Answer:
Monthly withdraw= $5,870.6
Explanation:
Giving the following information:
Stock:
Monthly deposit= $700
Interest rate= 0.075/12= 0.00625
Number of periods= 30*12= 360
Bond:
Monthly deposit= $400
Interest rate= 0.055/12= 0.0045833
Number of periods= 30*12= 360
First, we need to calculate the value of the investment at the moment of retirement:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Stock:
FV= {700*[(1.00625^360) - 1]} / 0.00625
FV= $943,211.797
Bond:
FV= {400*[(1.00458^360) - 1]} / 0.00458
FV= $365,447.415
Total FV= $1,308,659.212
Now, the monthly withdrawal:
Interest rate= 0.025/12= 0.002083
Number of periods= 25*12= 300
Monthly withdraw= (FV*i) / [1 - (1+i)^(-n)]
Monthly withdraw= (1,308,659.212*0.002083) / [1 - (1.002083^-300)]
Monthly withdraw= $5,870.6
Suppose that an additional 350 hours per week can be obtained from the milling machines by working overtime. The incremental cost would be $2.00 per hour. What would be the allowable increase(from the excel sensitivity report) in overtime when compared to additional hours that can be obtained
Solution :
It is given that :
Additional time obtained per week from milling machines = 350
The incremental cost = $ 2 per hour
Therefore, the allowable increase for milling operation is 400.
This indicates that we can accommodate additional constraint RHS of [tex]200[/tex] hours.
Also we have to consider the impact on the profit of 2.25 which is an incremental cost of [tex]1.5[/tex] is well affordable.
The following information relates to last year's operations at the Legumes Division of Gervani Corporation: Minimum required rate of return 12% Return on investment (ROI) 15% Sales $ 900,000 Turnover (on operating assets) 3 times What was the Legume Division's net operating income last year
Answer: $45000
Explanation:
Firstly, the operating asset will be calculated which will be:
Operating asset = Sales / Turnover
= 900,000/3
Operating assets = $300,000
Then, the net operating income will be: Return on investment × Operating assets
Net operating income = 300,000 × 15%
= 300,000*0.15
= $45,000
Therefore, Legume Division's net operating income last year is $45000
About 1.4 billion pounds of American, cheddar and other kinds of cheese is socked away at cold-storage warehouses across the country, the biggest stockpile since federal record-keeping began a century ago...Many [cheese companies] are paying to store their excess cheese in hopes demand and prices will improve. Source: Heather Haddon, "America Can't Move Its Cheese," Wall Street Journal, December 17, 2018. What effect did the strategy of warehousing cheese have on the supply of cheese? Using the line drawing tool, show the effect of cheese producers storing cheese in warehouses rather than offering it for sale. Properly label your line. Carefully follow the instructions above, and only draw the required object
Answer: See explanation
Explanation:
Since the cheese companies are paying to store their excess cheese in hopes demand and prices will improve, then this will bring about the reduction in the supply of cheese in the market but the demand for cheese will still be constant.
Due to the fact that there is shortage of supply, the supply curve will shift leftward and as a result of this, the price if cheese will increase and the quantity demanded by the customers will then decrease as a result of price increase.
Harrison Ford Company has been approached by a new customer with an offer to purchase 10,000 units of its model IJ5 at a price of $4.00 each. The new customer is geographically separated from the company's other customers, and existing sales would not be affected. Harrison normally produces 75,000 units of IJ5 per year but only plans to produce and sell 60,000 in the coming year. The normal sales price is $12 per unit. Unit cost information for the normal level of activity is as follows:
Direct Materials $1.75
Direct Labor 2.50
Variable Overhead 1.50
Fixed Overhead 3.25
Total $9.00
Required:
a. What are the relevant costs and benefits of the two alternatives (accept or reject the special order)?
b. By how much will operating income increase or decrease if the order is accepted?
