Answer: $687.10
Explanation:
The value of a bond is the present value of the bond's coupon payments plus the present value of the bond's par value at maturity.
First convert terms to semi-annual periods as the coupon rate is semi annual:
Coupon payment = (1,000 * 8.75%) / 2 = $43.75
Required return = 13% / 2 = 6.5%
Number of periods = 25 * 2 = 50 semi annual periods
The coupon payment is an annuity so the value of the bond is:
= Present value of annuity + Present value of par
= (43.75 * ( 1 - (1 + 6.5%) ⁻⁵⁰) / 6.5%) + 1,000 / ( 1 + 6.5%)⁵⁰
= $687.10
Matt and Claire go into an interview for the same position and they get asked very different questions depending on how the interview is going. This type of interview is called:_____.
Answer:
Unstructured interview
Explanation:
Unstructured interview is defined as one in which the questions asked are not prearranged. Rather they are spontaneous and questions to be asked are formulated during the course of the interview.
On the other structured interview is when questions are prearranged and candidates are asked the same questions.
So when Matt and Claire go into an interview for the same position and they get asked very different questions depending on how the interview is going, they are answering unstructured interview questions.
Matt and Claire go into an interview for the same position.This type of interview is called Unstructured interview.
What is the term Unstructured Interview about?
Unstructured interview is defined as one in which the questions asked are not prearranged. Rather they are spontaneous and questions to be asked are formulated during the course of the interview.
On the other structured interview is when questions are prearranged and candidates are asked the same questions.
Learn more about Unstructured Interview, refer to the link:
https://brainly.com/question/12208322
Rizio Co. purchases a machine for $12,500, terms 2/10, n/60, FOB shipping point. Rizio paid within the discount period and took the $250 discount. Transportation costs of $360 were paid by Rizio. The machine required mounting and power connections costing $895. Another $475 is paid to assemble the machine and $40 of materials are used to get it into operation. During installation, the machine was damaged and $180 worth of repairs were made. In moving the machine to its steel mounting, $180 in damages occurred. Also, $40 of materials is used in adjusting the machine to produce a satisfactory product. The adjustments are normal for this machine and are not the result of the damages. Compute the cost recorded for this machine. (Rizio pays for this machine within the cash discount period.)
Answer:
Cost recorded for this machine = $14,240
Explanation:
Particulars Amount
Invoice Price $12,500
Less: Cash Discount $250 (12,500*2%)
Net Purchase Price $12,250
Add: Transportation Costs $360
Add: Power Connections $895
Add: Assemble Cost $475
Add: Material used $40
Add: Repair $180
Add: Material used in adjusting $40
Amount to be capitalized $14,240
Note: The repair cost is included because it is incurred before machine is put in operation.
The following information is available for Oriole Company
Accounts receivable $3,000 Cash $6,300
Accounts payable 4,400 Supplies 3,880
Interest payable 610 Unearned service revenue 860
Salaries and wages expense 4,700 Salaries and wages payable 890
Notes payable 32,000 Depreciation expense 760
Common stock 57,200 Equipment (net) 109,600
Inventory 2,940
Required:
Using the information above, prepare a balance sheet as of December 31, 2022.
Answer and Explanation:
The preparation of the balance sheet is presented below:
Assets Amount
Accounts receivable $3,000
Cash $6,300
Supplies $3,880
Equipment (net) $109,600
Inventory $2,940
Total assets $125,720
Liabilities and stockholder equity Amount
Accounts payable $4,400
Interest payable $610
Unearned service revenue $860
Salaries and wages payable $890
Notes payable $32,000
Common stock $57,200
Retained earning (bal figu) $29,760
Total liabilities & stockholder equity $125,720
The United Nations Human Development Report gives the following data for real GDP per person in 2014: China, $12,547; Russia, $22,352; Canada, $42,155; United States, $52,947.
Other information suggests that household production is similar in Canada and the United States and smaller than in China and Russia. The underground economy is larger in Russia and China and a similar proportion of each of these economies. Canadians and Americans enjoy more leisure hours than do the Chinese and Russians. Canada and the United States spend significantly more on the environment than do China and Russia. In which pair (or pairs) of countries is it easiest to compare the standard of living?
