Answer: $14,985
Explanation:
Using the Units-of-Production method means that the asset is depreciated based on how many times it is used.
The formula is;
= ( Cost - Salvage Value)/Total Usage
= (67,600 - 1,000) / 200
= $333 per concert
Equipment depreciates by $333 per concert.
First year has 45 concerts;
= 333 * 45
= $14,985
1. Do you think that punishments deter crime? Why or why not? Do you think there is a better way to reduce crime than punishment?
Explanation:
In my honest opinion i don not think punishment deter crime, but it does to a great extent reduce the rate of crime, if actually punishment deter crime, then there will not be offenders anymore.
Another possible way to reduce crime than punishment is to place a fine for offender to pay and also place offenders on community service, in this way offenders get to move freely in the society while they get to pay a huge sum for the offence they have committed
Answer:
I really believe that punishments reduce crime, if someone has done something wrong they have to be punished because, if not, how are they going to know that what they have done is wrong? So, in this way, some criminals stop committing crimes because they see that what they have done is not good and has consequences.
Punishment is known to be a bad stimulus to reduce crime; instead, education has been much more effective, because in this way criminals learn what they can do to improve their lives.
Explanation:
The employer amount of FICA taxes that Red Mountain is required to pay is equal to the amount that it withholds from its employees. Assume no other payroll taxes are incurred at this time. What is Red Mountain's total expense with regards to this payroll
Answer:
$189,000
Explanation:
The computation of total expense with regards to this payroll is shown below:-
Total expense = Salaries and wages earned by employees + Employer's portion of FICA taxes
= $180,000 + $9,000
= $189,000
Therefore for computing the total expenses with regards to this payroll we simply applied the above formula and we ignore all other values as they are not relevant.
Bogart Company is considering two alternatives. Alternative A will have revenues of $147,400 and costs of $103,400. Alternative B will have revenues of $188,200 and costs of $121,600. Compare Alternative A to Alternative B showing incremental revenues, costs, and net income.
Answer:
B is better than A
Explanation:
Here, we want to compare “A” to “B”. It means if B’s amount is higher than A’s amount, it should be positive; If B’s amount is lower than A’s amount, it should be negative.
Net income for each alternative = Revenues – Costs
Since the net income is positive, B is better than A.
Please check attachment for for actual tabular calculations
At July 31, Farmer Company has this bank information: cash balance per bank $8,344; outstanding checks $804; deposits in transit $1,383; and a bank service charge $58.
Determine the adjusted cash balance per bank at July 31.
The adjusted cash balance per bank at July 31:___________.
Answer:
The adjusted balance per bank is $8923
Explanation:
Adjusted cash balance per bank
Cash balance per bank (unadjusted) 8344
(+) Deposits in transit 1383
(-) Outstanding checks (804)
Cash balance per bank (adjusted) 8923
The adjusted cash balance per bank is calculated by adjusting the transactions that do not appear on the current bank statement.
The deposits in transit is the amount of cash deposited in the bank, that will increase the bank balance, which is still in process and has not been added to the bank account as of now. Thus, we will add this amount to calculate the adjusted bank balance.
The outstanding checks amount is the amount of checks that have been issued by the business but which are yet to be presented by the recipients of checks and will result in a reduction in the bank balance. Thus, we deduct them to calculate the adjusted balance.
The bank charge is deducted by the bank itself thus we assume that it has already been deducted. So, no adjustment is made for this.
Oriole Leasing Company leases a new machine to Sharrer Corporation. The machine has a cost of $65,000 and fair value of $87,000. Under the 3-year, non-cancelable contract, Sharrer will receive title to the machine at the end of the lease. The machine has a 3-year useful life and no residual value. The lease was signed on January 1, 2017. Oriole expects to earn an 8% return on its investment, and this implicit rate is known by Sharrer. The annual rentals are payable on each December 31, beginning December 31, 2017.
Prepare an amortization schedule that would be suitable for both the lessor and the lessee and that covers all the years involved. (For calculation purposes, use 5 decimal places as displayed in the factor table provided and round final answers to 0 decimal places e.g. 5,275.)
Date
Rent Receipt/ Payment
Interest Revenue/ Expense
Reduction of Principal
Receivable/ Liability
1/1/17 $
$
$
$
12/31/17
12/31/18
12/31/19
Prepare the journal entry at commencement of the lease for Oriole. (Credit account titles are automatically indented when amount is entered. Do not indent manually.)
