Smartbook ch 5
Kevin borrows $8,000 from Second National Bank at 10% interest. Kevin will repay the loan in six equal payments beginning at the end of year 1. What is the annual amount that Kevin will pay the bank each year? Round your answer to the nearest dollar.
$1,837 The amount borrowed divided by the present value annuity factor of 10% for 6 periods equals the annual payment. $8,000/4.35526 = $1,837
Jean expects to receive $5,000 at the end of each year for 4 years. The annuity has an interest rate of 7%. The present value of this annuity at Time Zero, the inception of the annuity (rounded to the nearest dollar) is
$16,936. The present value ordinary annuity factor of 7% for 4 periods is 3.38721. $5,000 x 3.38721 = $16,936.
Shirley borrows $10,000 from Second National Bank at 12% interest. Shirley will repay the loan in five equal payments beginning at the end of year 1. What is the annual amount that Shirley will pay the bank each year? Round your answer to the nearest dollar.
$2,774 The amount borrowed divided by the present value annuity factor of 12% for 5 periods equals the annual payment. $10,000/3.60478 = $2,774
George will deposit $2,000 in a savings account at the beginning of each year for 8 years. Assuming the interest rate is 5%, how much money will George have in the account at the end of year 8? Round your answer to the nearest dollar.
$20,053 $2,000 x 10.0266 (i.e., FVAD, the future value of annuity due, factor at 5% for 8 periods) = $20,053
Milo decides to invest $1,500 in a savings account every year at the beginning of the year for 10 years. Assuming an interest rate of 7%, how much will Milo have at the end of the 10th year? (Round your answer to the nearest dollar.)
$22,175 $1,500 X 14.7836 (i.e., FVAD, the future value of annuity due, factor at 7% for 10 periods) = $22,175
Carol expects to receive $1,000 at the end of each year for 5 years. The annuity has an interest rate of 10%. The present value of this annuity at Time Zero, the inception of the annuity (rounded to the nearest dollar) is
$3,791. The present value ordinary annuity factor of 10% for 5 periods is 3.79079. $1,000 x 3.79079 = $3,791
Rhonda expects to receive an annuity that pays $500 at the beginning of each year for 10 years. Assuming the interest rate is 6%, what is the present value of this annuity? Round your answer to the nearest dollar.
$3,901 Using the PVAD factor of 6% for 10 periods, multiply 7.80169 x $500 = $3,901.
Kate expects to receive an annuity that pays $5,000 at the beginning of each year for 10 years. Assuming the interest rate is 5%, what is the present value of this annuity? Round your answer to the nearest dollar.
$40,539 Using the PVAD factor of 5% for 10 periods, 8.10782 x $5,000 = $40,539.
On January 1, McLean Corp. borrowed $50,000 with 8% simple interest. What is the amount of interest that must be repaid at year-end?
$4000 $50,000 x 8% x (12/12) = $4,000
First County Bank loans $100,000 to a customer. At the end of the year, the customer is required to repay the $100,000 loan with 8% interest. What is the amount of interest First County Bank earns on this loan?
$8,000 $100,000 x 8% x (12/12) = $8,000
Which of the following are monetary liabilities?
- accounts payable - bond payable at 4% interest due in 20 years - note payable at 6% interest due in 6 months
Simon borrows $7,000 from the bank and wants to repay the amount in equal installments of $950. Payments will be made at the end of each year. The bank wishes to earn interest on this loan at 6%. Approximately how many years will it take Simon to repay the loan?
10 years $7,000/$950 = 7.368 is the estimated PVA factor at 6%. Look down the 6% column and at 10 years the factor is 7.36009. So it should take approximately 10 years to repay the loan.
Shirley borrows $3,605 from Second National Bank. Shirley will repay the loan in five equal payments of $1,000 each beginning at the end of year 1. What is the annual interest rate implicit in this agreement?
12% $3,605/$1,000 = 3.605. Looking at the present value of an ordinary annuity table in the row for 5 periods, there is a factor of 3.60478 in the 12% column.
Jean borrows $2,540 from her friend, Sam. Jean will repay the loan in six equal payments of $500 each beginning at the end of year 1. What is the annual interest rate implicit in this agreement?
5% $2,540/$500= 5.08. Looking at the present value of an ordinary annuity table in the row for 6 periods, there is a factor of 5.07569 in the 5% column.
Paul borrows $5,000 from the bank and wishes to repay the amount in equal installments of $800 per year over a period of years. The payments will be made at the end of each year. The bank wishes to earn interest on this loan at 8%. Approximately how many years will it take for Paul to repay the loan?
