what is the accumulated value in 5 years of an annuity paying 200 at the end of each half year, with a nominal interest rate of 9 convertible semiannually g

Answers

Answer 1

Answer:

FV= $2,457.64

Explanation:

Giving the following information:

Number of periods= 5*2 = 10

Interest rate= 0.09/2 = 0.045

Semiannual payment= $200

To calculate the Future Value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= semiannual deposit

FV= {200*[(1.045^10) - 1]} / 0.045

FV= $2,457.64


Related Questions

Compound Interest (LO1) Suppose that the value of an investment in the stock market has increased at an average compound rate of about 5% since 1914. It is now 2016.
If someone invested $1,000 in 1914, how much would that investment be worth today?

Answers

Answer:

The investment is worth $144,980 today

Explanation:

The formula for calculating the future value of an invested amount compounded annually at a certain percentage rate (r) over a period of time (t) is given by:

[tex]FV = PV (1+\frac{r}{n})^{nt}\\ where:\\FV = future\ value\\PV = present\ value = \$1000\\r = interest\ rate = 5\%=0.05\\n = number\ of\ compounding\ period\ per\ year\ = 1\\t = time = 1914\ to\ 2016 = 102\\\therefore FV = PV (1+\frac{r}{n})^{nt}\\= FV = 1000 (1+\frac{0.05}{1})^{(1 \times102)}\\= 1000(1.05)^{102}\\FV= 1000 \times 144.98\\FV= \$144,980[/tex]

Suppose Chris starts saving in 3 years from today. He will save $20,000 each year for 6 years (until the end of year 8). Then he leaves that money in the same account until the end of year 10. How much will he have saved at the end of year 10 if he earns 4.3% interest.

Answers

Answer:

FV= $145,406.11

Explanation:

Giving the following information:

Annual deposit= $20,000

Interest rate= 4.3%

First, we need to calculate the value of the investment at the end of year 8. We will use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

FV= {20,000*[(1.043^6) - 1]} / 0.043

FV= $133,663.87

Now, the value at the end of the 10th year:

FV= PV*(1+i)^n

FV= 133,663.87*(1.043^2)

FV= $145,406.11

Consider the following information: Cash: $10,000 Accounts Payable: $3,000 Accounts Receivable: $2,000 Office Supplies: $1,000 Furniture: $15,000 Notes Payable: $10,000 Equity: $5000 From the above set of data, what is the total for assets, liabilities, and equity

Answers

Answer:

The total for assets, liabilities, and equity:

Total assets               $28,000

Total liabilities           $13,000

Total equity               $15,000

Explanation:

a) Data and Calculations:

Cash:                            $10,000

Accounts Receivable:  $2,000

Office Supplies:            $1,000

Furniture:                    $15,000

Total assets               $28,000

Accounts Payable:      $3,000

Notes Payable:          $10,000

Total liabilities           $13,000

Equity:                         $5,000

Retained Earnings    $10,000

Total equity               $15,000

Retained Earnings = Assets - (Liabilities + Equity)

b) The accounting equation states that assets = liabilities + equity.  This equation is always true with each transaction that occurs, provided it is correctly posted.  It is the basis of the double-entry system of accounting with each transaction affecting at least two accounts.

Refer to the scenario above. If the terms of trade are 1.5 kilos of cloudberries for a kilo of salted cod, the terms of trade are ________

Answers

Answer:

B. Advantageous  for both Norway and Sweden.

Explanation:

The full question is missing but have been attached as picture below.

Options Includes "A. advantageous for Norway but not for Sweden, B. advantageous for both Norway and Sweden, C. advantageous for Sweden but not for Norway, D. not advantageous for either Norway or Sweden"

Norway's opportunity cost of salted cod is 1 cloud berries and 2 cloud berries for Sweden. Since the international price lies between Norway's and Sweden's opportunity cost, it is beneficial for both of them.

According to the textbook, ________ economic integration has progressed at a faster pace than ________ economic integration.

Answers

Answer:

C). regional; global

Explanation:

Regional economic integration is characterized as the consensus/cooperation between various groups of countries in a particular region(geographic) for the reduction and eventual withdrawal of tariff or non-tariff obstructions for ensuring the unrestrained flow of goods and services along with distinct factors of production among each other. While global economic integration is a similar arrangement between the nations for the reduction in the tariff barriers and the association of various policies. The former has advanced at a higher pace in comparison to the latter as it has assisted in centering upon the issue and helped the smaller economies to grow at a higher growth rate. Thus, option C is the correct answer.

