you have just deposited $11000 in to an account that promises to pay you an annual interest rate of 6.5 percent each year for the next 6 years. You will leave the money invested in the account and 10 years from today. you need to have $26300 in the account. What annual interest rate must you earn over the last 4 years to accomplish this goal

Answers

Answer 1

Answer:

Over the last 4 years to accomplish this goal the annual interest rate must be 13.14 %.

Explanation:

First find the Future value (FV) of $11,000 at the end of the 6th year as follows :

PV = -$11,000

r = 6.50%

p/yr = 1

n = 6

Pmt = $0

FV = ?

Using a financial calculator, the Future Value (FV) is $16,050.57

Therefore, the amount invested will amount to $16,050.57 in 6 year.

Next we then calculate the interest rate that will give us $26300 in the next four years (remainder of the 10 years)

PV = -$16,050.57

FV = $26,300

P/yr = 1

n = 4

Pmt = $0

r = ?

Using a financial calculator, the Interest rate (r) is 13.14 %

Conclusion :

Over the last 4 years to accomplish this goal the annual interest rate must be 13.14 %.


Related Questions

The smaller the required reserve ratio the larger the simple deposit multiplier. Do you agree or disagree with this statement. Explain your answer.

Answers

Answer:

Agree

Explanation:

A deposit multiplier is maximum amount of money that can be created for each unit of reserve. It is key requirement for maintaining economy's basic money supply. The simple deposit multiplier is 1 / rr * change in R. Deposit multiplier is the inverse of reserve ratio. The higher the reserve ratio the lesser will be the deposit multiplier. Reserve ratio is the minimum amount of money that must be kept in the deposit.

The Walthers Company has a semi-annual coupon bond outstanding. An increase in the market rate of interest will have which one of the following effects on this bond?
a. increase the coupon rate.
b. decrease the coupon rate.
c. increase the market price.
d. decrease the market price.
e. increase the time period.

Answers

Answer:

The answer is D.

Explanation:

An increase in the market rate of interest of a bond will decrease the market price of the bond. Market rate of interest of a bond is inversely related to the market price of the bond.

For example, A bonds is issued with a higher interest rate, the price of existing bonds will fall because the demand for this bond falls.

DIP LLC reports ordinary income (before guaranteed payments) of $120,000, rent expense of $40,000, and interest income of $4,000 for the year. In addition, DIP paid guaranteed payments to partner Percy of $20,000. If Percy owns a 40% capital and profits interest, how much income will he report for the year and what is its character?

Answers

Answer:

$24,000 ordinary income

$1,600 interest income

$20,000 guaranteed payment.

Explanation:

Calculation for what how much income will Percy report for the year and what is its character

Calculation for Percy Ordinary income: 120,000 - 40,000 - 20,000

= 60,000 x 40%

= 24,000.

Calculation for Percy Interest income:

4,000 x 40%

= 1,600

Guaranteed Payment: 20,000

Therefore what Percy will report will be: $24,000 ordinary income

$1,600 interest income

$20,000 guaranteed payment.

Giannitti Corporation bases its predetermined overhead rate on the estimated machine-hours for the upcoming year. Data for the upcoming year appear below: Estimated machine-hours 72,700 Estimated variable manufacturing overhead $ 3.30 per machine-hour Estimated total fixed manufacturing overhead $ 838,730 The predetermined overhead rate for the recently completed year was closest to:

Answers

Answer:

The predetermined overhead rate for the recently completed year was closest to: $11.54 per machine-hour

Explanation:

Predetermined Overheads = Budgeted Fixed Overheads / Budgeted Activity

                                             = $ 838,730 / 72,700

                                             = $11.536864 or $11.54 per machine-hour.

Zarina Corp. signed a new installment note on January 1, 2018, and deposited the proceeds of $15,000 in its bank account. The note has a two-year term, compounds 4 percent interest annually, and requires an annual installment payment on December 31. Zarina Corp.
Required:
1. Use an online application, such as the loan calculator with annual payments at mycalculators.com, to generate an amortization schedule. Enter that information into an amortization schedule with the following headings: Year, Beginning Notes Payable, Interest Expense, Repaid Principal on Notes Payable, and Ending Notes Payable.
2. Prepare the journal entry on January 1, 2018, the adjusting journal entry to accrue interest on March 31, 2018. Assuming the journal entry from requirement 3 also is recorded on June 30, September 30, and December 31, 2018, prepare the journal entry to record the first annual installment payment on December 31, 2018.
3. Calculate the amount of interest expense that should be accrued for the quarter ended March 31, 2019.