9 years $5,000/$800 = 6.250 is the estimated PVA factor at 8%. Look down the 8% column, and at 9 years, the factor is 6.24689. Therefore, it should take approximately 9 years to repay the loan.
Which of the following is an example of a monetary asset?
Accounts receivable
Lenny borrowed $10,000 on a 5-year interest bearing note with an interest rate of 10%. At the end of 5 years, Lenny must repay the bank $16,105. Based on the amount that must be repaid, interest was calculated with what type of interest rate?
Compound interest Simple interest would have yielded total interest of $10,000 x 10% = $1,000 x 5 years = $5,000.
Which of the following situations would involve the calculation of the future value of an ordinary annuity?
Depositing an amount to a savings account each month that will grow to purchase a car in 5 years.
True or false: At the date of issue, the stated rate of interest on the bond is always equal to the market rate of interest on the bond.
False The stated rate is not always equal to the market rate of interest.
Which of the following is a deferred annuity?
First payment begins at the beginning of year 3.
$1,000 invested today at 10% compounded annually will grow to $1,210 at the end of two years. What is the $1,210 value referred to as?
Future value
Simple interest is computed by multiplying which of the following? (Select all that apply.)
Initial investment Period of time Applicable interest rate
What does the ".05" represent in the Excel function
Interest rate
What does the "3" represent in the Excel function
Number of periods
What does the "100" represent in the Excel function =-PV(.05, 4, 100,0,0)
Payment amount each period
Which of the following are the four variables in present value annuity problems?
The number of periods The payment amount The present value The interest rate
Assume you borrow $10,000 from the bank and promise to repay the amount in 5 equal installments beginning one year from today. The stated interest rate on the loan is 5%. What is the unknown variable in this problem?
The payment amount
True or false: A lease is an annuity when it requires equal payments at the same interval.
True Fixed payments at fixed intervals is the definition of an annuity.
True or false: Present value calculations are used in calculating pension contributions for defined benefit plans.
True Pension contributions require the calculation of the present value of the pension annuity.
A fixed payment at fixed intervals is called a(n)
annuity
A(n) ___ is a series of equal payments received or paid at equal intervals.
annuity
Jenson rents equipment by signing a contract to pay $1,000 per month at the beginning of each month. The first payment is due upon signing the contract. The lease is a(n)
annuity due.
Which of the following are monetary liabilities?
bond payable at 4% interest due in 20 years accounts payable note payable at 6% interest due in 6 months
Which of the following accounts uses time value of money concepts to value the account?
capital leases
Which of the following items require time value of money concepts? (Select all that apply.)
capital leases bonds payable pensions
A(n) ___ annuity exists when the first cash flow occurs more than one period after the date the agreement begins.
deferred
Valuing defined benefit pension obligation typically requires the calculation of the present value of a(n)
deferred annuity
Alex would like to deposit $1,000 in the bank today and would like to know what that will grow to in 5 years. Alex needs to compute the ___ value of the money.
future
Joshua would like to deposit $12,000 in a savings account today. He is interested in knowing what that investment will be worth when he retires at age 62. Joshua is interested in calculating what amount?
future value
The amount of money paid or received in excess of the amount of money borrowed or lent is referred to as what?
interest
The amount paid for the use of money for some period of time is referred to as
interest
To solve for the present value of a single sum, you need to know the future value, the number of compounding periods, and the
interest rate
Over a 5-year period, simple interest is ______ compound interest on the same note.
less than
Money and claims to receive money in amounts that are fixed or determinable are called
monetary assets.
Which of the following are required to compute the present value of a known future amount?
number of compounding periods future value interest rate
Karr Company borrowed $100,000 by signing a 5-year note payable at 8% interest. At the end of year 5, Karr will repay the bank $146,933. At the time the note is signed, the $100,000 is referred to as the______ of the note payable.
present value
On January 1, Gino signs a note payable for $10,000. The note has an interest rate of 3%. If Gino repays $10,300 at the end of year 1, the interest is
simple interest
The rate of interest printed on the face of a bond is referred to as the ___ interest rate
stated, nominal, coupon, or face
The future value of an ordinary annuity table is used when calculating
the future value of a series of payments.
The ____ of money concept means that money invested today will grow to a larger amount in the future.
time value
The difference between $100 invested now and $105 at the end of year 1 represents the
time value of money.
Which of the following is not a monetary liability?
unearned revenue
