A series of monthly cash flows is deposited into an account that earns 12% nominal interest compounded monthly. Each monthly deposit is equal to $2,100. The first monthly deposit occurred on June 1, 2008 and the last monthly deposit will be on January 1, 2015. The account also has equivalent quarterly withdrawals from it. The first quarterly withdrawal is equal to $5,000 and occurred on October 1, 2008. The last $5,000 withdrawal will occur on January 1, 2015. How much remains in the account after the last withdrawal?

Answers

Answer 1

Answer:

The amount left in the account after last withdrawal is $61,945

Explanation:

The first monthly deposit occurred on June 1, 2008 and the last monthly deposit will be on January 1, 2015 = 80 deposit

Monthly deposit = 2,100

Interest rate = 12% / 1% per month

Firstly, we calculate the future worth of the monthly deposit

FW = A(F/A, i, n)

A = 2,100, i = 1%, n= 80

FW = $2100*[(1+0.01)^80 - 1 / 0.01]

FW = $2100*[2.216715 - 1 / 0.01]

FW = $2100*(121.671)

FW = $255,509.10

We calculate the effective interest rate

i(effective) = (1 + i nominal monthly interest rate)^n - 1

i `%, n = 3(no of months in quarter)

i (effective) = (1+0.01)^3 - 1

i (effective) = (1.01)^3 - 1

i (effective) = 1.030301 - 1

i (effective) = 0.030301

i (effective) = 3.0301%

The effective quarterly interest rate is 3.0301%

We calculate the future worth of the quarterly drawings

FW = A[(1+i)^n - 1 / i]

A = 5,000(drawing), i = 3.0301%, n = 26(number of drawings)

FW = 5,000*[(1+0.030301)^26 - 1 / 0.030301]

FW = 5,000*[2.17303717 - 1 / 0.030301]

FW = 5,000*(38.71282)

FW = $193,564.10

The future worth of the quarterly withdrawal is $193,564.10

We calculate the amount left in the account after last withdrawal

Amount left in account = FW(monthly deposits) - FW(quarterly drawings)

Amount left in account = $255,509.10 - $193,564.10

Amount left in account = $61,945

Thus, the amount left in the account after last withdrawal is $61,945


Related Questions

Due to the efficiency of its supply chain as a result of technology and resourcefulness, Zara can deliver products to its stores quicker than their competitors with:_______.
A. reverse logistics.
B. less electronic data interchanges.
C. longer lead times.
D. shorter lead times.
E. more stockouts.

Answers

Answer:

D. shorter lead times.

Explanation:

Most of Zara's suppliers are actually working near Zara's headquarters in northern Spain. This  increases production costs, but also increases supply chain efficiency. Daily sales reports are sent by all the stores around the world and headquarters then replenish the products that are selling in higher volumes. Lead times are extremely short, stockouts are very rare, and inventory levels are extremely low. It is basically a fashion industry version of Toyota's JIT.

Blankenship Company operates a factory with two departments, X and Y. The utilities to heat and light the manufacturing facility would most likely be allocated to departments X and Y on the basis of:a. Square Footage occupiedb. Machine Hoursc. Direct labor hoursd. Units sold

Answers

Answer:

a. Square Footage occupied

Explanation:

Machine hours is the cost drive of utilities (cost object); it is not the basis of allocation. Direct labor hours is the cost drive of utilities (cost object); it is not the basis of allocation. Unit sold is the basis of allocation of advertising; it is not the allocation bases of utilities.

Utilities expenses such as heat, water, and lighting are generally allocated based area occupied by the department. Hence, the option “square footage occupied” is the correct answer.

Question 1 of 10
What is one way banks can recover money they have loaned to someone who
has stopped making payments?
O A. Banks can require the borrower's friends and family to pay off the
loan.
B. Banks can have collection agencies seize part of the borrower's
income.
C. Banks can force the borrower's employer to fire him or her
immediately
D. Banks can make the borrower work at the bank for no salary.

Answers

Answer:

B. Banks can have collection agencies seize part of the borrower's income.

Explanation:

Hope it helps

Banks can recover money they have loaned to someone who has stopped making payments the banks can have collection agencies seize part of the borrower's income. Thus, option (b) is correct.

