Answer:
Total department cost of 70,000 units = $856,500
Total department cost of 80,000 units = $940,000
Total department cost of 90,000 units = $1,024,500
Explanation:
Note: See the attached excel file for the flexible budget.
A flexible budget is a budget that changes, flexes or adjusts as the volume, activity or unit of production changes.
For this question, the direct labor cost for each unit can be calculated as follows:
Direct labor time per filing cabinet in minutes = 18
Number of minutes in one hour = 60
Direct labor rate per minute = Direct labor rate per hour / Number minutes in one hour = $28 / 60 = $0.466666666666667
Direct labor cost per filing cabinet = Direct labor time per filing cabinet in minutes * Direct labor rate per minute = 18 * $0.466666666666667 = $8.40
Direct labor cost of a particular units of production = Direct labor cost per filing cabinet * Number of units of production ................... (1)
Using equation (1), the Direct labor cost of different units of production used in the attached excel file is calculated as follows:
Direct labor cost of 70,000 units = $8.40 * 70,000 = $588,000
Direct labor cost of 80,000 units = $8.40 * 80,000 = $672,000
Direct labor cost of 90,000 units = $8.40 * 90,000 = $756,000
When the actual cost of direct materials used exceeds the standard cost, the company must have experienced an unfavorable direct materials price variance.
a. True
b. False
Answer:
True
Explanation:
The cost was bigger than they had budgeted for, so it was an unfavorable variance.
For the quarter ended March 31, 2017, Croix Company accumulates the following sales data for its newest guitar, The Edge: $314,000 budget; $300,800 actual. In the second quarter, budgeted sales were $381,000, and actual sales were $391,000.
Prepare a static budget report for the second quarter and for the year to date.
CROIX COMPANY
Sales Budget Report
For the Quarter Ended June 30, 2017
Second Quarter Year to Date
Product Line Budget Actual Difference Budget Actual Difference
Answer:
CROIX COMPANY
Sales Budget Report
For the Quarter Ended June 30, 2017
Second Quarter Year to Date
Product Line Budget Actual Difference Budget Actual Difference
The Edge 381,000 391,000 10,000 695,000 691,800 3,200 U
Explanation:
Croix's sales budget gives a forecast of the sales figure over the future period in order to help Croix plan its production or purchase of the newest guitar, The Edge so that customers' demand can be met and profit objectives of the company is achieved.
A company with a WACC of 8.5% is considering two possible investments. Project A will return 10% and be financed using equity costing 9.5%. Project B will return 8% and be financed using debt costing 6%. Which project should the company undertake
Answer:
The Company should undertake project A.
Explanation:
The finance of projects is usually done through pooling of funds, that is using various sources of finance. The WACC represents the return required by providers of this finance and also shows the risk of the company.
A company will always accept projects that provide a return higher that their weighted average cost of capital (risk) and reject any project offering a return below the WACC.
Conclusion :
The Company should undertake project A as this gives a return higher than the WACC of 8.5%.
Ideally, in effective marketing planning, goals should be _____ in terms of what is to be accomplished and when.
Answer:
The answer is quantified and measurable.
Explanation:
Goals need to be quantified and measurable in effective marketing planning. To determine what needs to be accomplished and when, we must put figures to it. This makes performance measurement easier where variances at the end can be analysed.
For example, one of the marketing goals for bank A might be to onboard 100 new customers every month for a year after the launching of its new mobile app.
This example is quantified and can be measured every month.
