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adelina 88 [10]
3 years ago
8

John invests a total of 10,000. He purchases an annuity with payments of 1,000 at the beginning of each year for 10 years at an

effective annual interest rate of 8%. As annuity payments are received, they are reinvested at an effective annual interest rate of 7%. The remaining balance of the 10,000 is invested in a 10-year certificates of deposit with a nominal annual interest rate of 9%, compounded quarterly. Calculate the annual effective yield rate on the entire 10,000 investment over the 10-year period.
Business
1 answer:
Dmitriy789 [7]3 years ago
3 0

Answer:

7.95%

Explanation:

the first step is to determine the present value of the 10 year annuity

1000\frac{(1 + 0.08)(1 - (1 - 0.08)^{-10} }{0.08} = 7246.89

remaining balance of the 10,000 is invested in a 10-year certificates of deposit = 10,000 - 7246.89 =  $2753.11

We would calculate the future value of this amount

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years  

m = number of compounding

$2753.11 x ( 1 + 0.09/4)^(4 x 10) = 6704.34

calculate the value of reinvestments

1000\frac{(1 + 0.07) ( 1 + 0.07)^{10} - 1 }{0.07} = 14783.60

14783.60 + 6704.34 = 10,000 ( 1 + er)^10

er = 0.0795 = 7.95%

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Answer:

Factoring fee = 2% * Account Receivable

= 2% * $3,400

= $68

​

Date  Account Titles and Explanation     Debit    Credit

          Cash                                                   $3,332

          Factoring expenses                           $68

                    Account receivables                             $3,400

          (To record the receipt of cash against the receivables)

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madreJ [45]

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B. Thanks can have collection agencies seize part of the borrowers income

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2 years ago
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Which of the following is true regarding positive organizational scholarship? a. It involves monitoring negative practices in or
Harrizon [31]

Answer:

Letter D is correct. It studies how organizations develop human strengths, foster vitality, and unlock potential

Explanation:

Positive Organizational Scholarship is a way for an organization to motivate and stimulate the capabilities of its employees. It is a way of identifying the strengths and weaknesses of each employee and encouraging them to improve their skills and developing new skills that will help them to succeed. joint result of the company.

5 0
3 years ago
Hilda and Hyatt paid $7,875 last year in mortgage interest, $4,200 in principal payments, $1,850 in property tax, $840 in mortga
olga55 [171]

Answer:

Mortgage interest of $7,875 and property taxes of $1,850.

Explanation:

A tax deduction can be defined as the total amount of money that one can deduct to lower their tax liability. More tax deductions always implies a reduced tax liability. In dealing with mortgage payments, tax deductions should be considered carefully to determine how much one tax one needs to pay. The following mortgage expenses are considered for deductions;

1. Mortgage interest

A mortgage interest deduction is a deduction that allows homeowners to subtract the interest on the loan they used to pay for the purchase, improvements or building of a home. In our case, Hilda and Hyatt are liable to a deduction of $7,875.

2. Property tax

In general, state and local property taxes are eligible to be deducted from the federal income taxes of a property owner. The only taxes that are deductible are state, local and foreign taxes levied for public welfare. They do not include services like home renovation and trash collection. The federal tax as of 2018 for property tax was capped at a total of $10,000. This means that any property tax value below $10,000 was eligible to a property tax deduction of that amount.

3 0
3 years ago
At the end of the year, Sheffield Co. has pretax financial income of $616,000. Included in the $616,000 is $78,400 interest inco
SVEN [57.7K]

Answer:

$173,820

Explanation:

pretax financial income $616,000

- interest income on municipal bonds ($78,400)

+ depreciation ($67,200 - $50,400) = $16,800

+ fine for dumping hazardous materials $25,000

taxable income = $579,400

income taxes payable = $579,400 x 30% = $173,820

Fines are not tax deductible, and since depreciation for tax purposes is lower than accounting depreciation, you must add them. But since municipal bonds are not taxable, they must be subtracted.

3 0
3 years ago
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