Using job order costing in a service companyRoth accounting pays jack smtih 90,000 per yearRequirements1. What is the hourly cost to roth accounting of employing smith? Assume a 30-hour week and a 50-week year.2. What direct labor cost would be assigned to Client 507 if smith works 15 hours to prepare client 507's financial statements?

Answers

Answer:

1. What is the hourly cost to Roth accounting of employing smith? Assume a 30-hour week and a 50-week year.

total number of labor hours per year = 30 per week x 50 weeks = 1,500 labor hours

cost per labor hour = $90,000 / 1,500 = $60

2. What direct labor cost would be assigned to Client 507 if smith works 15 hours to prepare client 507's financial statements?

total direct labor costs assigned to client 507 = 15 direct labor hours billed x $60 per direct labor hour = $900

A bond has 8 years to maturity, a 7 percent coupon, a $1,000 face value, and pays coupon interest semiannually. What is the bond's current price if the yield to maturity is 6.91 percent?

a. $799.32
b. $848.16
c. $917.92
d. $1,005.46
e. $1,009.73

Answers

Answer:

Bond Price = $1005.46079 rounded off to $1005.46

Option d is the correct answer

Explanation:

To calculate the price of the bond today, we will use the formula for the price of the bond. We assume that the interest rate provided is stated in annual terms. As the bond is a semi annual bond, the coupon payment, number of periods and semi annual YTM will be,

Coupon Payment (C) = 1,000 * 0.07 * 6/12 = $35

Total periods (n) = 8 * 2 = 16

r or YTM = 0.0691 * 6/12 = 0.03455 or 3.455%

The formula to calculate the price of the bonds today is attached.

Bond Price = 35 * [( 1 - (1+0.03455)^-16) / 0.03455]  + 1000 / (1+0.03455)^16

Bond Price = $1005.46079 rounded off to $1005.46

Assume a nominal interest rate on one-year U.S. Treasury Bills of 1.60% and a real rate of interest of 3.00%. Using the Fisher Effect Equation, what is the approximate expected rate of inflation in the U.S. over the next year

Answers

Answer:

inflation rate= -0.014 = -1.4%

Explanation:

Giving the following information:

Nominal interest rate= 1.6 %

Real interest rate= 3%

To calculate the inflation rate, we need to use the following formula:

Real interest rate= nominal interest rate - inflation rate

inflation rate= nominal interest rate - Real interest rate

inflation rate= 0.016 - 0.03

inflation rate= -0.014 = -1.4%

In this period the general cost of products decreased 1.4%

Product W1 Product M0 Sales (total) $ 69,700 $ 65,700 Direct materials (total) $ 31,100 $ 23,900 Direct labor (total) $ 22,400 $ 29,500 What is the product margin for Product W1 under activity-based costing

Answers

Answer:

Product margin= $16,200

Explanation:

Giving the following information:

Product W1

Sales (total) $ 69,700

Direct materials (total) $ 31,100

Direct labor (total) $ 22,400

To calculate the product margin, we need to use the following formula:

Product margin= sales - production costs

For W1:

Product margin= 69,700 - 31,100 - 22,400

Product margin= $16,200

Sunland Company has the following items: common stock, $969000; treasury stock, $106000; deferred income taxes, $125000 and retained earnings, $453000. What total amount should Sunland Company report as stockholders’ equity?

