Answer:
INCREASE
Explanation:
Reducing discount rate and required reserve ratio are examples of expansionary monetary policies
Expansionary monetary policy : these are polices taken in order to increase money supply. When money supply increases, aggregate demand increases. reducing interest rate and open market purchase are ways of carrying out expansionary monetary policy
When the required reserve is reduced, the amount of loans that a bank can give increases and this increases money supply.
If discount rate is reduced, it becomes cheaper for commercial banks to borrow money. this increases money supply
Brockton Corporation, which allocates manufacturing overhead on the basis of machine-hours, has provided the following data for its most recent year of operations.
Actual manufacturing overhead costs incurred $35,000
Manufacturing overhead allocated to jobs 33,800
Underallocated or overallocated Manufacturing overhead ?
Required:
Calculate the manufacturing overhead and indicate if the remainder is underallocated or overallocated for the year.
Answer:
Underapplied overhead= $1,200
Explanation:
Giving the following information:
Actual manufacturing overhead costs incurred $35,000
Manufacturing overhead allocated to jobs 33,800
To calculate the under/over allocation, we need to use the following formula:
Under/over applied overhead= real overhead - allocated overhead
Under/over applied overhead= 35,000 - 33,800
Underapplied overhead= $1,200
Transactions that affect earnings do not necessarily affect cash. Identify the effect, if any, that each of the following transactions would have upon cash and net income.
(a) Purchased $100 of supplies for cash.
(b) Recorded an adjusting entry to record use of $20 of the above supplies.
(c) Made sales of $1,200, all on account.
(d) Received $800 from customers in payment of their accounts.
(e) Purchased equipment for cash, $2,500.
Answer:
(a) Cash reduction, no effect on net income
(b) Net income reduction, no effect on cash
(c) Net income increment, no effect on cash
(d) Cash increase, no effect on net income
(e) Cash reduction, no effect on net income
Explanation:
When items or services are exchanged for cash, these may be recognized as assets or expenses. While expenses reduce income, assets do not as it forms the exchange of one asset (cash) for another.
Considering the transactions in light of the above,
a) Purchased $100 of supplies for cash - Supplies are inventory (an asset) and would not reduce net income until it is used up
(b) Recorded an adjusting entry to record use of $20 of the above supplies. No effect on cash, entry is a reduction in supplies and recognition of cost of goods sold. As such net income reduces.
(c) Made sales of $1,200, all on account. - Sales on account are credit sales. This will be recognized as a credit to sales (increase in net income) and a debit to accounts receivable.
(d) Received $800 from customers in payment of their accounts. - To recognize this, we debit cash (increase in cash) and debit accounts receivable. This has no effect on net income.
(e) Purchased equipment for cash, $2,500 - Again, this is he exchange of cash for an asset. This has no effect on income.
Value a Constant Growth Stock Financial analysts forecast Best Buy Company (BBY) growth for the future to be 14.00 percent. Their recent dividend was $1.19. What is the value of their stock when the required rate of return is 15.43 percent
Answer:
$94.87
Explanation:
Value of stock = Dividend * (1 + Growth rate) / (Required rate - Growth rate)
Value of stock = $1.19 * (1 + 0.14) / (0.1543 - 0.14)
Value of stock = $1.19 * 1.14 / 0.0143
Value of stock = $1.3566 / 0.0143
Value of stock = 94.8671329
Value of stock = $94.87
Activity-based costing is preferable in a system:
a. when multiple products have similar product volumes and costs
b. with a large direct labor cost as a percentage of the total product cost
c. with multiple, diverse products
d. where management needs to support an increase in sales price
Answer:
c. with multiple, diverse products
Explanation:
Activity based costing is a method that is used to share overhead and indirect costs among various products and services offered by a company.
So products that are produced in larger volume will receive more cost allocation.
The cost driver rate is used in this allocation and is calculated by dividing total pool cost by the cost driver.
So cost is allocated based on units of goods produced.
Examples of indirect cost shared are salaries and utilities.