Answers

Answer:

1)

the annual installment = $7,952.94

total Interest paid = $905.88

Year     Beginning            Interest           Repaid            Ending

            Notes Payable     Expense         Principal         Notes Payable

1            $15,000               $600               $7,352.94      $7,647.06

2           $7,647.06           $305.88           $7,647.06      $0

2)

March 31, 2018, accrued interests on notes payable

Dr Interest expense 150

    Cr Interest payable 150

June 30, 2018, accrued interests on notes payable

Dr Interest expense 150

    Cr Interest payable 150

September 30, 2018, accrued interests on notes payable

Dr Interest expense 150

    Cr Interest payable 150

December 31, 2018, accrued interests on notes payable

Dr Interest expense 150

    Cr Interest payable 150

December 31, 2018, first installment on notes payable

Dr Notes payable 7,352.94

Dr Interest payable 600

    Cr Cash 7,952.94

3)

March 31, 2019, accrued interests on notes payable

Dr Interest expense 76.47

    Cr Interest payable 76.47

1. The Amortization schedule is:

Year  Beginning Notes Interest expense   Repaid Principle  Ending notes

                    Payable                                      on notes payable    Payable

2018           15,000                     600                    7,353                     7,647

2019            7,647                      306                     7,647                       0

                                             

The annual payment is an annuity and can be found as:

Loan= Annuity x Present value interest factor of annuity, 4%, 2 years

15,000 = Annuity x 1.886

Annuity = 15,000 / 1.886

= $7,953

Principal repaid in first year = Amount paid - interest

= 7,953 - (15,000 x 4%)

=  7,953 - 600

= $7,353

Principal repaid in second year

= 7,953 - (4% x 7,647)

= $7,647

2.

Date                Account title                                      Debit                 Credit

Jan 1, 2018      Cash                                               $15,000

                       Notes Payable                                                          $15,000

Date                     Account title                                      Debit              Credit

March 31, 2018     Interest expense                             $150

                             Interest payable                                                        $150

Working:

= Loan amount x Rate x period of loan so far

= 15,000 x 4% x 3/ 12 months

= $150

Date                Account title                                      Debit                 Credit

Dec 1, 2018    Interest payable                                $600

                       Notes payable                                  $7,353

                        Cash                                                                          $7,953

3. Interest accrued March 31,2019:

= Loan amount in second year x 4% x 3/12 months

= 7,647 x 4% x 3/12

= $76

Find out more at https://brainly.com/question/12942532.

You want to buy a new sports coupe for $74,500, and the finance office at the dealership has quoted you a loan with an APR of 6.9 percent for 36 months to buy the car.

Required:
a. What will your monthly payments be?
b. What is the effective annual rate on this loan?

Answers

Answer:

a) Monthly payments = $22,969.38

b) Effective rate of return= 7.12%

Explanation:

Loan Amortization: A loan repayment method structured such that a series of equal periodic installments will be paid for certain number of periods to offset both the loan principal amount and the accrued interest.

The monthly installment is computed as follows:  

Monthly installment= Loan amount/annuity factor

Loan amount; = 74,500

Annuity factor = (1 - (1+r)^(-n))/r

r -monthly rate of interest, n- number of months

r- 6.9%/12 = 0.575 % = 0.00575, n = 36 =

Annuity factor = ( 1- (1+00575)^(-36)/0.00575= 32.434

Monthly installment = Loan amount /annuity factor

=  74,500/32.434= 22,969.38

Required monthly payments = $22,969.38

Effective annual interest rate

Effective rate of return = ((1+r)^n- 1) × 100

where r - monthly interest rate- 6.9%/12 = 0.575%

n- number of months= 12 months

Effective rate of return - (1+00575)^(12) - 1× 100=  7.12%

Effective rate of return= 7.12%

Playa Inc. owns 85 percent of Seashore Inc. During 20X8, Playa sold goods with a 25 percent gross profit to Seashore. Seashore sold all of these goods in 20X8. How should 20X8 consolidated income statement items be adjusted g

Answers

Answer:

Debit the Cost of Sales  and,

Credit the Revenue.

Explanation:

Transactions that occur within a group of companies must be eliminated. Playa is a Parent (85%) and Seashore Inc is a Subsidiary.

The effect of the Sale by Playa to Seashore is that Group Cost of Sales and Revenue would be over-valued by the price of intragroup sale.

Thus, the adjustment for this intragroup sale, is to Debit the Cost of Sales  and Credit the Revenue.

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