And in which pair (or pairs) is it most difficult? Explain why?
Answer:
B. between China and Russia or between Canada and the United States, because household production, the underground economy, leisure hours, and the environment are similar in each pair
Explanation:
The standard of living can be easily compared ______. A. between China and Canada because they have a similar land size B. between China and Russia or between Canada and the United States, because household production, the underground economy, leisure hours, and the environment are similar in each pair C. among none of the four countries because they are too different D. between Russia and the United States because they are both super powers E. among all four countries because real GDP per person includes a reliable measure of income, household production, the underground economy, leisure hours, and the environment
Real Per capita GDP measures the standard of living of the people in a country. The higher the Real Per capita GDP, the higher the standard of living
Real Per capita GDP = Real GDP / population
Gross domestic product is the total sum of final goods and services produced in an economy within a given period which is usually a year
Real GDP is GDP calculated using base year prices. Real GDP has been adjusted for inflation.
some items are not perfectly measured by GDP. They include
1. services not rendered to oneself
2. Activities not reported to the government
3. illegal activities
4. sale or purchase of used products
5. sale or purchase of intermediate products
Because GDP does not measure underground economy (illegal activities) , leisure , it would be difficult to compare either pair of countries
Venus International makes customized furniture and uses job order costing. During a period, its beginning raw materials inventory was $10,000. It purchased raw materials of $20,000 and ended the period with ending raw materials inventory of $3,000. What is the cost of raw materials transferred to Work in Process Inventory
Answer:
the cost of raw materials transferred to Work in Process Inventory is $27,000
Explanation:
The computation of the cost of raw materials transferred to Work in Process Inventory is shown below
= opening inventory + purchases made - ending inventory
= $10,000 + $20,000 - $3,000
= $27,000
Hence, the cost of raw materials transferred to Work in Process Inventory is $27,000
The same should be considered
Chuck Wagon Grills, Inc., makes a single product—a handmade specialty barbecue grill that it sells for $300. Data for last year’s operations follow: Units in beginning inventory 0 Units produced 9,500 Units sold 8,400 Units in ending inventory 1,100 Variable costs per unit: Direct materials $ 60 Direct labor 40 Variable manufacturing overhead 10 Variable selling and administrative 30 Total variable cost per unit $ 140 Fixed costs: Fixed manufacturing overhead $ 180,000 Fixed selling and administrative 780,000 Total fixed costs $ 960,000 Required: 1. Assume that the company uses variable costing. Compute the unit product cost for one barbecue grill. 2. Assume that the company uses variable costing. Prepare a contribution format income statement for last year. 3. What is the company’s break-even point in terms of the number of barbecue grills sold?
Answer:
Results are below.
Explanation:
The variable costing method incorporates all variable production costs (direct material, direct labor, and variable overhead).
Unitary production variable cost= 60 + 40 + 10
Unitary production variable cost= $110
Now, the income statement:
Sales= 300*8,400= 2,520,000
Total variable cost= 8,400*(110 + 30)= (1,176,000)
Total contribution margin= 1,344,000
Fixed manufacturing overhead= (180,000)
Fixed selling and administrative= (780,000)
Net operating income= $384,000
Finally, the break-even point in units:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 960,000 / (300 - 140)
Break-even point in units= 6,000
a. A fall in the price of donuts will cause a ________________ in the Supply Curve for donuts.
b. An increase in the price of flour will cause a _______________ in the Supply Curve for donuts.
c. An increase in the local number of donut shops will cause a __________ in the Supply Curve for donuts.