Date
Account Titles and Explanation
Debit
Credit
1/1/17
Prepare the journal entry at commencement of the lease for Sharrer. (Credit account titles are automatically indented when amount is entered. Do not indent manually.)
Date
Account Titles and Explanation
Debit
Credit
1/1/17
Prepare the journal entry at commencement of the lease for Sharrer, assuming (1) Sharrer does not know Oriole’s implicit rate (Sharrer’s incremental borrowing rate is 9%), and (2) Sharrer incurs initial directs costs of $9,500. (Credit account titles are automatically indented when amount is entered. Do not indent manually. For calculation purposes, use 5 decimal places as displayed in the factor table provided and round final answers to 0 decimal places e.g. 5,275.)
Date
Account Titles and Explanation
Debit
Credit
1/1/17
Answer and Explanation:
1. The Preparation of amortization table is shown below:-
Date Rent payment Interest Reduction of Liability
revenue Principal
01.01.2017 $0 $0 $0 $87,000
31.12.2017 $33.759 $6,960 $26,799 $60201
(87,000 × 8%)
31.12.2018 $33.759 $4,816 $28,943 $31,258
(60,201 × 8%)
31.12.2022 $33,759 $2,501 $31,258 $0
(32,258 × 8%)
Working note
The computation of the yearly lease amount is shown below:-
Period Table value PV at 8%
1 0.92593
2 0.85734
3 0.79383
Total 2.57710
Lease rent $33.759
($87,000 ÷ 2.5771)
2. The Journal entry is shown below:-
Lease receivable Dr, $87,000
Cost of goods sold Dr, $65,000
To Sales $87,000
To Inventory $65,000
(Being lease commenced is recorded)
3. The Journal entry is shown below:-
ROU assets Dr, (right of use) $87,000
To lease liability $87,000
(Being ROU assets recognized is recorded)
4. ROU assets Dr, (right of use) $96,500
To lease liability $87,000
To Cash $9,500
(Being ROU assets recognized of direct costs is recorded)
Assume a budget constraint is given by 10 = x + y For each of the following utility function calculate the utility maximizing x and y and the resulting level of utility.
(a) U x/y
(b) U In(x) + In(y)
(c) U 2x2y
Answer:
A) y = 0 , x = 10
B) x = 5 = y
c) x = 6.667, y = 3.333
Explanation:
Budget constraint = x + y = 10
calculate the utility maximizing x and y and the resulting level of utility
attached is the detailed solution
Merchandise with a sales price of $5,000 is sold on account with terms 2/10, n/30. The journal entry to record the sale would include a
Answer:
Debit to sales discounts for $100
Explanation:
Please see journal entry to record the sales below;
a. Dr accounts receivable $5,00
To sales revenue account $5,000
(Being merchandise that is sold on credit basis)
Suppose payment is made within 10 days, the journal entry will be;
Dr Cash account $4,900
Sales discount account $100
(5,000 × 2%)
To accounts receivable $5,000
(Being cash that is received)
Exhibit 35-4 Refer to Exhibit 35-4. Under a fixed exchange rate system, at the exchange rate of E 3, the dollar is __________ and there is a __________.
Please find diagram for question attached
Question options:
a.
overvalued; surplus of dollars
b.
undervalued; shortage of pesos
c.
overvalued; shortage of dollars
d.
undervalued; surplus of pesos
Answer:
Overvalued and there is a shortage of dollars
Explanation:
An increase in dollar price to buy peso means that dollar here is overvalued as it is above the equilibrium price(E2),and therefore it would be expensive to buy goods that are sold for a certain amount of dollars or in dollar currency with the Mexican pesos. This is because the fixed exchange rate system tries to ensure smooth and inexpensive trade between countries as it has to do with currency trading barriers by pegging a currency to another(in this case dollars) but here the dollar price increase for peso makes it more expensive to buy dollar products with pesos. Also this is caused here by the shortage of dollars.
Assume Strands, a local hair salon, provides cuts, perms, and hairstyling services. Annual fixed costs are $150,000, and variable costs are 40 percent of sales revenue. Last year's revenues totaled $300,000.
(a) Determine its break-even point in sales dollar
(b) Determine last year's margin of safety in sales dollars.
(c) Determine the sales volume required for an annual profit of $80,000.
Round your answer to the nearest dollar.