A customer buys 1,000 shares of XYZ at $60 in a margin account, regular way settlement. Two days after the trade, XYZ has dropped to $40. The minimum maintenance margin requirement is:
Answer:
$10,000
Explanation:
A customer buys 1,000 shares of XYZ
The shares are bought at $60 in a margin account
Two days after the price of XYZ drops to $40
The first step is to calculate the current market value
= 1,000 shares×$40
= $40,000
Therefore, the minimum maintenance margin requirement can be calculated as follows
= 25/100 × current market value
= 25/100 × 40,000
= 0.25×40,000
= $10,000
Hence the minimum maintenance margin requirement is $10,000
One year ago, you purchased a stock at a price of $55.20 per share. Today, you sold your stock at a loss of 18.63 percent. Your capital loss was $12.62 per share. What was the total dividends per share paid on this stock over the year
Answer:
Dividend = $2.34
Explanation:
Purchase Price = $55.20
Loss on stock = 18.63% of $55.20 = $10.28
Capital Loss = $12.62
Dividend = Capital Loss - Total Loss
Dividend = $12.62 - $10.28
Dividend = $2.34
Akram owns a small farm. He employs 80 workers in the field and has recently hired a manager to help him manage the farm. The income of the business varies greatly during the year. The farm makes a small profit but Akram is ambitious. He wants to take over a neighbour’s farm and increase the range of crops he sells. He thinks that he needs long-term finance and plans to take out bank loan to pay for the takeover. He has already borrowed money to buy a new tractor. A friend has advised him to form a company and sell shares
Question Completion:
Requirement. Identity two types of short-term finance Akram could use when the farm income is low
Answer:
Akram's Farm
Akram's farm can make good use of the following short-term financing sources:
1. Akram's farm can use Accounts Payable to provide short-term trade finance when the farm buys farm inputs, equipment, and other supplies on credit. The farm's Accounts Payable can provide interest-free trade loans by allowing the farm to take longer time to settle the suppliers. But, the farm should not miss out on cash discounts - an important source of trade finance.
2. Akram's farm can generate finances by ensuring early collections of the Accounts Receivable. Akram's farm can also go ahead and borrow on the accounts receivable through short-term bank loans guaranteed on the accounts. The farm can also factor the accounts receivable by selling them to factoring and finance houses for less.
Explanation:
Akram's farm is still a small farm that is not yet formed as a company. The immediate concentration is growing the entity and starting the processes for changing its corporate status so that it can take advantage of the sources of finance available to companies.
All else being equal, a marketing channel that has a high cost per exposure will have a ________ return on investment.
Answer:
all else being equal, a marketing channel that has a high cost per exposure will have a low return on investment
hich of the following is NOT one of the ways companies are using mobile apps? Group of answer choices track behavior across tablets and mobile devices utilize cookies to track mobile activity utilize GPS data to provide location-based offers track loyalty program participation add social value and entertainment to consumers' lives
Answer: Add social value and entertainment to consumers' lives
Explanation:
In this age of technology, companies have found that being able to offer their customers relevant products can be greatly helped by gathering information about them and offering it to them directly on their phones. A great way to do so is through the use of mobile apps.
With mobile apps a company can track behavior on the device as well as track mobile activity. They could even use the GPS capabilities of the phone through the app to offer relevant location based content.
However, as much as companies would like their customers to have enjoyable lives, this is not an aim with mobile apps. The apps are there to boost the companies sales not to add social value and entertainment to consumers' lives unless of course, that is the company's main business.
Answer:
Which features are created by wave erosion?
Your answer is:
- arches
- cliffs
- stacks
Explanation:
Disclosure of interest and income tax paid if the indirect method is used. Primary objectives of a statement of cash flows. Disclosure of noncash investing and financing activities.