Answer:
a. The relevant costs and benefits of the two alternatives are as follows:
Relevant costs = $57,500
Relevant benefits = $40,000
b. Operating income will decrease if the order is accepted by $17,500.
Explanation:
a. What are the relevant costs and benefits of the two alternatives (accept or reject the special order)?
Note that accepting the special order will increase the planned production from 60,000 to 70,00. Since this still lower than normal 75,000 units of production, this implies that Fixed Overhead will not be incurred when the order is accepted. Therefore, the Fixed Overhead is not relevant in this situation.
Therefore, the relevant costs and benefits of the two alternatives are as follows:
Relevant costs = Units of special order * (Direct Materials + Direct Labor + Variable Overhead) = 10,000 * ($1.75 + $2.50 + $1.50) = $57,500
Relevant benefits = Revenue from the special order = Units of special order * Unit price of special order = $10,000 * $4 = $40,000
b. By how much will operating income increase or decrease if the order is accepted?
Amount of decrease in operating income = Relevant costs - Relevant benefits = $57,500 - $40,000 = $17,500
Since the relevant costs will greater than the relevant benefits, it can be observed from the calculation above that operating income will decrease if the order is accepted by $17,500.
At the beginning of the period, the Cutting Department budgeted direct labor of $125,000, direct materials of $151,000 and fixed factory overhead of $11,800 for 8,000 hours of production. The department actually completed 10,600 hours of production. What is the appropriate total budget for the department, assuming it uses flexible budgeting? Round hourly rates to two decimal places. Round interim calculations to two decimal places. Round your final answer to the nearest dollar. a.$381,335 b.$377,606 c.$291,635 d.$287,800
Answer:
the appropriate total budget should be $377,500
Explanation:
The computation of the appropriate total budget should be given below:
Direct material ($151,000 ÷ 8,000 × 10,600) $200,075
direct labor ($125,000 ÷ 8,000 × 10,600) $165,625
fixed factory overhead $11,800
Total budget cost 377,500
Hence, the appropriate total budget should be $377,500
This is the answer but the same is not provided in the given options
The balance in a company's Cash account on August 31 was $18,800 before the bank reconciliation was prepared. After examining the August bank statement and items included with it, the company's accountant found: Checks outstanding $ 3,300 NSF check 110 Note collected by bank for the Colt Company 1,650 Deposits outstanding 2,800 Bank service fees 220 What is the amount of cash that should be reported in the balance sheet as of August 31
Answer:
$20,340
Explanation:
The amount of cash to be recognize is the adjusted amount after considering the transactions that were omitted from the bank statement and cash book and properly recognizing the erroneous entries into the two books.
Considering the reconciling items,
Checks outstanding $ 3,300 - This has been recognized in the company's Cash account and as such need no adjustment in the company's books
NSF check 110 - This has been deducted from the company's cash book but was not honored by the bank as such, it will be added back to the company's cash book balance
Note collected by bank for the Colt Company 1,650 - This has been recognized by the bank and as such will be added to the company's cash book balance
Deposits outstanding 2,800 - This has been recognized in the company's Cash account and as such need no adjustment in the company's books.
Bank service fees 220 - This has been recognized by the bank and as such will be deducted as a charge to the company's cash book balance
Hence the amount of cash that should be reported in the balance sheet as of August 31 will be
= $18,800 + $110 + $1650 - $220
= $20,340
Next year, we will be in a boom, bust, or normal state with 25%, 25% and 50% probabilities respectively. Apple will return 15%, -22% and 7% in each state (again respectively).
a) What is the expected return for Apple next year?
b) What is the standard deviation of returns for Apple next year?
Answer:
a. 1.75%b. 14.10%Explanation:
a. Expected return:
This will be a weighted average of the returns in different states.
= (25% * 15%) + (25% * -22%) + (50% * 7%)
= 1.75%
b. Standard deviation:
= √ Variance
= √(25% * (15% - 1.75%)²) + (25% * (-22% - 1.75%)²) + (50% * (7% - 1.75%)²)
= √0.01986875
= 14.10%
Accurate Metal Company sold 36,500 units of its product at a price of $340 per unit. Total variable cost per unit is $179, consisting of $172 in variable production cost and $7 in variable selling and administrative cost. Compute the manufacturing margin for the company under variable costing.