Answer:
movement down
leftward shift
rightward shift
Explanation:
Gravity, Inc., needs to raise $53 million to fund its expansion plans. The company will sell shares at a price of $29.00 in a general cash offer and the company's underwriters will charge a spread of 7.5 percent. How many shares need to be sold?a- 1,975,769b- 1,827,586c- 1,457,212d- 2,195,299e- 1,700,080
Answer:
a. 1,975,769
Explanation:
Underwriter's commission per share = 7.5% * $29
Underwriter's commission per share = $2.175
Amount received by company per share = Price per share in general cash offer - Underwriter's commission per share
Amount received by company per share = $29 - $2.175
Amount received by company per share = $26.825
Amount that company wants to raise = Number of shares sold * Amount received by company per share
53,000,000 = Number of shares sold * $26.825
Number of shares sold = 53,000,000 / $26.825
Number of shares sold = 1975768.87
No of shares to be sold = 1,975,768
True False All other variables held constant, investments paying simple interest have to pay significantly higher interest rates to earn the same amount of interest as an account earning compound interest. Everything else held constant, an account that earns compound interest will grow more quickly than an otherwise identical account that earns simple interest. All other factors being equal, both the simple interest and the compound interest methods will accrue the same amount of earned interest by the end of the first year.
Answer:
All other variables held constant, investments paying simple interest have to pay significantly higher interest rates to earn the same amount of interest as an account earning compound interest. TRUE.
This is a true statement because compound interest is based on the previous balance in addition to the interest earnings on the balance. It therefore accrues on a higher balance than simple interest which builds on the same amount of principal throughout. Simple interest would therefore need a higher rate to bridge this gap.
Everything else held constant, an account that earns compound interest will grow more quickly than an otherwise identical account that earns simple interest. TRUE.
An account earning compound interest would increase faster than an identical one using simple interest because compound interest is based on an accrued balance whilst simple interest does not change the balance it is based on.
All other factors being equal, both the simple interest and the compound interest methods will accrue the same amount of earned interest by the end of the first year. TRUE.
At the end of the first year, an assuming yearly compounding, both simple and compound interest will yield the same result because they would be based on the same principal amount.
Implement anyone principle from Industry 4.0 Six Design Principles on any organization?
Answer:
There is no principal in this room.
Explanation:
Come and get it https://app.conversion.ai/
Công ty M sản xuất một số mặt hàng
thuộc đối tượng nộp thuế GTGT theo phương pháp khấu trừ thuế, tổ chức kế toán
hàng tồn kho theo phương pháp kê khai thường xuyên. Trong tháng 1, phòng kế
toán có tài liệu liên quan đến các khoản thuế và các khoản phải nộp ngân sách
như sau:
I. Số dư đầu tháng 3: TK 333:
2.000.000đ trong đó chi tiết TK 33311: 2.000.000đ.
II. Phát sinh trong tháng:
1.
Công ty đã chi tiền mặt nộp thuế môn bài năm nay theo thông báo:
3.000.000đ.
2.
Nhận được thông báo nộp thuế tài nguyên trong kỳ: 2.000.000đ.
3.
Chi phí tiền lương trong kỳ:
- Bộ phận bán hàng: 55000.000đ
- Bộ phận quản lý doanh nghiệp:
60.000.000đ
Đến kỳ thanh toán lương, công ty tiến
hành trích các khoản theo lương và thực hiện khấu trừ lương của công nhân viên theo
quy định.
4.
Mua một xe con sử dụng phải đóng lệ phí trước bạ: 6.000.000đ.
5.
Nhận thông báo tạm nộp thuế TNDN quý I năm nay: 10.000.000đ.
6.
Tổng hợp tình hình tiêu thụ sản phẩm trong tháng: giá bán sản phẩm chưa
thuế 100.000.000đ, thuế GTGT 10%, trong đó chưa thu tiền khách hàng 50% giá
thanh toán, thu bằng TGNH 30% và bằng tiền mặt 20%.
7.
Nhận lại một số sản phẩm đã tiêu thụ tháng 2, nhập kho theo giá vốn
800.000đ, giá bán hàng trả lại 1.100.000đ (gồm thuế GTGT 100.000đ) trừ vào số
tiền khách hàng còn nợ.
8.
(Giả sử) cuối tháng lập tờ khai thuế GTGT, số tiền thuế GTGT đầu vào
được khấu trừ tháng này là 12.000.000đ.
9.
Chuyển TGNH nộp thuế GTGT 2.000.000đ, thuế TTĐB 22.500.000đ, thuế TNDN
tạm nộp, nộp hộ thuế TNCN cho CNV, đã nhận được giấy báo Nợ của NH.
Yêu cầu: Trình bày bút toán ghi sổ.