Answer with Explanation:
The disclosure of interest and income tax paid if the indirect method is used is cited at FASB ACS 230-10-50-2 under the title "Statement of Cashflows-Overall Disclosure-Interest and Income Taxes Paid".The primary objectives of a statement of cash flows is cited at FASB ACS 230-10-10-1 under the title "Statement of Cashflows-Overall Objective".The disclosure of noncash investing and financing activities is cited at FASB ACS 230-10-50-3 under the title "Statement of Cashflows-Overall Disclosure-Noncash Investing and Financing Activities".The following data is given for the Bahia Company: Budgeted production 1,049 units Actual production 971 units Materials: Standard price per pound $1.971 Standard pounds per completed unit 12 Actual pounds purchased and used in production 11,302 Actual price paid for materials $23,169 Labor: Standard hourly labor rate $15.00 per hour Standard hours allowed per completed unit 4.3 Actual labor hours worked 5,000.65 Actual total labor costs $76,260 Overhead: Actual and budgeted fixed overhead $1,014,000 Standard variable overhead rate $27.00 per standard labor hour Actual variable overhead costs $140,018 Overhead is applied on standard labor hours. The variable factory overhead controllable variance is a.$75,397.52 unfavorable b.$75,397.52 favorable c.$27,284.90 unfavorable d.$27,284.90 favorable
Answer:
c.$27,284.90 unfavorable
Explanation:
Standard variable overhead rate =$27.00
Standard hours allowed per completed unit =4.3
Actual production unit =971
Actual variable overhead costs =$140,018
Variable factory overhead controllable variance = (Standard variable overhead rate * Standard hours allowed per completed unit * Actual production unit) - Actual variable overhead costs
Variable factory overhead controllable variance = ($27 * 4.3 * 971) - $140,018
Variable factory overhead controllable variance = $112,733.1 - $140,018
Variable factory overhead controllable variance = $27,284.9 (Unfavorable)
1.1. Which of the following ratios are key components in measuring a company's operating efficiency? (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer.)
a. Profit margin
b. Equity ratio
c. Return on total assets
d. Total asset turnover
1.2. Which ratio summarizes the components applicable in 11?
a. Debt ratio
b. Profit margin
c. Return on total assets
d. Total asset turnover
2. What measure reflects the difference between current assets and current liabilities?
a. Gross margin
b. Day's sales uncollected
c. Retun on total assets
3. Which of the following short-term liquidity ratios measure how frequently a company collects its accounts? (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer.)
a. Days' sales uncollected
b. Days' sales in inventory
c. Accounts receivable turnover
d. Acid test rato
Answer:
1.1 The ratio from the list below which measures the efficiency of the operations of a company is D - Total Asset Turnover Ratio.
Explanation:
Total Asset Turn Over Ratio is calculated by dividing Net Sales by Average Total Assets.
For example, if company CDH is reporting a value of $499,650 as initial total assets and $387,656 as ending total assets. Within the same period, the company generated sales of $250,655, with sales returns of $17,000.
This means that, the asset turnover ratio for Company CDH is calculated as follows:
($250,655-$17,000)/(($387,656+$499,650)/2)
The answer is 0.52667
Thus, every dollar in total assets generates $0.52667 in sales.
Efficiency ratios are important for rating the operations of the business. They are also used by investors and lenders when conducting financial analysis of businesses to decide whether the companies are a good investment.
1.2 The component which summarises the components applicable in 1.1 is D Total Asset Turnover
2. Working capital is the variance between current assets and current liabilities.
. This is simply the capital that an organisation uses in its day-to-day business operations.
3. The short-term liquidity ratios which calculate how frequently a company collects its accounts are:
A) Days' sales Uncollected and
C) Accounts receivable turnover.
A) Days' sales Uncollected is calculated by
(Accounts receivable/Net annual credit sales) x 365
It is the number of days before receivables are collected.
The lower the ratio the more liquid the company is likely to be. High Days' Sales Uncollected Ratios are bad for business.
C) Accounts receivable turnover is the annual rate at which a business collects its average accounts receivable.
Cheers!
The following data were taken from the financial statements of Gates Inc. for the current fiscal year. Property, plant, and equipment (net) $971,600 Liabilities: Current liabilities $140,000 Note payable, 6%, due in 15 years 694,000 Total liabilities $834,000 Stockholders' equity: Preferred $4 stock, $100 par (no change during year) $834,000 Common stock, $10 par (no change during year) 834,000 Retained earnings: Balance, beginning of year $890,000 Net income 386,000 $1,276,000 Preferred dividends $33,360 Common dividends 130,640 164,000 Balance, end of year 1,112,000 Total stockholders' equity $2,780,000 Sales $21,141,000 Interest expense $41,640 Assuming that total assets were $3,433,000 at the beginning of the current fiscal year, determine the following. When required, round to one decimal place.