Answer:
Instructions are below.
Explanation:
Giving the following information:
Annual fixed costs are $150,000, and variable costs are 40 percent of sales revenue. Last year's revenues totaled $300,000.
To calculate the break-even point in dollars, we need to use the following formula:
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 150,000 / [(300,000*0.6)/300,000]
Break-even point (dollars)= $250,000
Now, we can determine the margin of safety:
Margin of safety= (current sales level - break-even point)
Margin of safety= 300,000 - 250,000= $50,000
Finally, the sales dollar required to reach $80,000 profit:
Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio
Break-even point (dollars)= (150,000 + 80,000) / 0.6
Break-even point (dollars)= $383,333.33
On January 1, 2014, Pert Company purchased 85% of the outstanding common stock of Sales Company for $350,000. On that date. Sales Company's stockholders' equity consisted of common stock, $100,000; other contributed capital, $40,000; and retained earnings, $140,000. Pert Company paid more than the book value of net assets acquired because the recorded cost of Sales Company's land was significantly less than its fair value.
During 2014 Sales Company earned $148,000 and declared and paid a $50,000 dividend. Pert Company used the partial equity method to record its investment in Sales Company.
Required:
1. Prepare the investment-related entries on Pert Company's books for 2014.
2. Prepare the working paper eliminating entries for a working paper on December 31, 2014.
Answer and Explanation:
The journal entries are shown below:
a. For investment related entries
Investment in sales Dr $350,000
To cash $350,000
(being the investment is recorded)
Investment in sales Dr ($148,000 × 85%) $125,800
To Subsidiary income $125,800
(Being the investment in sales is recorded)
Cash Dr $42,500
To Dividend income $42,500
(Being the dividend income is recorded)
b. For work paper eliminating entries
Equity income ($148,000 × 85%) $125,800
To Dividend $42,500
To investment in sales $83,300
(Being the equity income is recorded)
Common stock Dr $100,000
Other contributed capital Dr $40,000
Retained earnings Dr $140,000
Difference between implied and book value Dr $131,765 (Bal figure)
To Investment in S Company $350,000
To Non controlling interest $61,765 ($350,000 ÷ 0.85 × 0.15)
(Being the consolidated items are recorded)
Land Dr $131,765
To Difference between implied and book value Dr $131,765
(Being the land is recorded)
Working note:
Particulars Parent share Non-conrolling interest Total value
Purchase price
& implied value $350,000 $61,765 $411,765
Less:
Book value -$238,000 -$42,000 -$280,000
Difference
amount $112,000 $19,765 $131,765
Less:
Land value -$112,000 -$19,765 -$131,765
Balance $0 $0 $0
You are scheduled to receive $35,000 in two years. When you receive it, you will invest it for 6 more years at 7 percent per year. How much will you have in 8 years?
Answer:
$52,526
Explanation:
In two years i have $35,000.
the amount invested thus the Principle amount is $35,000
Pv = $35,000
r = 7 %
PMT = $0
n = 6
Fv = ?
Note that The 8 th year is the sixth year of this investment.
FV = PV × (1 + r) n
= $35,000 × ( 1 + 0.07) 6
= $52,525.56
= $52,526
To reduce product development time, Caterpillar connected its engineering and manufacturing divisions with its active suppliers, distributors, overseas factories, and customers, through ________.
Answer: an extranet
Explanation:
An extranet is a private network that is controlled that gives access to vendors, suppliers, partners, vendors or a group of customers that are authorized.
Therefore, to reduce product development time, Caterpillar connected its engineering and manufacturing divisions with its active suppliers, distributors, overseas factories, and customers, through an extranet.
A selection model in which an applicant moves on to the next stage in the process on the condition that she or he satisfies a score criterion on previous parts of the process is referred to as a _____ model. Group of answer choices
Answer:
multiple hurdle
Explanation:
The term is described in the question is known as a multiple hurdle model. In this specific approach, the individual applying needs to pass each step in the selection process in order to continue to the next one. Failure at any of the steps results in an automatic disqualification of the applicant from further consideration. Each step needs to be passed by meeting the minimum score that has been pre-set before starting the step.
Say you own an asset that had a total return last year of 12 percent. If the inflation rate last year was 5 percent, what was your real return?
Answer:
Real rate of return= 0.07 = 7%
Explanation:
Giving the following information:
Say you own an asset that had a total return last year of 12 percent. The inflation rate last year was 5 percent.