Answer: $6,132,000
Explanation:
The manufacturing margin for the company under variable costing will use the variable production costs only as these are the variable costs incurred during manufacturing:
Variable manufacturing margin = ( Sales price - Variable cost per unit) * number of units
= (340 - 172) * 36,500
= 168 * 36,500
= $6,132,000
On June 30, 2021, Moran Corporation issued $9.0 million of its 8% bonds for $8.1 million. The bonds were priced to yield 10%. The bonds are dated June 30, 2021. Interest is payable semiannually on December 31 and July 1. If the effective interest method is used, by how much should the bond discount be reduced for the six months ended December 31, 202
Answer:
$45,000
Explanation:
Calculation to determine by how much should the bond discount be reduced for the six months ended December 31, 202
First step
Semiannual interest paid on 31.12.2021 = $9,000,000*8%*6/12
Semiannual interest paid on 31.12.2021= $360,000
Second step
Effective interest expense on 31.12.2021 = $8,100,000 * 10% * 6/12
Effective interest expense on 31.12.2021= $405,000
Last step
Bond discount to be reduced for 6 months ended 31.12.2021 = $405,000 - $360,000
Bond discount to be reduced for 6 months ended 31.12.2021=$45,000
Therefore by how much should the bond discount be reduced for the six months ended December 31, 202 will be $45,000
An electronics store introduces three new types of music players to its customers. Each of the new music players are priced at $99, $79, and $59. Which psychological pricing approach is the store using to price the music players
Answer: The case of the number nine
Explanation:
Studies have shown that the human brain prefers to buy things whose prices end with the number 9 as opposed to zero such as 10 or 100.
The brain apparently interprets the number 9 at the end of a price to mean that the person is saving money and getting better value by buying the product. In making all three prices end in nine, the electronics store is using this psychological pricing strategy.
As CFO, one of your responsibilities is to maximize the profits obtained from your organization. How can the strategy review, evaluation and control practices used within your organization be used to assure this outcome
Answer:
The chief financial officer of an organization has the main objectives of maximizing the profits obtained from the organization. This is a task of great responsibility, and one that requires the joint efforts of the entire organizational system.
It is therefore necessary that there is constant management of the strategy, including review, evaluation and control, to monitor how the planned short and long-term action plans are being effective to achieve the financial objectives of a company.
A CFO's functions are to achieve total quality, through the improvement of organizational processes in the micro and macro environment of the company, aligning the company's strategy to achieve better results. Some essential actions of a CFO are to increase sales, reduce operating costs, achieve economies of scale, improve marketing, etc.
Starbooks Corporation provides an online bookstore for electronic books. The following is a simplified list of accounts and amounts reported in its accounting records. The accounts have normal debit or credit balances and the dollars are rounded to the nearest thousand. Assume the year ended on September 30, 2012.
Accounts Payable $ 219
Accounts Receivable 189
Accrued Liabilities 352
Accumulated Depreciation 298
Cash 305
Contributed Capital 149
Depreciation Expense 338
General and Administrative Expenses 355
Income Tax Expense 300
Interest Revenue 90
Long-term Debt 194
Other Current Assets 69
Other Noncurrent Assets 459
Other Expenses 195
Prepaid Expenses 92
Property and Equipment 2,140
Retained Earnings 1,443
Selling Expenses 2,603
Service Revenue 6,361
Short-term Bank Loan 474
Store Operating Expenses 2,164
Supplies 544
Unearned Revenue 173
Prepare an adjusted trial balance at September 30, 2012. (Enter your answers in thousands.)