Answers

Answer:

The Stockholder equity is $1,316,000

Explanation:

The computation of the total amount reported as a stockholder equity is shown below:

Stockholder equity is

= Common stock - treasury stock + retained earnings

= $969,000 - $106,000 + $453,000

= $1,316,000

hence, the Stockholder equity is $1,316,000

We simply applied the above formula

The same is to be considered

A corporation sold 14,000 shares of its $10 par value common stock at a cash price of $13 per share. The entry to record this transaction would include:

Answers

Answer:

Date   Description and Explanation      Debit           Credit

           Cash                                              $182,000

                  Common stock                                           $140,000

                  Additional paid-in capital                           $42,000

            (To record the issuance of equity shares)

Explanation:

Additional capital = (Issue price - Par value) * Shares issued

= ($13−$10) * 14,000 shares

= $3 * 14,000 shares

= $42,000

Face value = Shares  issued * Par value

= 14,000 shares * $10 per share

= $140,000

Stock R has a beta of 1.7, Stock S has a beta of 0.95, the expected rate of return on an average stock is 10%, and the risk-free rate is 3%. By how much does the required return on the riskier stock exceed that on the less risky stock

Answers

Answer:

7.5%

Explanation:

according to CAPM -

Required rate of return = risk free rate + (beta x expected rate of return on the average stock)

Stock R = 3% + (10% X 1.7) = 20%

Stock S = 3% + (10% X 0.95) = 12.5%

20% - 12.5% = 7.5%

If the company allocates all of its overhead based on direct labor-hours using its traditional costing method, the overhead assigned to each unit of Product U4 would be closest to: (Round your intermediate calculations to 2 decimal places.)

Answers

Answer:

$178.56 per unit

Explanation:

Note: The full question is attached and can be seen below

Total overhead cost = $214,270

Total labor hours = 2400

Allocated overhead per hour based on direct labor-hours = $214,270/2400 hours = $89.28

Hours required for one unit of product U4 = 2 hours

Overhead assigned to each unit of Product U4 will be = 2 hours * $89.28 = $178.56 per unit

ssume the following information: Variable cost ratio 80% Total fixed costs $60,000 What is the volume of sales dollars required to break even

Answers

Answer:

Break-even point (dollars)= $300,000

Explanation:

Giving the following information:

Variable cost ratio 80%

Total fixed costs $60,000

To calculate the break-even point in dollars, we need to use the following formula:

Break-even point (dollars)= fixed costs/ contribution margin ratio

contribution margin ratio= 1 - 0.8= 0.2

Break-even point (dollars)= 60,000 / 0.2

Break-even point (dollars)= $300,000

The income an individual receives from all sources less the Social Security taxes that the individual must pay is known as ____ income.

Answers

Answer:

Personal.

Explanation:

The income an individual receives from all sources less the Social Security taxes that the individual must pay is known as personal income.

A building is acquired on January 1 at a cost of $860,000 with an estimated useful life of ten years and salvage value of $77,400. Compute depreciation expense for the first three years using the double-declining-balance method. (Round your answers to the nearest dollar.)

Answers

Answer:

Depreciation expense per year:

Year 1 =  $172000

Year 2 = $137600

Year 3 =  $110080

Explanation:

Double declining balance method is an accelerated method of charging depreciation expense. It charges a higher depreciation expense in the initial years of the asset's life and lower depreciation expense in the later years.

The formula to calculate depreciation expense per year is,

Depreciation expense = 2 * [ (Cost - Accumulated Depreciation) / Estimated useful life of the asset ]

The depreciation expense for Year 1 to 3 will be,

Depreciation Expense per year

Year 1 = 2 * [ (860000 - 0) / 10 ]  =  $172000

Year 2 = 2 * [ (860000 - 172000) / 10 ]  =  $137600

Year 3 = 2 * [ (860000 - (172000 + 137600)) / 10 ]  =  $110080

At the end of the current accounting period, Ringgold Co. recorded depreciation of $15,000 on its equipment. What is the effect of this entry on the company's balance sheet

Answers

Answer: decrease owners' equity and decrease assets.

Explanation:

When depreciation is recorded on a fixed asset such as equipment, the net book value of the equipment falls. This will decrease the value of the entire assets of the company as equipment is an asset as already mentioned.

Equity will reduce by the same amount because depreciation is an expense and expenses reduce the Net Income of a company which is an account that is part of Equity.

In both Gamma and Delta average labor productivity is $40,000 per worker per year. The population of Gamma is 200,000 and the population of Delta is 400,000. Fifty percent of the population in each country is employed. Total output in Gamma is _____ and total output in Delta is _____.

Answers

Answer: Gamma = $4,00,000,000

Delta = $8,000,000,000

Explanation:

Average labor productivity for each country = $40,000 per worker per year.

Population of Gamma = 200,000

Population of Delta = 400,000.