The effect of the inflation rate is counterproductive to the rate of return. It diminishes purchasing power.
Real rate of return= nominal interest rate - inflation rate
Real rate of return= 0.12 - 0.05
Real rate of return= 0.07 = 7%
Fuji film was also able to succeed in the US due to their history of catering to a sophisticated Japanese photo market in their native market. Which aspect of the diamond of national competitive advantage does this draw from
Answer:
Option B. Demand conditions
Explanation:
The demand conditioning is the domestic demand of the product that forms greater impact on the demand and innovation of the product in its domestic market. This great domestic demand of Fuji film products stipulated greater innovation which not only differentiated the product but also increased the demand in other markets like US and Europe.
This increased Demand conditions enabled the company to gain competitive advantage.
g The aggregate supply curve shifts A. rightward if the money wage rate falls. B. leftward if the aggregate demand curve shifts leftward. C. rightward if potential GDP decreases. D. leftward if potential GDP increases. E. rightward if the money wage rate rises.
Answer:
The correct option to the question above is option A "rightward if the money wage rate falls."
Explanation:
The aggregate supply curve is a graphical illustration of how the total quantity of goods and services is available for a given price and time.
When the aggregate supply curve shifts to the right, it increases. While, when the aggregate supply curve shifts to the left, it decreases.
An increase in the aggregate supply curve shows a fall in price, which makes a high price level resulting in a greater supply of real GDP.
Money wages is the amount of money paid in wages. Money wages is indirectly proportional to real wages. The aggregate supply curve decreases if the money wage rate increases and the aggregate supply curve increases when the money wage rate falls.
Aggregate supply is affected by GDP. When A GDP decreases, it also decreases aggregate supply.
True or False: Firms operating in more price-competitive industries, or exhibiting lower levels of market power, generally exhibit lower levels of business risk, all other things being equal. This statement is: True False
Answer:
The statement is false
Explanation:
Determining the profitability depends on market power. At a higher market power, the level of profitability will be high.
Conversely, a company operating in a system where its market power is low which results into inability to compete with other companies will cause a low probability.
Galvatron Metals has a bond outstanding with a coupon rate of 6.1 percent and semiannual payments. The bond currently sells for $947 and matures in 23 years. The par value is $1,000 and the company's tax rate is 40 percent. What is the company's aftertax cost of debt
A company earned $7,605 in net income for October. Its net sales for October were $19,500. Its profit margin is:
Answer: 39%
Explanation:
From the question, we are informed that company earned $7,605 in net income for October and that its net sales for October were $19,500.
To calculate its profit margin, we have to divide the net income by the net sales. This will be:
= 7605/19500
= 0.39
= 39%
The Destin Company has one temporary difference of $160 caused by accelerated tax depreciation on 12/31/14. The difference will reverse evenly over the next four years. Tax Rates are 20% in 2014, 30% in 2015, and 40% in 2016 and beyond. Pretax book income in 2014 is $1,000. What is 2014 Income Tax Expense?
Answer: = $168
Explanation:
Destin Company had a $1,000 income in 2014 but also a temporary difference of $160.
This means that they were taxed on the income less the temporary difference.
= 1,000 - 160
= $840
Tax Expense = 840 * 20%
= $168
Clarissa wants to fund a growing perpetuity that will pay $ 9 comma 000 per year to a local museum, starting next year. She wants the annual amount paid to the museum to grow by 6% per year. Given that the interest rate is 9%, how much does she need to fund this perpetuity?
Answer:
$300,000.00
Explanation:
The present value of a growing perpetuity can be computed using the below present value formula specifically meant for growing annuity:
Present value=cash flow/interest rate-growth rate
cash flow is the initial amount per year which is $9000
interest rate is 9%
growth rate of the annuity payment is 6%
present value=$9000/(9%-6%)=$300,000.00
Matthew owns 30 percent of the outstanding stock of Lindman and has the ability to significantly influence the investee's operations and decision making. On January 1, 2015, the balance in the Investment in Lindman account is $335,000. Amortization associated with this acquisition is 9,000 per year. In 2015, Lindman earns an income of $90,000 and declares cash dividends of $30,000. Previously, in 2014, Lindman had sold inventory costing $24,000 to Matthew for $40,000. Matthew consumed all but 25 percent of this merchandise during 2014 and used the rest during 2015. Lindman sold additional inventory costing $28,000 to Matthew for $50,000 in 2015. Matthew did not consume 40 percent of these 2015 purchases from Lindman until 2016.