Answer:
Trial Balance of Starbooks Corporation as on September 30, 2012
Particulars Debit Credit
Accounts Payable $219
Accounts Receivable $189
Accrued Liabilities $352
Accumulated Depreciation $298
Cash $305
Contributed Capital $149
Depreciation Expense $338
General & Admin. Exp. $355
Income Tax Expense $300
Interest Revenue $90
Long-term Debt $194
Other Current Assets $69
Other Noncurrent Assets $459
Other Expenses $195
Prepaid Expenses $92
Property and Equipment $2,140
Retained Earnings $1,443
Selling Expenses $2,603
Service Revenue $6,361
Short-term Bank Loan $474
Store Operating Expenses $2,164
Supplies $544
Unearned Revenue $173
Total $9753 $9753
Zachary Electronics currently produces the shipping containers it uses to deliver the electronics products it sells. The monthly cost of producing 9,100 containers follows. Unit-level materials $ 6,400 Unit-level labor 6,400 Unit-level overhead 3,800 Product-level costs* 8,400 Allocated facility-level costs 28,000 *One-third of these costs can be avoided by purchasing the containers. Russo Container Company has offered to sell comparable containers to Zachary for $2.70 each. Required Calculate the total relevant cost. Should Zachary continue to make the containers
Answer:
Zachary Electronics
Zachary should continue to make the containers. It is cheaper to make than to buy from Russo Container Company.
Explanation:
a) Data and Calculations:
Production units = 9,100 containers
Unit-level materials $ 6,400
Unit-level labor 6,400
Unit-level overhead 3,800
Total unit-level costs $16,600
Product-level costs* 8,400
Allocated facility-level costs 28,000
Relevant or avoidable costs:
Unit-level materials $ 6,400
Unit-level labor 6,400
Unit-level overhead 3,800
Total unit-level costs $16,600
Product-level costs* 2,800 ($8,400 * 1/3)
Total relevant costs = $19,400 (to make)
Relevant cost to buy:
Offer from Russo Container company = $2.70 per container
Total cost from outside supplier = $24,500 ($2.70 * 9,100)
Question 6 of 10
How does a low credit score affect a person who applies for a loan?
O A. It causes banks to charge the person higher interest rates on the
loan.
B. It makes it easier for the person to get a loan with a poor debt-to-
income ratio.
C. It allows banks to give the person a loan without checking his or
her tax records.
D. It makes banks more likely to give the person a large, long-term
loan.
SUBMIT.
Answer:
A. it causes Banks to charge the person higher interest rates on the loan
Denise will receive annual payments of $10,000 for the next 25 years. The discount rate is 6.8 percent. What is the difference in the present value of these payments if they are paid at the beginning of each year rather than at the end of each year
Answer: $8,069.29
Explanation:
If it is paid at the beginning of the year, it accumulates an extra year of interest and would be an Annuity Due.
If it is paid at the end, it is an ordinary annuity.
Present value of annuity due = Annuity * Present value interest factor of Annuity due, 6.8%, 25 periods
= 10,000 * 12.673521
= $126,735.21
Present value of annuity = Annuity * Present value interest factor of annuity, 6.8%, 25 periods
= 10,000 * 11.866592
= $118,665.92
Difference :
= 126,735.21 - 118,665.92
= $8,069.29
A comparison of the severity and likelihood of a risk is called?
The following information is available for Lock-Tite Company, which produces special-order security products and uses a job order costing system. April 30 May 31 Inventories Raw materials $ 33,000 $ 32,000 Work in process 9,400 20,800 Finished goods 50,000 34,600 Activities and information for May Raw materials purchases (paid with cash) 171,000 Factory payroll (paid with cash) 250,000 Factory overhead Indirect materials 12,000 Indirect labor 57,500 Other overhead costs 110,000 Sales (received in cash) 1,700,000 Predetermined overhead rate based on direct labor cost 55 % Exercise 19-7 Cost flows in a job order costing system LO P1, P2, P3, P4 Compute the following amounts for the month of May using T-accounts. Cost of direct materials used. Cost of direct labor used. Cost of goods manufactured. Cost of goods sold\.\* Gross profit. Overapplied or underapplied overhead. *Do not consider any underapplied or overapplied overhead.