What is bank?

The term Bank refers to a financial institution that deals with money. For the aim of saving and investing, the individual deposits money into a personal account. Additionally, banks can offer loans and ATM services. There are two different kinds of banks, such as public and private ones.

The debtors give the loan to the bank, but as long as someone is not returned on payment, the bank can hire collection agencies. The collection agencies' main role is to collect money with interest from debtors.

Therefore, option (b) is correct.

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The estimate an organization makes regarding the number and quality of its current employees and the availability of workers externally is called a(n):________

Answers

Answer:

Labor supply forecast

Explanation:

The estimate an organization makes regarding the number and quality of its current employees and the availability of workers externally is called a labor supply forecast. This information is very important when determining the number of workers required to meet the labor demands of an organization.

Some examples of the economic and qualitative factors that affects the external supply of labor includes transportation, availability of housing, quality of life, number of training institutes or facilities, wages, demographic trends, immigration etc.

Southeastern Bell stocks a certain switch connector at its central warehouse for supplying field service offices. The yearly demand for these connectors is units. Southeastern estimates its annual holding cost for this item to be ​$ per unit. The cost to place and process an order from the supplier is ​$. The company operates days per​ year, and the lead time to receive an order from the supplier is working days. ​a) What is the economic order​ quantity? nothing units ​(round your response to the nearest whole​ number).

Answers

Answer:

A. Economic order​ quantity= 319

B. Annual holding​ costs= 3,669

C. Annual ordering​ costs= 3,669

D. 154

Explanation:

a) Calculation for the economic order​ quantity

Using this formula

Economic order​ quantity=√2*Demand*Cost order/Annual holding cost

Let plug in the formula

Economic order​ quantity=√2*15,400*76/23

Economic order​ quantity=√2,340,800/23

Economic order​ quantity=√101,774

Economic order​ quantity= 319

b) Calculation for annual holding​ costs

Using this formula

Annual holding​ costs=Economic order​ quantity/2*Annual holding cost

Let plug in the formula

Annual holding​ costs=319/2*23

Annual holding​ costs= 3,669

c) Calculation for the annual ordering​ costs

Using this formula

Annual ordering​ costs=Demand/Economic order​ quantity*Cost order

Let plug in the formula

Annual ordering​ costs=15,400/319*76

Annual ordering​ costs= 3,669

d) Calculation for reorder​ point

Using this formula

Reorder point=Demand/Numbers of days the company operate per​ year*Lead time

Let plug in the formula

Reorder point=15,400/300 days per year*3

Reorder point= 154

Which of the following are frequently mentioned goals of the Federal Reserve? Check all that apply.

Answers

Answer:

Stability in the financial system

– Price stability—fighting inflation

– Full employment

– Economic growth

– Interest rate stability

– Currency stability

A private not-for-profit entity is working to create a cure for a disease. The charity starts the year with one asset, cash of $700,000. Net assets without donor restrictions are $400,000. Net assets with donor restrictions are $300,000. Of the restricted net assets, $160,000 is to be held and used to buy equipment, $40,000 is to be used for salaries, and the remaining $100,000 must be held permanently. The permanently held amount must be invested with 70 percent of any subsequent income used to cover advertising for fundraising purposes. The rest of the income is unrestricted.
During the current year, this health care entity has the following transactions:
1. Receives unrestricted cash gifts of $210,000.
2. Pays salaries of $80,000, with $20,000 of that amount coming from purpose-restricted donated funds. Of the total salaries, 40 percent is for administrative personnel. The remainder is divided evenly among individuals working on research to cure the disease and individuals employed for fundraising purposes.
3. Buys equipment for $300,000 by signing a long-term note for $250,000 and using restricted funds for the remainder. Of this equipment, 80 percent is used in research. The remainder is split evenly between administrative activities and fundraising. The donor of the restricted funds made no stipulation about the reporting of the equipment purchase.
4. Collects membership dues of $30,000 in cash. Members receive a reasonable amount of value in exchange for these dues including a monthly newsletter that describes research activities. By the end of the year, 112/112 of this money had been earned.
5. Receives $10,000 in cash from a donor. The money must be conveyed to a separate charity doing work on a related disease.
6. Receives investment income of $13,000 from the permanently restricted net assets.
Pays $2,000 for advertising. The money comes from the income earned in (f).
Receives an unrestricted pledge of $100,000 that will be collected in three years. The entity expects to collect the entire amount. The pledge has a present value of $78,000. Related interest (considered contribution revenue) of $5,000 is earned prior to the end of the year.
7. Computes depreciation on the equipment bought in (c) as $20,000.
8. Spends $93,000 on research supplies that are used up during the year.
9. Owes salaries of $5,000 at the end of the year. None of this amount will be paid from restricted net assets. Half of the salaries are for individuals doing fundraising, and half for individuals doing research.
10. Receives a donated painting that qualifies as a museum piece being added to the entity’s collection of art work that is being preserved and displayed to the public. The entity has a policy that the proceeds from any sold piece will be used to buy replacement art. Officials do not want to record this gift if possible..
A. Prepare a statement of financial position for this not-for-profit entity for the end of the current year.
B. Prepare a statement of activities for this not-for-profit entity for this year.