Required:
a. What amount of equity method income would Matthew recognize in 2015 from its ownership interest in Lindman?
b. What is the equity method balance in the Investment in Lindman account at the end of 2015?
Answer:
Matthew and Lindman
a. Equity method Income for 2015:
Add 30% share of Lindman Income ($90,000 x 30%) = $27,000
Less share in unrealized profit in Inventory -2,640
Less share in cash dividends ($30,000 x 30%) -9,000
Less Amortization of cost of acquisition -9,000
Net Income from Investment in Lindman $6,360
b. Equity method balance in the Investment in Lindman account at the end of 2015:
Balance in Investment in Lindman account = $341,360
Explanation:
a) Data and Calculations:
Matthew owns 30% percent in Lindman with significant influence
Accounting of ownership interest: Equity Method
1/1/2015 Balance in the Investment in Lindman account = $335,000
Add 30% share of Lindman Income ($90,000 x 30%) = 27,000
Less share in unrealized profit in Inventory -2,640
Less share in cash dividends ($30,000 x 30%) -9,000
Less Amortization of cost of acquisition -9,000
Balance in Investment $341,360
b) Unrealized profit in Inventory:
Profit in Inventory = $22,000 ($50,000 - 28,000)
Less Realized profit 13,200 ($22,000 x 60%)
Unrealized profit 8,800 ($22,000 x 40%)
Share of Unrealized profit $2,640 ($8,800 x 30%)
c) Matthew uses the equity method for accounting for its 30% acquisition of the outstanding stock of Lindman because it is within the 20% to 50% band for accounting for investment in a subsidiary with the method. Secondly, Matthew has significant influence in Lindman's operations and decision making, making it additionally qualified for the equity method.
With this method, Matthew takes into account its 30% share in the Net Income of Lindman and adjusts this with its share of any unrealized profit (loss) in inventory arising from intercompany transactions. Since Lindman has declared a cash dividend of $30,000, Matthew's share from the dividend is subtracted from the share in net income of Lindman. The amortization cost associated with the acquisition of 30% share in Lindman is also subtracted to arrive at the net income due to Matthew, which increases its equity balance.
One of your employees mentions to you that there is an active grapevine in your organization. Which of the following assumptions can you accurately make about how to manage the grapevine in this situation? can be 2 or more answers.
a. there are likely to be very few people who have access to the grapevine, and those people are usually chronically unhappy. Avoid interacting with them if possible.
b. employees are likely to have heard something from the grapevine before they talk with you about an issue.
c. develop a relationship with the person at the center of the grapevine so you can quickly spread and receive information throughout the organization
d. paying attention to what is said on the grapevine will give you a good serve of what employees are really thinking and feeling about the company.
Answer:
c. develop a relationship with the person at the center of the grapevine so you can quickly spread and receive information throughout the organization
d. paying attention to what is said on the grapevine will give you a good serve of what employees are really thinking and feeling about the company.
Explanation:
Grape wine is a rumor and informal channel of communication that spread throughout the organization in all directions irrespective of the authorities and develops due to various reasons. In order to manage this grape wine within the organization, the leaders may need o to defend the boundaries of grapevines and avoid the spread of rumors.The assumptions that can help you to manage the grapevine are:
develop a relationship with the person at the center of the grapevine so you can quickly spread and receive information throughout the organization paying attention to what is said on the grapevine will give you a good serve of what employees are really thinking and feeling about the company.The answers to this question can be gotten in options c and d. The concept of grapevine is the fact that communications are being passed around in the organization that are based on hearsay.
These are overhead conversations. It is an unofficial means of communicating in the work place.
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Kingsbury Manufacturing has net sales revenue of $850,000, cost of goods sold of $344,600, and all other expenses of $328,300. The gross profit percentage is closest to:
Answer:
56.46%
Explanation:
The computation of the gross profit percentage is shown below
Gross profit percentage is
= (Sales - cost of goods sold) ÷ (Sales) × 100
where,
Sales is $850,000
And, the cost of goods sold is $344,600
Now placing these values to the above formula
So, the gross profit percentage is
= ($850,000 - $344,600) ÷ ($850,000) × 100
= $505,400 ÷ $850,000 × 100
= 56.46%
A(n) _____ gives managers access to large amounts of data and the processing power to convert the data into high-quality information quickly and efficiently.
