Tutorial ExerciseSuppose that your bank pays 6% interest, compounded quarterly. Use Table 12-2 to find how much should be deposited now to yield an annuity payment of $1,600 at the end of each three months, for 3 years.Step 1The present value of an annuity is the amount needed now so that desired annuity payments may be made in the future. Since payments will be made at the end of each three months, this is an ordinary annuity. To find the present value of this annuity, theamount of money that should be deposited in an account now, the interest rate per period must first be found.The interest rate per period is calculated using the nominal, or annual, rate and the number of periods per year as follows.nominal rateinterest rate per period =periods per yearThe rate was given to be 6%. Interest is compounded quarterly, or 4 times per year. Find the interest rate per period.nominal rateinterest rate per periodperiods per year4|%The total number of compounding periods will be the number of years interest will accrue multiplied by the number of compounding periods per year. There are 4 compounding periods per year and annuity payments will be made for 3 years. Find the totalnumber of periods of the annuity.total number of annuity periods = number of years x number of compounding periods per year= 3 x

Compound interest (also known as compounding interest) is the interest on a loan or deposit that is…

Answered: Step 1 The present value of an annuity…

Principles of Accounting Volume 2

19th Edition

ISBN:9781947172609

Author:OpenStax

Publisher:OpenStax

Chapter11: Capital Budgeting Decisions

Section: Chapter Questions

Problem 3PA: Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate...

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Calculating interest earned and future value of savings account. If you put 6,000 in a savings account that pays interest at the rate of 3 percent, compounded annually, how much will you have in five years? (Hint: Use the future value formula.) How much interest will you earn during the five years? If you put 6,000 each year into a savings account that pays interest at the rate of 4 percent a year, how much would you have after five years?
Cost of Bank Loan Mary Jones recently obtained an equipment loan from a local bank. The loan is for 15,000 with a nominal interest rate of 11%. However, this is an installment loan, so the bank also charges add-on interest. Mary must make monthly payments on the loan, and the loan is to be repaid in 1 year. What is the effective annual rate on the loan (assuming a 365-day year)?
Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?
Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?
You put $600 in the bank for 3 years at 15%. A. If Interest Is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the third year. B. Use the future value of $1 table In Appendix B and verify that your answer is correct.
You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuity
Calculating single-payment loan amount due at maturity. Stanley Price plans to borrow 8,000 for five years. The loan will be repaid with a single payment after five years, and the interest on the loan will be computed using the simple interest method at an annual rate of 6 percent. How much will Stanley have to pay in five years? How much will he have to pay at maturity if hes required to make annual interest payments at the end of each year?

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