Answer:
Lock-Tite Company
Cost of direct materials used = $160,000
Cost of direct labor used = $192,500 ($250,000 - $57,500)
Cost of goods manufactured = $446,975
Cost of goods sold = $462,375
* Gross profit = $1,237,625
Overapplied or underapplied overhead = $73,625
*Do not consider any underapplied or overapplied overhead.
Explanation:
a) Data and Calculations:
Inventories April 30 May 31
Raw materials $ 33,000 $ 32,000
Work in process 9,400 20,800
Finished goods 50,000 34,600
Activities and information for May:
Raw materials purchases (paid with cash) 171,000
Factory payroll (paid with cash) 250,000
Factory overhead:
Indirect materials 12,000
Indirect labor 57,500
Other overhead costs 110,000
Sales (received in cash) 1,700,000
Predetermined overhead rate based on direct labor cost 55 %
T-accounts:
Raw materials
Date Account Titles Debit Credit
April 30 Inventory balance $ 33,000
May Cash 171,000
May Factory overhead $12,000
May Work in process 160,000
May 31 Inventory balance $ 32,000
Work in process
Date Account Titles Debit Credit
April 30 Inventory balance $ 9,400
May Raw materials 160,000
Factory payroll 192,500
Factory overhead 105,875
Finished goods $446,975
May 31 Inventory balance $ 20,800
Finished goods
Date Account Titles Debit Credit
April 30 Inventory balance $ 50,000
May Work in process 446,975
May Cost of goods sold $462,375
May 31 Inventory balance $ 34,600
Factory overhead
Date Account Titles Debit Credit
May Raw materials 12,000
Payroll 57,500
Other expenses 110,000
May Work in process $105,875
May Underapplied overhead 73,625
Sales revenue = $1,700,000
Cost of goods sold (462,375)
Gross profit $1,237,625
Inventory balances for the Jameson Company in October 2018 are as follows:
October 1, 2018 October 31, 2018
Raw materials $27,000 $21,000
Work in process 48,000 37,200
Finished goods 108,000 90,000
During October, purchases of direct materials were $36,000. Direct labor and factory overhead costs were $60,000 and $84,000, respectively. What are the total manufacturing costs added to production in the period?
Answer:
Total manufacturing costs added to production $186,000
Explanation:
The computation of the total manufacturing cost to be added is given below:
Raw materials,beginning $27,000
Add: Purchases of direct materials $36,000
Less: Raw materials,ending -$21,000
Direct materials used $42,000
Direct labor $60,000
Factory overhead costs $84,000
Total manufacturing costs added to production $186,000
What is the present value of an annuity that pays $58 per year for 13 years and an additional $1,000 with the final payment
Answer:
$882.03
Explanation:
Interest rate used is 7.23%
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
Cash flow in year 1 to 12 = 58
cash flow in year 13 = 1058
I = 7.23
To find the PV using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
g is considering eliminating the fruit product line. If this line is eliminated, Orange Company will be able to eliminate $74,000 of total fixed costs. By how much would this business decision increase operating income
The business decision increase the operating income by $16,000
Calculation of impact of net operating income:
The following formula should be used:
= Contribution margin lost + fixed cost savings
= -$58,000 + $74,000
= $16,000
Since fruit product contributed $58,000 so here we eliminated it due to this it has a loss of $58,000 for the orange company
Therefore we can conclude that that the business decision increase the operating income by $16,000
Learn more about the: operating income here: brainly.com/question/13872434
Solstice Company determines on October 1 that it cannot collect $65,000 of its accounts receivable from its customer, P. Moore. Apply the direct write-off method to record this loss as of October 1.
Required:
Record the write off an account.
Answer:
Dr Bad Debt Expense $65,000
Cr Accoutn Receivable $65,000
Explanation:
Preparation of the journal entry to Record the write off an account.
