annuity of $500 for a year for 8 years at 14%

Annuity:

It is an agreement under which person pays the lump sum payment or number of small payments and in return gets the amount at later date or upon annuitization. The purpose of the annuity is   not to break the flow of income after retirement.

a.

Expert Solution
Check Mark

Explanation of Solution

Given,

The annuity is $500 per year.

The interest rate is 14% or 0.14.

The numbers of years are 8 years.

The formula to calculate value of annuity is equation (I).

FVAnnuity=C×((1+i)n-1i)

Here,

  • FV stands for future value.
  • C is for monthly payment.
  • I is interest rate.
  • n stands for no of payments.

Substitute $500 for C, 0.14 , n for 8 years in equation (I)

FV=$500((1+0.14)810.14)=$500×1.850.14=$500×13.21=$6,605

The annuity is $6,605.

Conclusion

Hence, the future value of annuity is $6,605.

(b)

Summary Introduction

To calculate: Future value of annuity of $250 for a year for 4 years at 7%

Annuity:

It is an agreement under which person pays the lump sum payment or number of small payments and in return gets the amount at later date or upon annuitization. The purpose of the annuity is   not to break the flow of income after retirement.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given,

The annuity is $250 per year.

The interest rate is 7%.

The numbers of years are 4 years.

Substitute $250 for C, 0.07 , n for 4 years in equation (I)

FV=$250((1+0.07)410.07)=$250×0.3110.07=$250×4.44=$1,110.

Conclusion

The future value of annuity will be $1,110.

(c)

Summary Introduction

To calculate: Future value of annuity of $700 for a year for 4 years at 0%

Annuity:

It is an agreement under which person pays the lump sum payment or number of small payments and in return gets the amount at later date or upon annuitization. The purpose of the annuity is   not to break the flow of income after retirement.

(c)

Expert Solution
Check Mark

Explanation of Solution

Given,

The annuity is $700 per year.

The interest rate is 0%.

The numbers of years are 4 years.

The formula to calculate the future value of an annuity when interest rate is 0,

FV=C×(1+i)n

Substitute $700 for C, 0.00 for r, n for 4 years.

FV=$700×((1+0.00)4+(1+0.00)3+(1+0.00)2+(1+0.00)1+(1+0.00)0)=700×5=3500

Conclusion

The future value of annuity will be $3500

(d)

Summary Introduction

To rework: Part a, b and c as they are due.

Annuity:

It is an agreement under which person pays the lump sum payment or number of small payments and in return gets the amount at later date or upon annuitization. The purpose of the annuity is   not to break the flow of income after retirement.

(d)

Expert Solution
Check Mark

Explanation of Solution

The formula to calculate future value of annuity due,

FVAnnuity=C((1+i)n1i)×(1+i)

Were,

  • FV stands for future value of annuity.
  • C symbolizes the monthly payment.
  • I is for interest rate.
  • N is for number of payments.

d .a

Summary Introduction

To calculate: Future value of annuity of $500 for a year for 8 years at 14%

Annuity:

It is an agreement under which person pays the lump sum payment or number of small payments and in return gets the amount at later date or upon annuitization. The purpose of the annuity is   not to break the flow of income after retirement.

d .a

Expert Solution
Check Mark

Explanation of Solution

Given,

The annuity is $500 per year.

The interest rate is 14% or 0.14.

The numbers of years are 8 years.

Substitute C for $500, i for 14%, n for 8 years in equation {(d) I}

FV=$500×((1+0.14)81)0.14×(1+0.14)=$500×15.09=$7,545

Conclusion

The future value of annuity due is $7,545.

b

Summary Introduction

To calculate: Future value of annuity of $250 for a year for 4 years at 7%

Annuity:

It is an agreement under which person pays the lump sum payment or number of small payments and in return gets the amount at later date or upon annuitization. The purpose of the annuity is   not to break the flow of income after retirement.

b

Expert Solution
Check Mark

Explanation of Solution

Given,

The annuity is $250 per year.

The interest rate is 7%.

The numbers of years are 4 years.

Substitute C for $250, I for 7%, n for 4 years.

FV=$250((1+0.07)41)0.07×(1+0.07)=$250×4.75=$1,187.68

Conclusion

The future value of annuity due is $1,187.68.

c

Summary Introduction

To calculate: Future value of annuity of $700 for a year for 4 years at 0%

Annuity:

It is an agreement under which person pays the lump sum payment or number of small payments and in return gets the amount at later date or upon annuitization. The purpose of the annuity is   not to break the flow of income after retirement.

c

Expert Solution
Check Mark

Explanation of Solution

Given,

The annuity is $700 per year.

The interest rate is 0%.

The numbers of years are 4 years.

The following formula will be used to solve.

FVAnnuity=C×(1+i)n×(1+i)

Substitute C for $700, i for 0%, n for 4 years in equation.

FV=$700×((1+0.00)3+(1+0.00)2+(1+0.00)1+(1+0.00)0)×(1+0.00)=700×5=3,500

Conclusion

The future value of annuity due is $3,500.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
A sporting goods manufacturer has decided to expand into a related business. Management estimates that to build and staff a facility of the desired size and to attain capacity operations would cost $450 million in present value terms. Alternatively, the company could acquire an existing firm or division with the desired capacity. One such opportunity is a division of another company. The book value of the division’s assets is $250 million and its earnings before interest and tax are presently $50 million. Publicly traded comparable companies are selling in a narrow range around 12 times current earnings. These companies have book value debt-to-asset ratios averaging 40 percent with an average interest rate of 10 percent. a. Using a tax rate of 34 percent, estimate the minimum price the owner of the division should consider for its sale. b. What is the maximum price the acquirer should be willing to pay? c. Does it appear that an acquisition is feasible? Why or why not? d. Would a 25…
Larry Davis borrows $80,000 at 14 percent interest toward the purchase of a home. His mortgage is for 25 years. a. How much will his annual payments be? (Although home payments are usually on a monthly basis, we shall do our analysis on an annual basis for ease of computation. We will get a reasonably accurate answer.) b. How much interest will he pay over the life of the loan? c. How much should be willing to pay to get out of a 14 percent mortgage and into a 10 percent mortgage with 25 years remaining on the mortgage? Assume current interest rates are 10 percent. Carefully consider the time value of money. Disregard taxes.
You are chairperson of the investment fund for the local closet. You are asked to set up a fund of semiannual payments to be compounded semiannually to accumulate a sum of $250,000 after nine years at a 10 percent annual rate (18 payments). The first payment into the fund is to take place six months from today, and the last payment is to take place at the end of the ninth year. Determine how much the semiannual payment should be. (a) On the day, after the sixth payment is made (the beginning of the fourth year), the interest rate goes up to a 12 percent annual rate, and you can earn a 12 percent annual rate on funds that have been accumulated as well as all future payments into the funds. Interest is to be compounded semiannually on all funds. Determine how much the revised semiannual payments should be after this rate change (there are 12 payments and compounding dates). The next payment will be in the middle of the fourth year.

Chapter 5 Solutions

EP APLIA FOR BRIGHAM/HOUSTON'S FUNDAMEN

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
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Financial Accounting Intro Concepts Meth/Uses
Finance
ISBN:9781285595047
Author:Weil
Publisher:Cengage
Text book image
Intermediate Accounting: Reporting And Analysis
Accounting
ISBN:9781337788281
Author:James M. Wahlen, Jefferson P. Jones, Donald Pagach
Publisher:Cengage Learning