Answer:
Ratio of fixed assets to long-term liabilities = fixed assets / long term liabilities = $971,600 / $694,000 = 1.4
Ratio of liabilities to stockholders' equity = total liabilities / stockholders' equity = $834,000 / $2,780,000 = 0.3
Asset turnover = net sales / average total assets = $21,141,000 / [($3,614,000 + $3,433,000)/2] = 6
Return on total assets = (net income + interest expense) / average total assets = ($386,000 + $41,640) / [($3,614,000 + $3,433,000)/2] = 12.14%
Return on stockholders’ equity = net income / average stockholders' equity = $386,000 / [($2,780,000 + $2,558,000) = 14.46%
Return on common stockholders' equity = net income / average common stockholders' equity = $386,000 / [($1,946,000 + $1,724,000) = 21.04%
The Sisyphean Company has a bond outstanding with a face value of $1,000 that reaches maturity in 8 years. The bond certificate indicates that the stated coupon rate for this bond is 8% and that the coupon payments are to be made semiannually. Assuming the appropriate YTM on the Sisyphean bond is 9.6%, then this bond will trade at
Answer:
this bond will trade at $912.05.
Explanation:
There is an Inverse relationship between the yield and the price of bond.
As the yield goes up, the price of bond goes down, that is trade at discount.Whereas, as the yield goes down, the price of bond goes up, that is trade at a premium.The Bond investment in Sisyphean Company is trading at a discount.
The Price of the Bond, PV can be determined as follows..
PV = ?
FV = $1,000
PMT = ($1,000 × 8%) ÷ 2 = $40
P/yr = 2
YTM = 9.6%
n = 8 × 2 = 16
Using a Financial Calculator, the Price of the Bond, PV is $912.05.
Many managers describe performance appraisal as the responsibility that they like least. Why is this so? What could be done to improve the situation?
Answer:
Many managers describe performance appraisal as the responsibility that they like least. Why is this so?
it might be so because managers may feel that performance appraisal is not as productive as other activities, or because they lack the personal skills, or the motivation, to engage in that activity.
What could be done to improve the situation?
Managers should be taught that performance appraisal can be a very effective and productive method for the firm. When workers are praised for their work (when they deserve it), they are likely to be happier in the workplace, and it has been shown by countless studies that happier workers are also more productive.
The Rhaegel Corporation’s common stock has a beta of 1.2. If the risk-free rate is 4.3 percent and the expected return on the market is 13 percent, what is the company’s cost of equity capital? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Answer:
Cost of equity = 14.74%
Explanation:
The capital asset pricing model is a risk-based model for estimating the return on a stock..
Here, the return on equity is dependent on the level of reaction of the the equity to changes in the return on a market portfolio. These changes are captured as systematic risk.
Systematic risks are those which affect all economic actors in the market, they include factors like changes in interest rate, inflation, etc. The magnitude by which a stock is affected by systematic risk is measured by beta.
Under CAPM,
E(r)= Rf + β(Rm-Rf)
E(r)- cost of equity , Rf-risk-free rate , β= Beta, Rm= Return on market.
Using this model, we can work out the value of beta as follows:
β-1.2 Rf- 4.3%, Rm = 13%
E(r) = 4.3% + 1.2 × (13 - 4.3)%=14.74 %
Expected return = 14.74 %
Cost of equity = 14.74%
Prior to setting pricing options for its products to maximize profit, a company must: a. determine whether it should use horizontal or vertical integration. b. select appropriate corporate-level strategies. c. perform value-chain functional activities.
Answer: b. select appropriate corporate-level strategies
Explanation:
Prior to setting pricing options for its products to maximize profit, a company must select appropriate corporate-level strategies.
This is necessary in order to ensure that the strategies aligns with what the organization is willing to do in order to achieve its profit maximization goal.
After reading it write about whether or not you agree with the academic economic consensus that independent officials running the Federal Reserve are able to properly balance their dual mandate in a fair and balanced fashion with the needs of workers in one hand and the financial industry on the other. If you agree with the consensus view explain your reasons; or if you disagree and think that the officials are biased in favor of the financial industry explain your reasoning with some possible solutions to the problem. Write at least two paragraphs articulating your views.