Based on the information given the appropriate journal entry to Record the write off an account be is :
Dr Bad Debt Expense $65,000
Cr Accoutn Receivable $65,000
(To Record write off an account)
How is a monopolistically competitive market similar to a perfectly competitive market? A. Producers with market power set their own prices. B. Both have differentiated products with close substitutes. C. There are no restrictions on the entry of new firms. D. Both have homogeneous products with no close substitutes. Which of the following common features do monopolistically competitive markets and monopolies share? A. Barriers restrict new firms from entering. B. Consumers with market power set prices. C. Firms face downward-sloping demand curves. D. Producers with no market power set their own prices.
Answer:
c
c
Explanation:
A perfect competition is characterized by many buyers and sellers of homogenous goods and services. Market prices are set by the forces of demand and supply. There are no barriers to entry or exit of firms into the industry.
In the long run, firms earn zero economic profit. If in the short run firms are earning economic profit, in the long run firms would enter into the industry. This would drive economic profit to zero.
Also, if in the short run, firms are earning economic loss, in the long run, firms would exit the industry until economic profit falls to zero.
A monopolistic competition is when there are many firms selling differentiated products in an industry. A monopolistic competition has characteristics of both a monopoly and a perfect competition. the demand curve is downward sloping. it sets the price for its goods and services.
An example of monopolistic competition are restaurants
When firms are earning positive economic profit, in the long run, firms enter into the industry. This drives economic profit to zero
If firms are earning negative economic profit, in the long run, firms leave the industry. This drives economic profit to zero
in the long run, only normal profit is earned
A monopoly is when there is only one firm operating in an industry. there are usually high barriers to entry of firms. the demand curve is downward sloping. it sets the price for its goods and services.
An example of a monopoly is a utility company
The fastener division of Southern Fasteners manufactures zippers and then sells them to customers for $8 per unit. Its variable cost is $3 per unit, and its fixed cost per unit is $1.50. Management would like the fastener division to transfer 12,000 of these zippers to another division within the company at a price of $3. The fastener division could avoid $0.20 per zipper of variable packaging costs by selling internally.
Determine the minimum transfer price:
(a) Assuming the fastener division is not operating at full capacity, and
(b) Assuming the fastener division is operating at full capacity.
Answer:
a. $2.80b. $7.80Explanation:
a. Assuming the fastener division is not operating at full capacity
When the division is not operating at full capacity, they have space to take on the production requests for other divisions and so won't incur any opportunity costs from not producing for outside customers.
Minimum transfer price = Net Variable cost
= Variable cost - cost saving if sold internally
= 3 - 0.2
= $2.80
b. Assuming the fastener division is operating at full capacity.
At full capacity the division does not have space to produce for internal divisions without incurring losses from not selling outside. The transfer price will therefore be the selling price to customers less the variable cost savings:
= Selling price - variable cost savings
= 8 - 0.2
= $7.80
Ultimo Co. operates three production departments as profit centers. The following information is available for its most recent year. Which department has the greatest departmental contribution to overhead (in dollars) and what is the amount contributed
Answer: Department 3 had the greatest contribution to overhead of $362,000
Explanation:
Contribution to overhead = Sales - Cost of Goods sold - Direct expense
Department 1:
= 1,140,000 - 714,000 - 114,000
= $312,000
Department 2:
= 540,000 - 164,000 - 54,000
= $322,000
Department 3:
= 840,000 - 314,000 - 164,000
= $362,000
Townsend Industries Inc. manufactures recreational vehicles. Townsend uses a job order cost system. The time tickets from November jobs are summarized as follows:
Job 201 $4,850
Job 202 2,420
Job 203 1,910
Job 204 3,570
Factory supervision 1,660
Factory overhead is applied to jobs on the basis of a predetermined overhead rate of $28 per direct labor hour. The direct labor rate is $17 per hour. If required, round final answers to the nearest dollar.
a. Journalize the entry to record the factory labor costs.
b. Journalize the entry to apply factory overhead to production for November.