Activity based costing is best for multiple diverse products. So that cost can effectively be allocated based on the amount of activity attributed to a particular product.
XYZ Corporation manufactures two models of office chairs, a standard and a deluxe model. The overhead costs for setups and components pools are $60,000 and $58,900, respectively. The following activity has been compiled:
Number of Number of Number of
Setups Components Direct Labor Hours
Standard 11 6 295
Deluxe 29 13 205
Overhead costs $63,600 $102.600
Number of setups and number of components are identified as activity-cost drivers for overhead. Assuming an activity based costing system is used, what is the total amount of overhead costs assigned to the standard model?
A. $109,200
B. $57,000
C. $83,000
D. $83,100
Answer:
$49,890
Explanation:
The computation of the total amount of overhead costs assigned to the standard model is given below
The cost driver rate is
For setup
= $63,600 ÷ (11 + 29)
= 1,590
For component
= $102,600 ÷ (6 + 13)
= 5,400
Now the total amount of overhead for the standard model is
= 11 × 1,590 + 6 × 5,400
= $17,490 + $32,400
= $49,890
This is the answer but the same is not provided in the given options
The cost of a parcel of land is 50 cents per square foot. Candace wants to purchase one acre. How much will this cost?
1 acre = 43,560 square feet.
Multiply square feet by cost per square feet
43,560 x 0.50 = $21,780
Total cost: $21,780
The latest video game comes out and costs $60. You put it on your credit card and can’t afford to pay the whole bill all at once, so you make the minimum payment each month. How much is that minimum payment?
The minimum payment each month is 15%. The minimum payment is the least amount of money you must pay each month to maintain the status of your account.
What is minimum payment?The total balance on your account for that billing cycle is represented by the statement balance. The sum of your most recent bill plus any recent charges constitutes your current balance.
Although experts advise paying the statement balance in full each month, there are occasions when it might not be possible. In those circumstances, it's crucial to pay at least the required minimum in order to keep your account current and avoid late penalties and penalty APRs.
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Materials costs of $720000 and conversion costs of $800800 were charged to a processing department in the month of September. All materials are added at the beginning of the process, while conversion costs are incurred uniformly throughout the process. There were no units in beginning work in process, 120000 units were started into production in September, and there were 8000 units in ending work in process that were 30% complete at the end of September. What was the total amount of manufacturing costs assigned to those units that were completed and transferred out of the process in September
Answer:
The total amount of manufacturing costs assigned to those units that were completed and transferred out of the process in September is:
= $1,456,000.
Explanation:
a) Data and Calculations:
Units Materials Conversion Total
Incurred during September $720,000 $800,800 $1,520,800
Equivalent units of production:
Units Materials Conversion
Started into production 120,000
Ending work in process 8,000 8,000 (100%) 2,400 (30%)
Completed and transferred out 112,000 112,000 (100%) 112,000 (100%)
Equivalent units 120,000 114,400
Total cost of production $720,000 $800,800
Equivalent units 120,000 114,400
Cost per equivalent units $6 $7
Cost assigned to:
Units completed and transferred out $672,000 $784,000 $1,456,000
Ending work in process 48,000 16,800 64,800
Total cost assigned & accounted for $720,000 $800,800 $1,520,800
Nungesser Corporation has an EPS of $1.96, a cash flow per share of $3.15, and a price/cash flow ratio of 7.76×. What is its P/E ratio?
Answer:
12.47
Explanation:
Given :
Earning per share, EPS = $1.96
Cashflow per share = $3.15
Price / Cash flow ratio = 7.76
The P/E ratio = share price / Earning per share
The Share price is given by :
Cashflow per share * price to cash flow ratio
Share price = $3.15 * 7.76 = $24.444
Now ;
P/E ratio = Share price / Earning per share = $24.444 / $1.96
P/E ratio = 12.4714
P/E ratio = 12.47
Sal is very clear in defining for his subordinates the incentives available to them for different levels of performance. He makes sure they understand the path toward receiving incentives and follows through on rewarding them when they meet those goals. Sal exhibits the _______ theory of leadership.