Answers

Answer and Explanation:

Net assets:

Donor without restrictions $488400

Donor with restrictions. $320100

Liabilities:

Notes payable. $250000

Salaries payable. $5000

Deferred revenue $27500

Donated amount in separate entity $10000.

$1101000

Assets:

Cash $738000

Equipment $280000

Receivables $83000

$1101000

Notes:

1. Cash.

Beginning cash $700,000

contributions $210,000

less salaries $80,000

less equipment purchase $50,000

Membership dues $30,000

Add contribution $10,000

Add investment income $13,000

less advertisement pay $2,000

less pay for supplies $93,000

2.Pledges receivable:

$78,000 plus the $5,000 in interest for period

3. Equipment. acquired equipment at $300,000 during the year.

4. Accumulated Depreciation: depreciation amounted to $20,000 for the equipment purchased till date.

5. Deferred Revenue: deferred revenue amounts to 27500 in membership dues since they've only earned 1/12 of the $30000 in exchange transactions.

6. Notes Payable: amount accrued for equipment

7. Salaries Payable: salaries owed employees as at end of the year

9. Donated Amount in Separate Entity. The organization does not hold variance powers for the amount contributed by a donor and so it's a liability

Preparing an income and expense statement helps in answering the question, "Where does all my money go?" This statement takes __________and ___________subtracts to determine an individual's or a family's cash surplus or deficit situation.

Answers

Correct question read;

"This statement takes __________and subtracts_________ to determine an individual's or a family's cash surplus or deficit situation.

Answer:

note of income; the expenses

Explanation:

Remember, the income and expense statement as the name implies is a financial statement that takes note of all incomes into a financial account and then subtracting identified expenses from the income to determine if there was a loss or profit.

By following this method, one ultimately would be able to answer the question, "Where does all my money go?".

Which option, within the Word Options dialog box, allows users to add the Auto Text function to the Ribbon?

Answers

(B) coustmize ribbon

The customize ribbons option in Word Options dialog box, allows users to add the Auto Text function to the Ribbon.

What is Auto Text function ?

To save portions of a Word document for later use, utilize AutoText. For example, you could retain a convenient collection of headers and footers or build a library of sentences for business letters. Everything a Word document can contain, including formatted text, images, and fields, can be stored in an AutoText entry.

You can quickly speed up document creation using AutoText by adding predetermined text to your project.

In your Office applications, you can create and organize tabs and commands in the ribbon however you choose. Show or conceal the ribbon. Select the at the ribbon's right edge to make it invisible. Choose a tab to reveal the ribbon.

To learn more about customize ribbons

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Stepsis is doing laundry today, but the machine is not working, she crawls in and sees whats wrong, she fixes it but shes stuck, she calls StepBro.