Answer:
vfnfhtjjhyhhhshahayyahauahaua
Classify each of the following statements as positive or normative.
Statement positive negative
Economic development should not take place at the expense of social justice.
The government can increase labor productivity by improving public education.
Society faces a short-run trade-off between inflation and unemployment.
The Federal Reserve should take action to lower the inflation rate.
The government must take action to reduce the unemployment rate.
Answer:
Positive Economics is the branch that deals with analysis of relationship among variable for establishment of cause and effects.
Normative Economics is the branch that deals with value judgement, what ought to be and not.
Statement Classification
1. Economic development should not Normative Economics
take place at the expense of social justice.
2. The government can increase labor Positive Economics
productivity by improving public education.
3. Society faces a short-run trade-off Positive Economics
between inflation and unemployment.
4. The Federal Reserve should take Normative Economics
action to lower the inflation rate.
5. The government must take action Normative Economics
to reduce the unemployment rate.
Prepare the Statement of Retained Earnings from the Adjusted Trial Balance and Income Statement. Within each section of the statement, use the drop-down menus to enter the accounts in Chart of Accounts order and select the account balances. SMART TOUCH LEARNING SMART TOUCH LEARNING Adjusted Trial Balance December 31, 2016 Income Statement Month Ended December 31, 2016 Balance Debit Credit Revenue: Account Title Service Revenue 51,300 Cash 16,900 Accounts Receivable 9,300 Expenses: 2,200 Office Supplies 200 Depreciation Expense--Furniture Interest Expense 300 Prepaid Rent 11,200 3,300 Rent Expense Furniture 19,700 Salaries Expense 3,900 Accumulated Depreciation--Furniture 6,700 Accounts Payable 900 2,200 Supplies Expense Total Expenses 10,600 Salaries Payable 500 Net Income Interest Payable 40,700 300 Unearned Revenue 5,600
Notes Payable 7,900 Common Stock 11,000 Retained Earnings 11,200 Dividends 28,800 Service Revenue 51,300 Depreciation Expense-- Furniture 2,200 Interest Expense 300 Rent Expense 3,300 Salaries Expense 3,900 Retained Earnings, December 31, 2016 23,100 Supplies Expense 900 Total 96,700 96,700
Answer:
SMART TOUCH LEARNING
Statement of Retained Earnings
For the Month Ended, December 31, 2016
Particulars Amount
Retained earning Dec 1, 2016 $11,200
Add: Net Income $40,700
$51,900
Less: Dividend $28,800
Retained earning Dec 31, 2016 $23,100
Which of the following businesses poses the highest degree of difficulty in e-commerce? Portals and infomediaries Businesses such as Travelocity, and those that sell digital music, and software Businesses that rely on a physical infrastructure Brick and mortar companies
Answer:
Businesses that rely on a physical infrastructure.
Explanation:
e-commerce is a short for electronic commerce and it can be defined as a marketing strategy that deals with meeting the needs of consumers, by selling products or services to the consumers over the internet.
This ultimately implies that, e-commerce is strictly based on the buying and selling of goods or services electronically, over the internet or through a digital platform. Also, the payment for such goods or services are typically done over the internet such as online payment services.
In view of the above details, businesses that rely on a physical infrastructure poses the highest degree of difficulty in e-commerce because it's only dependent online retailing.
Johnson Company uses the allowance method to account for uncollectible accounts receivable. Bad debt expense is established as a percentage of credit sales. For 2018, net credit sales totaled $6,300,000, and the estimated bad debt percentage is 1.30%. The allowance for uncollectible accounts had a credit balance of $60,000 at the beginning of 2018 and $49,000, after adjusting entries, at the end of 2018. Required: 1. What is bad debt expense for 2018 as a percent of net credit sales
Answer:
See below
Explanation:
For 2018, the net credit sales is totalled $6,300,000
Then, the estimated bad debt percentage is 1.30% of $6,300,000
= 1.30% × $6,300,000
= $81,900
Therefore, the bad debt expense for 2018 as a percentage of net credit sales is $81,900
The current price of canvas messenger bags is $36 each and sales of the bags equal 400 per week. If the price elasticity of demand is -2.5 and the price changes to $44, how many messenger bags will be sold per week?