Answer:
decision support system.
Explanation:
A decision support system can be defined as a technological program used by organizations to assist in decision making.
This system works by analyzing essential data for decision making, such as sales reports, revenues, operations and projections, and after the analysis, it gathers the most important information, which will help a manager to find relevant standards and make an important decision of more quickly and effectively.
This system guarantees the analysis of a high volume of information and synthesizes it in a flexible and easy way, allowing the analysis of data from graphs, for example, which facilitates decision making. Because it is an intelligent computer system, it can be developed to deliver better performance and assist in organizational decision making.
The purchase price of a natural gas-fired commercial boiler (capacity X) was $181,000 eight years ago. Another boiler of the same basic design, except with capacity 1.42X, is currently being considered for purchase. If it is purchased, some optional features presently costing $28,000 would be added for your application. If the cost index was 162 for this type of equipment when the capacity X boiler was purchased and is 221 now, and the applicable cost capacity factor is 0.8, what is your estimate of the purchase price for the new boiler
Answer:
$308,500.85
Explanation:
$181,000 eight years ago in real dollars was $181,000 / 162 = $111,728.40
new boiler with a 1.42X capacity x capacity factor = 1.42 x 0.8 = 1.136 (the price of the new boiler is 1.136 times the old boiler)
current price of the new boiler in real dollars = 1.136 x $111,728.40 = $126,923.46
real dollars converted to current nominal dollars = $126,923.46 x 2.21 = $280,500.85
price of the new boiler + additional optional features = $280,500.85 + $28,000 = $308,500.85
Poe Company is considering the purchase of new equipment costing $80,000. The projected net cash flows are $35,000 for the first two years and $30,000 for years three and four. The revenue is to be received at the end of each year. The machine has a useful life of 4 years and no salvage value. Poe requires a 10% return on its investments. The present value of $1 and present value of an annuity of $1 for different periods is presented below. Compute the net present value of the machine. 1 0.9091 0.9091 2 0.8264 1.7355 3 0.7514 2.4869 4 0.6830 3.1699
Answer:
$23,773.65
Explanation:
Net present value is the present value of after tax cash flows from an investment less the amount invested
NPV can be calculated using a financial calculator :
cash flow in year 0 = $-80,000.
Cash flow in year 1 and 2 = $35,000.
Cash flow in year 3 and 4 = $30,000.
I = 10%
NPV = $23,773.65
To find the NPV 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
Andy views beer and pizza as complements to one another. If the price of pizza decreases, economists would expect Andy's demand for ____________.
Answer:
Andy's demand for beer will increase.
Explanation:
Andy’s demand for beer will increase because it is given that pizza and beer are complements. Therefore, there is an inverse relationship between the price of one complement goods and the number of other complement goods. Here, we can see that price of one good ( say pizza) decreases so the demand for other goods (say beer) will increase because there is an inverse relationship between these commodities.
The constant growth valuation formula has dividends in the numerator. Dividends are divided by the difference between the required return and dividend growth rate as follows:
P0=D1/(rs−g)
If you were analyzing the consumer goods Industry, for which kind of company in the industry would the constant growth model work best?
a. Young companies with unpredictable earnings
b. Mature companies with relatively predictable earnings
c. All companies
Joe wants to start an SEP-IRA that will have $460,000 in it when he retires in 15 years. How much should he invest semiannually in his IRA to do this if the interest is 15% compounded semiannually?
Answer:
$4,448.77
Explanation:
time until retirement = 15 years x 2 semiannual contributions = 30 payments
interest rate =15% / 2 = 7.5%
future value = $460,000
we can use the future value of an annuity formula:
future value = payment x annuity factor
FV annuity factor 7.5%, 30 periods = 103.3994
payment = future value / annuity factor
payment = $460,000 / 103.3994 = $4,448.77
The amount that should be invested is $4,448.77.
Calculation of the amount:Since
time until retirement = 15 years x 2
= 30 payments
And,
interest rate =15% / 2 = 7.5%
Also,
future value = $460,000
Now we can use the future value of an annuity formula:
Here,
future value = payment x annuity factor
where,
FV annuity factor 7.5%, 30 periods = 103.3994
So,
payment = future value / annuity factor
= $460,000 / 103.3994
= $4,448.77
hence, The amount that should be invested is $4,448.77.
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