1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adelina 88 [10]
2 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]2 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%

You might be interested in
Where did the indestrial revolution starts and why did it beinging there​
Marat540 [252]

Answer:

it began in 1760. it started there because of the new inventions that were made like the cotton gin, electricity and other inventions. More and more countries got access to these inventions and they became more and more industrialized and urban.

5 0
2 years ago
McConnell Corporation has bonds on the market with 14.5 years to maturity, a YTM of 5.3 percent, a par value of $1,000, and a cu
creativ13 [48]

Answer:

5.75%

Explanation:

First, find the coupon payment amount . Using a financial calculator, key in the following inputs for this the bond valuation.

<em>Note: Make adjustment on the rate and time since the coupon payments are made semi-annually i.e 2 times a year</em>.

Maturity of the bond ; N = 14.5*2 = 29

Semi-annual rate ; I/Y = (5.3%/2) = 2.65%

Face value ; FV = 1000

Price of the bond or PV = -1045

then compute semiannual coupon payment ;  CPT PMT = $28.743

Annual coupon rate is therefore = $28.743*2 = $57.486

Coupon rate = coupon payment / face value

Coupon rate = $57.486 / 1000

= 0.05749 or 5.75%

8 0
3 years ago
A manufacturing company reports the following items:
QveST [7]

Answer:

The cost of goods sold is  $ 4,800.

Explanation:

This problem requires us to calculate cost of good sold. The opening and closing balance of finished goods is given in the question. The cost of good manufactured is also provided in the question.

The cost of good sold can be calculated by finding the amount transferred from finished good account. Detail calculation is given below.

Finished good inventory begining       $ 1,000

Cost of good manufactured                  $ 5,000

Finished good inventory ending           ($ 1,200)

Cost of good sold                                   $ 4,800

5 0
3 years ago
Aquatic Equipment Corporation decided to switch from the LIFO method of costing inventories to the FIFO method at the beginning
polet [3.4K]

Answer:

a. The balance in retained earnings at the time of the change (beginning of 2021) as it would have been reported if FIFO had been used in prior years is $744,450.

b. Debit Inventory for $53,000; Credit Income tax payable for $18,550; and Credit Retained earnings for $34,450.

Explanation:

Note: There is an error in the date stated in the requirements of the question as they are different from the date in the body of the question. The requirements are therefore restated with the correct date before answering the question as follows:

a. Calculate the balance in retained earnings at the time of the change (beginning of 2021) as it would have been reported if FIFO had been used in prior years.

b. Prepare the journal entry at the beginning of 2021 to record the change in principle.

The explanation of the answer is now given as follows:

a. Calculate the balance in retained earnings at the time of the change (beginning of 2021) as it would have been reported if FIFO had been used in prior years.

The effect of LIFO is to overstate the cost of goods sold and understated the retained earnings.

The balance in retained earnings at the time of the change (beginning of 2021) as it would have been reported if FIFO had been used in prior years can therefore be determined as follows:

Inventory understatement net of tax = $53,000 * (100% - Tax rate) = $53,000 * (100% - 35%) = $34,450

Therefore, we have:

Retained earnings under FIFO = Retained earnings as reported + Inventory understatement net of tax = $710,000 + $34,450 = $744,450

Therefore, the balance in retained earnings at the time of the change (beginning of 2021) as it would have been reported if FIFO had been used in prior years is $744,450.

b. Prepare the journal entry at the beginning of 2021 to record the change in principle.

The journal entry will look as follows:

<u>Details                                                       Debit ($)        Credit ($)    </u>

Inventory                                                    53,000

Income tax payable (53,000 * 35%)                                18,550

Retained earnings                                                            34,450

<u><em>(To record the change in principle.)                                                 </em></u>

7 0
2 years ago
A perfectly competitive firm will produce the quantity of output at which _______ = _______ to determine the profit maximizing o
pishuonlain [190]

Answer:

Price; marginal cost; cost minimizing; output; Cost of production or cost of inputs involved in production

Explanation:

In perfect competition a firm is in equilibrium when its marginal cost of production is equal to the price of its product. The firm will be able to maximize profit or minimize cost at this point.

The demand curve is a horizontal line, which means demand is perfectly elastic. A change in the price will cause the demand to become zero.

The cost mentioned here is the cost incurred to employ inputs in the process of production, which is an explicit cost.

7 0
2 years ago
Other questions:
  • True or False: Entrepreneurs are willing to accept risks for an opportunity to earn a salary by producing a new, innovative prod
    11·1 answer
  • A recession is a period of significant, widespread declines in:
    10·1 answer
  • A man eats chips and dips and burgers and fries, and drinks a couple of shakes. afterward, he goes to the gym and does 90 minute
    9·1 answer
  • Question 5 (60 points)
    14·1 answer
  • Select the correct answer.
    6·1 answer
  • Assume the XYZ Corporation is producing 20 units of output. It is selling this output in a purely competitive market at $10 per
    9·1 answer
  • On January 2, 2021, Coronado Industries issued at par $298000 of 7% convertible bonds. Each $1,000 bond is convertible into 60 s
    14·1 answer
  • Shockglass Company had a beginning inventory of $15,000. During the year, the company recorded inventory purchases of $45,000 an
    14·1 answer
  • Summit Record Company is negotiating with two banks for a $150,000 loan. Fidelity Bank requires a compensating balance of 26 per
    7·1 answer
  • During its first year of operations, Walnut Company completed the following two transactions. The annual accounting period ends
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!