Answer:
The Federal Reserve has been at times biased in favor of the financial industry, because they have often put inflation targeting above the need to reduce unemployment when executing monetary policy. Besides, the financial industry has often been rescued by massive loans from the Fed.
However, the Federal Reserve has also acted in favor of reducing unemployment, specially during recessions, by expanding the money supply through a policy known as quantitative easing.
In conclusion, we can say that the Fed tends to be biased in favor of the financial industry, but not at all times.
Midhun uses internet to deposit 1 poin
and withdraw money from his
bank. Name this type of
banking.
e-commerce
O e-banking
O e-payment
O e-lending
Answer:
e banking
Explanation:
it is called e banking ( electronic), because Midhun is using both deposit and withdraw money through internet
5. Kroger can use __________ gathered from ClickList orders to determine which products they should keep more or less of in stock.
Answer: Data analytics
Explanation:
Data analytics simply has to do withcanalyzing raw data to make conclusions about a particular information. Data analytics is used by organizations in order to optimize their business performance.
Kroger can use data analytics gathered from ClickList orders to determine which products they should keep more or less of in stock.
Suppose that Mexico experienced a very severe period of inflation in 1972. As prices in Mexico rose, the demand in the foreign exchange market for Mexican pesos:
Answer:
demand for pesos would fall and supply would rise. their value would decrease as a result
Explanation:
Inflation is a persistent rise in general price level.
When there is high inflation in a country, the demand for the currency would fall because the value of the currency is low. this fall in demand coupled with the excess supply of the currency would lead to a fall in the value of the currency.
Hotel Cortez is an all-equity firm that has 10,900 shares of stock outstanding at a market price of $37 per share. The firm's management has decided to issue $66,000 worth of debt and use the funds to repurchase shares of the outstanding stock. The interest rate on the debt will be 8 percent. What is the break-even EBIT
Answer:
$32,264.07
Explanation:
The computation of the Break-even EBIT is shown below:
(EBIT ÷ Number of shares) = (EBIT - Interest) ÷ Number of shares
(EBIT ÷ 10,900) = (EBIT - $66,000 × 0.08) ÷ (10,900 - (66,000 ÷ $37))
(EBIT ÷ 10,900) = (EBIT - $5,280) ÷ (10,900 - 1,783.78)
(EBIT ÷ 10,900) = (EBIT - $5,280) ÷ (9116.22)
After solving this, the value of break-even EBIT is $32,264.07
One of the problems with licensing as a method of achieving international business is that it is a much more difficult procedure to implement than the other methods.
a. True
b. False
Answer: False
Explanation:
Licensing involves a company giving another company in another country/market permission to produce its products or use its likeness. The company that gets the license will then pay the parent company specified amounts for being able to do so.
This method of international business is cheap as the company licensing will see its brand spread to other countries without actually having to worry about set-up costs in the other country which can be very high. It is therefore one of the easiest methods of expanding to international markets there is.
Logan Corporation issued $800,000 of 8% bonds on October 1, 2006, due on October 1, 2011. The interest is to be paid twice a year on April 1 and October 1. The bonds were sold to yield 10% effective annual interest. Logan Corporation closes its books annually on December 31.
Instructions
(a) Prepare the amortization schedule (effective interest method) through October 1, 2007.
(b) Prepare the adjusting entry for December 31, 2007. Use the effective-interest method.
(c) Compute the interest expense to be reported in the income statement for the year ended December 31, 2007.