Answer:
624
Explanation:
What is a company's authorized share capital?
Answer:
Authorized share capital is the number of stock units (shares) that a company can issue as stated in its memorandum of association or its articles of incorporation. Authorized share capital is often not fully used by management in order to leave room for future issuance of additional stock in case the company needs to raise capital quickly. Another reason to keep shares in the company treasury is to retain a controlling interest in the business.
Explain whether each of the following statements is true or false.
The marginal rate of substitution (MRS) diminishes as an individual moves downward along the demand curve. Assume the statement refers to good X with price Upper P Subscript Upper X , where good X is measured on the horizontal axis of an indifference map and good Y is measured on the vertical axis.
Answer:
1. True
Explanation:
Marginal rate of substitution is quantity of good which a consumer will need to have in order to leave another good. The MRS equals to Px/Py. This will decrease when the demand curve decreases.
The balance sheet of a partnership will:_________
a. report retained earnings below the partnership capital accounts.
b. show a separate capital account for each partner.
c. show a separate drawing account for each partner.
d. show the amount of income that was distributed to each partner.
Answer:
b. show a separate capital account for each partner.
Explanation:
A partnership can be defined as a type of business ownership in which two or more individuals come together to start up a business and share the profits made together.
Balance sheet refers to a document that contains financial information about assets, liability, and equity.
A current asset can be defined as all of the assets that are being owned by a company or business entity and are expected to be converted into their cash equivalent through sales or use within a period of one year of its date on the organization's balance sheet.
In Financial accounting, the balance sheet of a partnership is typically designed to show a separate capital account for each partner. Thus, if there are four or more people in a partnership form of business, each of them would have a separate capital account in the balance sheet of the partnership.
Ivanhoe Company buys merchandise on account from Metlock Company. The selling price of the goods is $1,290 and the cost of the goods sold is $770. Both companies use perpetual inventory systems.
Journalize the transactions on the books of both companies. (If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts. Credit account titles are automatically indented when amount is entered. Do not indent manually.)
Account Titles and Explanation
Debit
Credit
Ivanhoe
Enter an account title
Enter a debit amount
Enter a credit amount
Enter an account title
Enter a debit amount
Enter a credit amount
Metlock
Enter an account title to record sale of merchandise
Enter a debit amount
Enter a credit amount
Enter an account title to record sale of merchandise
Enter a debit amount
Enter a credit amount
(To record sale of merchandise)
Enter an account title
Enter a debit amount
Enter a credit amount
Enter an account title
Enter a debit amount
Enter a credit amount
Answer and Explanation:
The journal entries are shown below:
Ivanhoe Company
Merchandise Inventory $1,290
Accounts payable $1,290
(Being Merchandice purchased on the account is recorded)
Metlock Company
Accounts Receivable $1,290
Sales $1,290
(Being Merchandise sold on account is recorded)
Cost of goods sold $770
Merchandise inventory $770
(Being the Change in stock for the sale of merchandise is recorded)
The following transactions are for Splish Brothers Company.
1. On December 3, Splish Brothers Company sold $515,600 of merchandise to Sunland Co., on account, terms 3/10, n/30. The cost of the merchandise sold was $320,500.
2. On December 8, Sunland Co. was granted an allowance of $24,000 for merchandise purchased on December 3.
3. On December 13, Splish Brothers Company received the balance due from Sunland Co.
Required:
Prepare the journal entries to record these transactions on the books of Splish Brothers.
Answer and Explanation:
The journal entries are shown below:
On Dec 3
Account receivable $515,600
To Sales revenue $515,600
(Being the sale of merchandise on account is recorded)
Cost of goods sold $320,500
To Inventory $320,500
(Being the cost of merchandise sold on account)
On Dec 8
Sales allowance $24,000
To Account receivable $24,000
On Dec 13
Cash (491600 × 97%) $476,852
Sales discount $14,748
To Account receivable ($515,600 - $24,000) $491,600
(Being the cash received is recorded)
Clay is a marketing student learning how to evaluate value propositions for effectiveness. He looked through ten different propositions and found them to all be ineffective. What elements did he mostly likely identify as the reasons for their ineffectiveness?