Answer and Explanation:
The journal entry is given below:
a. Work in process ($4,850 + $2,420 + $1,910 + $3,570) $12,750
Factory overhead $1,660
To wages payable $14,410
(being the factory labor cost is recorded)
b. Work in process Dr ($12,750 ÷ $17 × $28) $21,000
To factory overhead $21,000
(being the factory overhead is applied)
These two entries should be recorded for an individual parts
Which of the following The holding-period return (HPR) on a share of stock is equal to(s) the level of real interest rates? I) The supply of savings by households and business firms II) The demand for investment funds III) The government's net supply and/or demand for funds
Answer: D. I, II, and III.
Explanation:
The demand for investment funds determines the demand for loanable funds and when this is higher than the supply, the rate increases. The reverse it true. It therefore affects real interest rates.
The savings of households and business firms are the source of loanable funds so if these are high relative to demand, the rate will decrease. The reverse is true.
Government demand for funds will increase interest rates as the supply will decrease when the government borrows massively. The reverse is true.
All three therefore impart real interest rates.
PET Co. owns 80% of the common shares of SAL Corp. PET has no other investments. Goodwill associated with the investment is nil, but there is a fair value increment of $62,500 relating to SAL's patent that is being amortized over 10 years. PET's and SAL's reported net income for 20X5 is as follows: PET Co. SAL Corp. Net income $200,000 $50,000 SAL declared $25,000 in dividends in 20X5. Assuming PET uses the cost method, what amount of consolidated net income attributable to the parent (ATP) would be reported in 20X5?
a) $210,000
b) $215,000
c) $223,750
d) $235,000
You plan to deposit $1,800 per year for 5 years into a money market account with an annual return of 3%. You plan to make your first deposit one year from today.
Required:
a. What amount will be in your account at the end of 6 years?
b. Assume that your first withdrawal will be made the day you retire. Under this assumption, what amount do you now need in your retirement account the day you retire?
Answer:
1-a. The amount that will be in your account at the end of 6 years is $11,643.14.
1-b. The amount that will be in your account at the end of 6 years is $11,992.43.
2-a. The amount you need in your retirement account the day you retire is $590,938.17.
2-b. The amount you need in your retirement account the day you retire is $679,578.89.
Explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
1. You plan to deposit $1,800 per year for 6 years into a money market account with an annual return of 3%. You plan to make your first deposit one year from today.
a. What amount will be in your account at the end of 6 years? Round your answer to the nearest cent. Do not round intermediate calculations.
b. Assume that your deposits will begin today. What amount will be in your account after 6 years? Round your answer to the nearest cent. Do not round intermediate calculations.
2. You and your wife are making plans for retirement. You plan on living 30 years after you retire and would like to have $90,000 annually on which to live. Your first withdrawal will be made one year after you retire and you anticipate that your retirement account will earn 15% annually.
a. What amount do you need in your retirement account the day you retire? Round your answer to the nearest cent. Do not round intermediate calculations.
b. Assume that your first withdrawal will be made the day you retire. Under this assumption, what amount do you now need in your retirement account the day you retire? Round your answer to the nearest cent. Do not round intermediate calculations.
The explanation of the answers is now provided as follows:
1-a. What amount will be in your account at the end of 6 years? Round your answer to the nearest cent. Do not round intermediate calculations.
Since you plan to make your first deposit one year from today, this can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = D * (((1 + r)^n - 1) / r) ................................. (1)
Where,
FV = Future value or the amount that will be in your account at the end of 6 years = ?
D = Annual deposit = $1,800
r = Annual return rate = 3%, or 0.03
n = number of periods = 6
Substituting the values into equation (1), we have:
FV = $1,800 * (((1 + 0.03)^6 - 1) / 0.03) = $11,643.14
Therefore, the amount that will be in your account at the end of 6 years is $11,643.14.