Answer:
a)
period interest interest discount amortized bond's
payment expense on BP discount carrying value
0 49,320.60 750,679.40
1 32,000 37,533.97 43,786.63 5,533.97 756,213.37
2 32,000 37,810.67 37,975.96 5,810.67 762,024.04
3 32,000 38,101.20 31,874.76 6,101.20 768,125.24
4 32,000 38,406.26 43,786.63 6,406.26 774,531.50
b)
December 31, 2017, accrued interest on bonds payable
Dr Interest expense 19,050.60
Cr Interest payable 16,000
Cr Discount on bonds payable 3,050.60
c)
total interest expense year 2007:
($37,533.97/2) + $37,810.67 + ($38,101.20/2) = $18,776.99 + $37,810.67 + $19,050.60 = $75,638.26
Explanation:
the market price of the bonds:
$800,000 / 1.05¹⁰ = $491,130.60
$32,000 x 8.1109 (PV annuity factor, 4%, 10 periods) = $259,548.80
market price = $750,679.40
discount on bonds payable $49,320.60
discount amortization first payment = (750,679.40 x 0.05) - 32,000 = 5,533.97
discount amortization second payment = (756,213.37 x 0.05) - 32,000 = 5,810.67
discount amortization third payment = (762,024.04 x 0.05) - 32,000 = 6,101.20
discount amortization fourth payment = (768,125.24 x 0.05) - 32,000 = 6,406.26
A corporate bond currently yields 8.5%. Municipal bonds with the same risk, maturity, and liquidity currently yield 5.5%. At what tax rate would investors be indifferent between the two bonds?
Answer: 35.29%
Explanation:
Municipal Bonds are attractive in that they give the tax benefit of being tax exempt whereas a corporate bond is liable for taxation. The tax rate that will therefore make an investor indifferent between the two bonds is the one that will equate the Corporate bond's yield net of tax to the yield on the Municipal bond.
5.5% = 8.5% * ( 1 - x)
5.5% = 8.5% - 0.085x
0.085x = 8.5% - 5.5%
0.085x = 3%
x = 35.29%
Sonic Inc. manufactures two models of speakers, Rumble and Thunder. Based on the following production and sales data for June, prepare (a) a sales budget and (b) a production budget: Rumble Thunder Estimated inventory (units), June 1 750 300 Desired inventory (units), June 30 500 250 Expected sales volume (units): Midwest Region 12,000 3,500 South Region 14,000 4,000 Unit sales price $60 $90 a. Prepare a sales budget.
Answer: please see explanation column
Explanation:
Rumble Thunder
Estimated inventory (units), June 1 750 300
Desired inventory (units), June 30 500 250
Expected sales volume (units):
Midwest Region 12,000 3,500
South Region 14,000 4,000
Unit sales price $60 $90
a) Sonic Inc. Sales Budget for June
Unit Sales Vol Unit Selling price Total Sales
Model Rumble:
Midwest Region 12000 60 $720,000
South Region 14000 60 $840,000
Total 1,560,000
Model Thunder:
Midwest Region 3500 $90 $315,000
South Region 4000 $90 $360,000
Total $675,000
Total revenue from sales 1,560,000 + $675,000 =$2,235,000
B) Sonic Inc. Production budget for June
Units Model Rumble Units Model Thunder
Expected units to be sold 26000 7500
Add: Desired ending inventory + 500 + 250
Total units required 26500 7750
Less: Beginning inventory - 750 - 300
Total units to be produced $25750 $ 7450
Calculation :
Expected units to be sold =12,000 + 14,000 = $26,000
3,500 + 4,000 = $7,500
Total units required=Expected units to be sold+ Desired ending inventory
26000 +500 =$26,500
7,500 +250= $7,750
A division of a manufacturing company has a return on investment of 24%. The division has an opportunity to accept a project that is expected to earn a return on investment of 22%. The company’s hurdle rate is 20% which of the following statements is true?
a) A division reports the following figures: Profit margin =20% Investment turnover = 0.5. The division return on investment is
b) If a company has $2,000,000 invested in buildings, equipment, and other assets and desires to earn a return on investment of 30%, the company will need to earn a net income of $ .
Answer:
Return on Investment
The statement that is true is:
b) If a company has $2,000,000 invested in buildings, equipment, and other assets and desires to earn a return on investment of 30%, the company will need to earn a net income of $600,000 (30% of $2,000,000).
Explanation:
The company's Return on Investment is a financial performance measure that calculates the efficiency of the use of investment resources by dividing the returns generated by an investment by the cost of the investment during a period of time. It can be used to evaluate a divisional manager's performance based on the returns generated from the investments made in the division.