Answer: they were generic, and they had no unique value communicated
Explanation:
Value proposition refers to the promise
that's made by an organization to its customers indicating why a product should be bought.
Since Clay looked through ten different propositions and found them to all be ineffective, the reason attributed to this will be due to the fact that the propositions were generic, and had no unique value communicated.
A company reporting under US GAAP seeking to present a more favorable view of operating income in its quarterly earnings release could: Identify a gain on sale in a non-GAAP reconciliation. Identify a restructuring charge (expense) in a non-GAAP reconciliation. Identify a loss in the fair value of an equity investment. Elect to not recognize stock-based compensation on its GAAP income statement. All of the abo
Answer: All of the above
Explanation:
Based on the information given, we can infer that the company reporting under US GAAP that seeks to present a more favorable view of operating income in its quarterly earnings release will do all of the above options given.
The company can identify the gain on the sale in a non-GAAP reconciliation, or a restructuring charge in a non-GAAP reconciliation. There can also be identification of a loss in the fair value of an equity investment and can also elect to not recognize stock-based compensation on the GAAP income statement.
There are some instances whereby the operations of a business aren't portrayed properly by GAAP reporting. Then, companies can then display their own accounting figures, which will disclosed as non-GAAP.
Dexter Company uses the direct write-off method. March 11 Dexter determines that it cannot collect $8,700 of its accounts receivable from Leer Co. 29 Leer Co. unexpectedly pays its account in full to Dexter Company. Dexter records its recovery of this bad debt. Prepare journal entries to record the above transactions.
Answer and Explanation:
The journal entries are shown below;
On Mar 11.
Bad debt exp $8,700
To Accounts receivable $8,700
(Being the bad debt expense is recorded)
On Mar 29
Accounts receivable $8,700
To Bad debt exp $8,700
(Being reversal is recorded)
Cash $8,700
To Accounts receivable $8,700
(being the recovery of the bad debt is recorded)
You have $267,000 to invest in a stock portfolio. Your choices are Stock H, with an expected return of 14.2 percent, and Stock L, with an expected return of 11.8 percent.
Required:
If your goal is to create a portfolio with an expected return of 12.85 percent, how much money will you invest in Stock H and in Stock L? (Do not round intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).)
Investment in Stock H $ _________________
Investment in Stock L $ _________________
Answer and Explanation:
The computation of the money invested in stock H and stock L is given below;
Given that
H expected return is 14.2%
and l expected return is 11.8%
and,
portfolio return is 12.85%
Now if we assume that
if h investment portion is X and l investment portion is 1-X
So,
12.85= X × 14.2 +(1 - X) × 11.8
= 14.2X+11.8-11.8X
1.05= 2.4X
X= 43.75%
So investment portion of l is 56.25%
Finally
h investment = 267,000 × 43.75%
= $116,812.5 0
And,
l investment = 267,000 × 56.25%
= $150187.50
. Alternative A has a first cost of $20,000, an operating cost of $9,000 per year, and a $5,000 salvage value after 5 years. Alternative B will cost $35,000 with an operating cost of $4,000 per year and a salvage value of $7,000 after 5 years. At an MARR of 12% per year, which should be selected
Answer and Explanation:
The computation is shown below:
NPW of X is
= -$20,000 - $9,000 × (P/A,12%,5) + $5,000 × (P/F,12%,5)
= -$20,000 - $9,000 × 3.604776 + $5,000 × 0.567427
= -$49,605.85
And,
NPW of Y is
= -$35,000 - $4,000 × (P/A,12%,5) + $7,000 × (P/F,12%,5)
= -$35,000 - $4,000 × 3.604776 + $7,000 × 0.567427
= -$45,447.11
Based on the above calculations as we can see that net present cost of Y is lower than the net present cost of X so Y should be selected
Andrews has a new design for their product Axe next round that can reduce their material cost of producing units from $8.13 to $7.33. Andrew passes on one quarter of all cost savings by cutting the current price to customers. For simplicity: Current selling price = $19.00; Use current labor costs of $4.02; Use period costs of $7,260 (from Income Statement).