What should StepBro do?
A. Call Jamal
B. Pull her out
C. Dice Roll Dance And Bunny Hop Dance
D. I like ya cut G her

Answers

Answer:

b or d

Explanation:

because pulling her out might get the problem done faster , but I like ya cut g her could resolve in even more action . um I go with d

Answer:

B

Explanation:

Be a decent human being boys

In 2010, real GDP was $13.2 trillion and nominal GDP was $14.6 trillion. What was the GDP deflator for that year?a. 9.6% lower b. 9.6% higher c. 10.6% lower . d. 10.6% higher

Answers

Answer:

d. 10.6% higher

Explanation:

Given that;

Real GDP = $13.2 trillion

Nominal GDP = $14.6 trillion

GDP deflator = (Nominal GDP/Real GDP)× 100)

Hence,

GDP deflator = (14.6 / 13.2 ) × 100

GDP deflator = 110.6%

Thus,

= 110.6 - 100

= 10.6% higher

The following transactions were completed by the company. The company completed consulting work for a client and immediately collected $7,000 cash earned. The company completed commission work for a client and sent a bill for $5,500 to be received within 30 days. The company paid an assistant $2,150 cash as wages for the period. The company collected $2,750 cash as a partial payment for the amount owed by the client in transaction b. The company paid $1,000 cash for this period's cleaning services. Required: Enter the impact of each transaction on individual items of the accounting equation. (Enter decreases to account balances with a minus sign.)

Answers

Answer:

The Company

The Impact of Each Transaction on the Accounting Equation:

1. Assets (Cash + $7,000) = Liabilities + Equity (Retained Earnings + $7,000)

2. Assets (Accounts Receivable + $5,500) = Liabilities + Equity (Retained Earnings + $5,500)

3. Assets (Cash -$2,150) = Liabilities + Equity (Retained Earnings -$2,150)

4. Assets (Cash +$2,750 Accounts Receivable -$2,750) = Liabilities + Equity

5. Assets (Cash -$1,000) = Liabilities + Equity (Retained Earnings -$1,000)

Explanation:

The Company applies the accounting equation, which states that Assets = Liabilities + Equity.  With each transaction, the accounting equation is demonstrated as shown above.  This means that each transaction that is properly recorded affects the accounting equation in two ways.  Note that the accounting equation is the basis for the double-entry system of financial accounting.

Even as it begins to produce the Mirai for the U.S. market, Toyota continues to manufacture its traditionally fueled cars, trucks, and SUVs. Doing this helps Toyota manage the ______ of industrial demand.
a. volatility
b. division
c. durability
d. development

Answers

Answer:

a. volatility

Explanation:

From the question, we are informed that "Even as it begins to produce the Mirai for the U.S. market, Toyota continues to manufacture its traditionally fueled cars, trucks, and SUVs. In case of Doing this it helps Toyota manage the volatility of industrial demand.

volatility of industrial demand do occur where there is uncertainty as far as demand is concerned in the consumer products , as a result of this most firms to catch up with compitition, growing their sales an lot more , so in this case Toyota still continues to manufacture its traditionally fueled cars, trucks, and SUVs even though there is Mirai for the U.S. market.

Geralds manufacturing firm sold goods worth $6000 to some customers on credit in the month of January. His customers plan to pay him the entire amount at once in March. Gerald plans to record and recognize this income in the business’s accounts in March. Which accounting method does Geralds business follow?

His business follows the (________) method of accounting.

Answers

Answer:

Cash accounting method

Explanation:

The cash accounting method records receipts and expenses during the period in which cash changes hands. In this method, revenue will be recorded when payment from a customer is received. Expenses are not recorded unless money is paid out.  In short, revenues and expenses are recognized and recorded only when cash is received or paid.

Cash accounting contrasts with the accrual accounting system, which recognizes revenues and expenses when their respective events occur.

The most recent price activity in this chart is a quadruple top breakout. The box size is $0.50 and the reversal size is three boxes. What is the price objective for the breakout using the horizontal count method?a. $19.00b. $21.50c. $12.50d. $22.00

Answers

Answer:

a. $19.00

Explanation:

Note: The graph is as attached below

The low of the column where a quadruple top breakout occurs is $8.5 and width is 7 and box size is 0.5

The width of the pattern is 7 which is multiplied by 0.5 which is the box size and the reversal size of 3 for an Extension estimate (7 x 0.5 x 3 = $10.5).

Now,  $10.5 is added to the low of the column and hence price objective is $10.5 + $8.5 = $19

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