. A stock is expected to pay a dividend of $0.75 at the end of the year. The required rate of return is rs = 10.5%, and the expected constant growth rate is g = 6.4%. What is the stock's current price
Answer:
The answer is $18.29
Explanation:
We have many formulas to arriving at the stock price but here we use Gordon growth model.
Formula for getting stock price is:
D1/r - g
Where:
D1 - is the next year dividend or expected dividend to be paid next.
r is the rate of return
g is the growth rate
$0.75/0.105 - 0.064
$0.75/0.041
$18.29.
Therefore, the stock's current price is $18.29
You are planning to save for retirement over the next 25 years. To do this, you will invest $880 per month in a stock account and $480 per month in a bond account. The return of the stock account is expected to be an APR of 10.8 percent, and the bond account will earn an APR of 6.8 percent. When you retire, you will combine your money into an account with an APR of 7.8 percent. All interest rates are compounded monthly. How much can you withdraw each month from your account assuming a withdrawal period of 20 years
Answer:
$14,143.86 can be withdrawn each month from the account for 20 years.
Explanation:
To determine this, the first step is to use the formula for calculating the future value (FV) of ordinary annuity to calculate the FV of both stock and bond as follows:
Calculation of Future Value of Stock
FVs = M × {[(1 + r)^n - 1] ÷ r} ................................. (1)
Where,
FVs = Future value of the amount invested in stock after 25 years =?
M = Monthly investment = $880
r = Monthly interest rate = 10.8% ÷ 12 = 0.9%, or 0.009
n = number of months = 25 years × 12 months = 300
Substituting the values into equation (1), we have:
FVs = $880 × {[(1 + 0.009)^360 - 1] ÷ 0.009}
FVs = $880 × 1,522.3445923122
FVs = $1,339,663.24
Calculation of Future Value of Bond
FVd = M × {[(1 + r)^n - 1] ÷ r} ................................. (1)
Where,
FVd = Future value of the amount invested in bond after 25 years =?
M = Monthly investment = $480
r = Monthly interest rate = 6.8% ÷ 12 = 0.566666666666667%, or 0.00566666666666667
n = number of months = 25 years × 12 months = 300
Substituting the values into equation (1), we have:
FVd = $480 × {[(1 + 0.00566666666666667)^300 - 1] ÷ 0.00566666666666667}
FVd = $480 × 784.895879465925
FVd = $376,750.02
Calculation of the amount that can be withdrawn monthly for 20 years
To calculate this, the formula for calculating the present value of an ordinary annuity is used as follows:
PV = P × [{1 - [1 ÷ (1+r)]^n} ÷ r] …………………………………. (3)
Where;
PV = Combined present values of stock and bond investments after retirement = FVs + FVb = $1,339,663.24 + $376,750.02 = $1,716,413.26
P = Monthly withdrawal = ?
r = Monthly interest rate = 7.8% ÷ 12 = 0.65%, or 0.0065
n = number of months = 20 years * 12 months = 240
Substitute the values into equation (3) and solve for P to have:
PV = P × [{1 - [1 ÷ (1+r)]^n} ÷ r]
$1,716,413.26 = P × [{1 - [1 ÷ (1 + 0.0065)]^240} ÷ 0.0065]
$1,716,413.26 = P × 121.353915567094
P = $1,716,413.26 / 121.353915567094
P = $14,143.86
Therefore, $14,143.86 can be withdrawn each month from the account for 20 years.
Your supervisor instructs you to purchase 480 pens and 6 staplers for the workplace. Pens are purchased in sets of 6 for $2.45. Staplers are sold in sets of 2 for $14.95. How much will the purchase of these products cost?
Answer:
Total cost= $225.9
Explanation:
Giving the following information:
Your supervisor instructs you to purchase 480 pens and 6 staplers for the workplace.
Pens are purchased in sets of 6 for $2.45.
Staplers are sold in sets of 2 for $14.95.
First, we need to calculate the number of "packs" to buy:
Pens= 480/6= 80
Staplers= 6/2= 3
Total cost= 80*2.45 + 2*14.95= $225.9