Required:
Determine the new selling price to break even next round.
Answer:
$18.80
Explanation:
New selling price = Old selling price - Adjustments
Old selling price = $19.00, Adjustments = 1 quarter of reduced raw material costs difference
New selling price = $19.00 - ($8.13 - $7.33)/4
New selling price = $19.00 - $0.20
New selling price = $18.80
So, the new selling price to break even next round is $18.80.
Sally has invested $10,000 now and wants to earn a real interest rate of 10% per year. Assume that the inflation rate is 7% per year. Determine the future worth Sally has to receive 10 years from now? a) $62, 338 b) Unknown c) $42, 338 d) $52, 338
Answer:
Results are below.
Explanation:
Giving the following information:
Inflation rate= 7%
Real rate of return= 10%
Present value (PV)= $10,000
Number of periods (n)= 10 years
The real rate of return incorporates the effect of the inflation rate. Therefore, the nominal rate of return:
Nominal rate of return= 0.1 + 0.07= 17%
To calculate the Future Value, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 10,000*(1.17^10)
FV= $48,068.28
This is the nominal value received after ten years.
If Sally wants to determine the real value of the investment after 10 years, we must use the real rate of return:
FV= 10,000*(1.1^10)
FV=$25,937.42
Fremont LLC is looking to purchase new water chlorination equipment. A salesman from Industrial Water Services (IWS) offered water chlorination equipment for $2.1 million. IWS also said that Fremont LLC would not have to pay for the equipment now and can pay after 2 years. While the price offered by a competing saleswoman from AG Enterprises is $1.7 million to be paid now. Fremont LLC's real MARR is 12% per year, and the inflation rate is 3.9% per year. Determine which offer is better.
a. AG offer
b. IWS offer
Answer:
Fremont LLC
Purchase of New Water Chlorination Equipment
The better offer is:
b. IWS offer
Explanation:
a) Data and Calculations:
Offer from Industrial Water Services (IWS) = $2.1 million
Payment term = 2 years
MARR = 12%
Inflation rate = 3.9%
Present value of IWS offer = $1,563,336.34 (see below)
Present value of AG Enterprises offer = $1.7 million
N (# of periods) 2
I/Y (Interest per year) 15.9
PMT (Periodic Payment) 0
FV (Future Value) 2100000
Results
PV = $1,563,336.34
Total Interest $536,663.66
Jane is a very intelligent graduate of FIN 3601. As such, she knows she should will start contributing into her company's retirement plan. She decides to allocate $250 at the end of each month into her 401(k). However, her company offers a fairly generous matching program. For every dollar that Jane saves in her 401(k), her firm will add $0.50 to her account. If she is employed by this firm for 30 years and earns an average of 10.50% on her retirement savings per year, how much will Jane have in her retirement account 30 years from now? Report your answer rounded to two decimal places.
Answer:
The amount that Jane will have in her retirement account 30 years from now is $943,650.37.
Explanation:
Jane’s monthly savings = $250
Amount added monthly by Jane’s firm = Jane’s monthly savings * Amount added by Jane’s firm for every dollar = $250 * $0.50 = $125
Total monthly savings to Jane’s 401(k) = Jane’s monthly savings + Amount added monthly by Jane’s firm = $250 + 125 = $375
Since Jane decides to allocate $250 at the end of each month into her 401(k), this implies the relevant formula to use to calculate the amount Jane will have in her retirement account 30 years from now is the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = M * (((1 + r)^n - 1) / r) ................................. (1)
Where,
FV = Future value or the amount that Jane will have in her retirement account 30 years from now = ?
M = Total monthly savings to Jane’s 401(k) = $375
r = Average monthly interest rate = Average annual interest rate / 12 = 10.50% / 12 = 0.1050 / 12 = 0.00875
n = number of months = number of years * number of months in a year = 30 * 12 = 360
Substituting the values into equation (1), we have:
FV = $375 * (((1 +0.00875r)^360 - 1) / 0.00875) = $375 * 2,516.40 = $943,650.37
Therefore, the amount that Jane will have in her retirement account 30 years from now is $943,650.37.