1-b. Assume that your deposits will begin today. What amount will be in your account after 6 years? Round your answer to the nearest cent. Do not round intermediate calculations.
Since it is assumed that your deposits will begin today, this can be calculated using the formula for calculating the Future Value (FV) of an Annuity Due as follows:
FV = M * (((1 + r)^n - 1) / r) * (1 + r) ................................. (2)
Where,
FV = Future value or the amount that will be in your account at the end of 6 years = ?
D = Annual deposit = $1,800
r = Annual return rate = 3%, or 0.03
n = number of years = 6
Substituting the values into equation (2), we have:
FV = $1,800 * (((1 + 0.03)^6 - 1) / 0.03) * (1 + 0.03) = $11,992.43
Therefore, the amount that will be in your account at the end of 6 years is $11,992.43.
2-a. What amount do you need in your retirement account the day you retire? Round your answer to the nearest cent. Do not round intermediate calculations.
Since your first withdrawal will be made one year after you retire, this can be calculated using the formula for calculating the present value of an ordinary annuity as follows:
PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (3)
Where:
PV = Present value or the amount you need in your retirement account the day you retire = ?
P = Annual withdrawal = $90,000
r = Annual return rate = 15%, or 0.15
n = number of years = 30
Substituting the values into equation (3), we have:
PV = $90,000 * ((1 - (1 / (1 + 0.15))^30) / 0.15) = $590,938.17
Therefore, the amount you need in your retirement account the day you retire is $590,938.17.
2-b. Assume that your first withdrawal will be made the day you retire. Under this assumption, what amount do you now need in your retirement account the day you retire? Round your answer to the nearest cent. Do not round intermediate calculations.
Since it is assumed that that your first withdrawal will be made the day you retire, this can be determined using the formula for calculating the present value of an annuity due as follows:
PV = P * ((1 - (1 / (1 + r))^n) / r) * (1 + r) …………………………………. (4)
Where:
PV = Present value or the amount you need in your retirement account the day you retire = ?
P = Annual withdrawal = $90,000
r = Annual return rate = 15%, or 0.15
n = number of years = 30
Substituting the values into equation (4), we have:
PV = $90,000 * ((1 - (1 / (1 + 0.15))^30) / 0.15) (1 + 0.15) = $679,578.89
Therefore, the amount you need in your retirement account the day you retire is $679,578.89.
Southwestern Bank offers to lend you $50,000 at a nominal rate of 6.9%, compounded monthly. The loan (principal plus interest) must be repaid at the end of the year. Woodburn Bank also offers to lend you the $50,000, but it will charge an annual rate of 9.0%, with no interest due until the end of the year. How much higher or lower is the effective annual rate charged by Woodburn versus the rate charged by Southwestern?
a. 1.68%
b. 1.98%
c. 2.08%
d. 1.78%
e. 1.88%
Answer:
e. 1.88%
Explanation:
EAR = (1+APR/m)^m. M means compounding periods
For Southwestern Bank
EAR = (1 + 0.069/12)^12 - 1
EAR = 1.00575^12 - 1
EAR = 1.0712245 - 1
EAR = 0.0712245
EAR = 7.12%
So, the difference between the effective annual rate charged by Woodburn versus the rate charged by Southwestern is 1.88% (9% - 7.12%)
503,000 on November 1, 2021, and signed a 12-month note bearing interest at 8%. Interest is payable in full at maturity on October 31, 2022. In connection with this note, Universal Travel Inc. should report interest payable at December 31, 2021, in the amount of
Answer:
$6,707
Explanation:
Calculation to determine what Universal Travel Inc. should report interest payable at December 31, 2021,
Interest payable at Dec 31,2021= 503,000 * 8% * 2 months/12 months
Interest payable at Dec 31,2021= $6706.6
Interest payable at Dec 31,2021= $6707 Approximately)
(November 1 - December 31 = 2 months)
Therefore Universal Travel Inc. should report interest payable at December 31, 2021, in the amount of $6,707