Percentage employed = 50%

Number of employees in Gamma = % employed × population

= 50% × 200,000

= 0.5 × 200,000

= 100,000 employees

Number of employees in Delta = %employed × population

= 50% × 400,000

= 0.5 × 400,000

= 200,000 employees

Total output will be calculated as:

= Average labor productivity x Number of employees

Total output in Gamma = $40,000 x 100,000 = $4,00,000,000

Total output in Delta = $40,000 x 200,000 = $8,000,000,000

Determine when, to the nearest year, $4,000 invested at 5% per year, compounded daily, will be worth $10,000. yr

Answers

Answer:

18 years

Explanation:

The computation of the time period is shown below:

Given that

Present value = $4,000

Rate of interest = 5 years

N = 365 days

Future value = $10,000

Now as we know that

Future value = Present value × (1 + rate of interest)^number of years

Let us assume the number of years be t

$10,000 = $4,000 × (1 + 0.05 ÷ 365)^365 × t

2.5  = (1 + 0.05 ÷ 365)^365 × t

2.5 = 1.000136986^365 × t

Now take log on both the sides

log 2.5 = 365t  × log 1.000136986

t = 1 ÷ 365[log 2.5 ÷ log 1.000136986]

= 18 years

In the long run, firms will expand as long as there are more ________, and new firms will enter the industry as long as they earn ________.

Answers

Answer:

Economies of scale; positive economic profits.

Explanation:

Economies of scale directly or imply increase or massive production by a company or group of firm. And in most cases this is not seen to be collective as it is unique and implies to a particular firm in their cause of business. This make shift can be caused or triggered by a lot of factors; example can be seen when things are been done manually with man power and at the long run a machine is been put to place, causing massive production.

Positive economic profit on the other hand is simply seen to be the effect of the economies of scale as it causes growth in the company, sometimes pushing to opening of many other branches of the same company. It is also seen to benefit the buyers as unit per capital of the said goods will have to reduce in cost too.

Ten years ago, Lucas Inc. earned $0.50 per share. Its earnings this year were $3.60. What was the growth rate in earnings per share (EPS) over the 10-year period? a. 23.57% b. 21.82% c. 26.19% d. 16.80% e. 18.77%

Answers

Answer:

21.82 %

Explanation:

Earnings per share is the monetary value of earnings per outstanding share of common stock for a company

Growth multiple = EPS in current year / EPS of 10th year before

Growth multiple  = $3.60/ $0.50

Growth multiple = 7.20

Next, raise the 1/10th power of the growth rate as it is required to compute the growth rate in 10 years

(7.20)1/10 = 1.2182

Now, 1 is to be subtracted from the figure obtained that is 1.2182

1.21 – 1 = 0.2182

In the final step, multiply 0.2182 by 100 to obtain the answer in percentage which is as follows:

0.2182 * 100 = 21.82 %

MM Proposition II with no taxes supports the argument that a firm's:
a. unlevered equity is risk-free.
b. cost of equity is inversely related to the firm's debt-equity level.
c. cost of equity is unaffected by the firm's unlevered cost of capital.
d. Incorrect WACC will exceed the unlevered firm's cost of equity.
e. WACC remains constant even if the firm changes its capital structure.

Answers

Answer:

e. WACC remains constant even if the firm changes its capital structure.

Explanation:

According to the MM approach having no taxes so the capital structure of the firm remains constant for the weighted average cost of capital

Also, the equity leverage would be changed for the debt to equity proportion

Therefore the option e is correct

And, the same is to be considered

All other options are incorrect

What is the payback period for the following set of cash flows? (Round your answer to 2 decimal places, e.g., 32.16.) Year Cash Flow 0 –$ 5,500 1 1,525 2 1,725 3 2,125 4 1,625

Answers

Answer:

3.08 years

Explanation:

The computation of the payback period is shown below:

Year       Cash flows    Cumulative cash flows

0         -$5,500                -$5,500

1          $1,525                 -$3,975

2               $1,725                -$2,250

3               $2,125                   -$125

4               $1,625                   $1,500

Now the pay back period is

= 3 years + $125 ÷ $1,625

= 3.08 years

Think about the merchandise sold at Office Depot/OfficeMax and Staples, and list three to four types of merchandise that fall into extended problem solving, limited problem solving, and habitual decision making for college students. Explain how the categories of merchandise would change for each type of buying decision if the customer was the owner of a medium-sized business.

Answers

Answer:

The laptops and printers are the merchandise that fall into extended problem solving.

The stapler, punch machines and stamps are the limited problem solving.

The office stationary like pens, papers and pins are habitual decision making.

Explanation:

The extended problem solving is when there is purchase of a merchandise that involve greater analysis before making a buy decision as they are expensive. The limited problem solving merchandise require lesser analysis of buy decision and a person can buy the product after inquiring from the shop. The habitual decision making is when a person buys a thing instantly before analyzing its benefits versus cost.

A company purchased a building three years ago for $150,000 and is using straight-line depreciation to depreciate it over 20 years. The salvage value of the building is $50,000. Prepare the adjusting entry to record the depreciation expense for the current year.

Answers

Answer:

Adjusting Journal Entry for the current year:

Debit Depreciation Expense - Building $5,000

Credit Accumulated Depreciation - Building $5,000

To record depreciation expense on building for the year.

Explanation:

a) Data and Calculations:

Cost of building = $150,000

Method of depreciation = straight-line method

Salvage value of the building = $50,000

Useful life of the building = 20 years

Depreciable amount = $100,000 ($150,000 - $50,000)

Depreciation rate (expense) per year = $100,000/20 = $5,000

b) The straight-line method of depreciation is the easiest.  It spreads the cost of an asset over its useful life evenly.  The depreciable amount is obtained after deducting the residual value from the cost of the asset.  Then the depreciable amount is divided into the number of years that the asset will be in use.

Price escalation in international markets may result from differences in market conditions or ________.

Answers

Answer:

Selling strategies.

Explanation:

Price escalation in international markets may result from differences in market conditions or selling strategies.

When a business is using a selling strategy that is not friendly to the customers, they are likely to abandon the seller and go to another.

Information for firm ABC: Inventory at the beginning of April, 2008: 200 units Expected demand during April, 2008: 220 units Production expected during April, 2008: 100 units What is the expected inventory at the end of April 2008

Answers

Answer:

250 units

Explanation:

Calculation for the expected inventory at the end of April 2008

Inventory at the beginning of April, 2008 200 units

Add Production expected during April, 2008 100 units

Total 300 units

Less Expected demand during April, 2008 50 units

Expected inventory at the end of April 2008 250 units

(300 units-50 units)

Therefore the Expected inventory at the end of April 2008 will be 250 units

The difference between the totals of the debit and credit columns of the Adjusted Trial Balance columns on the end-of-period spreadsheet a.is the difference between revenue and expenses b.is the amount of net income or loss c.is the amount of retained earnings d.indicates there is an error on the end-of-period spreadsheet

Answers

Answer:

d.indicates there is an error on the end-of-period spreadsheet

Explanation:

The trial balance is a type of financial statement in which the debit side and the credit side are equal and matched while the adjusted trial balance is the balance which is made after passing the adjusting entries

Now in the case when the debit total and credit total is not matched so there must be an error at the end of the accounting period

Therefore the option d is correct

Harrison Co. issued 16-year bonds one year ago at a coupon rate of 6.2 percent. The bonds make semiannual payments. If the YTM on these bonds is 5.4 percent, what is the current dollar price assuming a $1,000 par value

Answers

Answer:

$1,743.65

Explanation:

The current dollar price on this bond is its Present Value (PV) and is calculated as follows :

N = 16 × 2 = 32

P/yr = 2

Pmt = ($1,000 × 6.2%) ÷ 2 = $62

i = 5.4 %

FV = $1,000

PV = ?

Using a financial calculator to input the values as above, the current dollar price on this bond is $1,743.65

planned change is a purposeful systematic effort to alter or bring about change. What occurs next after alternative solutions to a problem are determined and analyzed

Answers

Answer:

The answer is "The plan of action amongst these options is selected".

Explanation:

The planned transition would be the planning of the whole company towards new priorities or new directions or a significant part of them.

Its guidance could include community, internal structures, processes, metrics and rewards, and any other associated issues. This strategy is a framework for changing or amending a trend, situation to improve the well-being, and the situation of a customer.
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