Answer: d. path–goal
Explanation:
The Path-goal theory of leadership espouses that leaders should be dynamic and use whichever leadership style would be best suited to the abilities of their subordinates and the work environment that they are in.
It is then divided into four styles with the relevant style here being the "directive path-goal clarifying leader behavior". Under this style, the manager specifies exactly what it is that they want from the employees and then rewards them when they meet the required objectives.
The theory of leadership that Sal was exhibiting when he was defining some incentive that can make them perform well and explain the path to follow so as to receive the incentive when they achieve their goal is The path-goal theory.
The path-goal theory can be regarded as one that focus on leader's behavior which serves as contingent to the satisfaction that influence the motivation and performance of their employees. Good example us where Sal promise her employee about incentive once they achieve their goals.Therefore, The path-goal theory is correct.
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Clannad currently produces and sells 4,000 units per year, and has a capacity of 5,000 units. Enya, Inc. has offered a one-year contract to supply parts at a cost of $30.00/unit. If Clannad accepts, it will reduce fixed costs by 50% and will be able to rent unused space to another company for $18,000 per year. What is the impact on Clannad's profits if it accepts the offer.
Answer: Increase of $20,000
Explanation:
The cost of making a unit is:
= Direct material + Direct labor + Variable overhead + Fixed overhead
= 10 + 14 + 5 + 3
= $32
For 4,000 units that would be:
= 4,000 * 32
= $128,000
Cost of buying 4,000 units :
= Cost of buying + Fixed cost
= (4,000 * 30) + (3 / 2 * 4,000)
= $126,000
This cost is further reduced by the renting of the unused space:
= 126,000 - 18,000
= $108,000
Impact on profit:
= Cost of making - Cost of buying
= 128,000 - 108,000
= $20,000
Increase of $20,000
Adophus, Inc.'s 2010 income statement reported total revenues of $850,000 and total expenses (including $40,000 depreciation) of $720,000. The 2010 balance sheet reported the following: accounts receivable beginning balance of $50,000 and ending balance of $40,000; accounts payable beginning balance of $22,000 and ending balance of $28,000. Therefore, based only on this information and using the indirect method, the 2010 net cash inflow from operating activities was:
Answer:
Adolphus, Inc.
Therefore, based only on this information and using the indirect method, the 2010 net cash inflow from operating activities was:
= $186,000.
Explanation:
a) Data and Calculations:
Total revenues = $850,000
Total expenses 720,000
Operating income $130,000
Depreciation = 40,000
Beginning Ending Changes
Accounts receivable $50,000 $40,000 -$10,000
Accounts payable $22,000 $28,000 +$6,000
Operating activities section of the Statement of Cash Flows, 2010:
Net income $130,000
Non-cash expenses:
Depreciation 40,000
Changes in working capital:
Accounts receivable 10,000
Accounts payable 6,000
Net cash inflow = $186,000
Burt is strategizing and planning an IMC marketing campaign for the company where he is employed as marketing specialist. If he is to execute an effective IMC campaign, which aspects should he consider
Answer:
Incorporate the manufacturing process steps of the service into your planning and design process. A further explanation is provided below.
Explanation:
Burt would have had to take into account the possible throughout the development process of the marketing campaign when trying to execute an integrated Communication IMC program.An essential component of conducting a successful IMC campaign requires determining the phase including its project lifecycle.Thus the above is the right answer.
Operating Leverage Beck Inc. and Bryant Inc. have the following operating data: Beck Inc. Bryant Inc. Sales $1,250,000 $2,000,000 Variable costs (750,000) (1,250,000) Contribution margin $500,000 $750,000 Fixed costs (400,000) (450,000) Operating income $100,000 $300,000 a. Compute the operating leverage for Beck Inc. and Bryant Inc. If required, round to one decimal place. Beck Inc. fill in the blank 1 Bryant Inc. fill in the blank 2 b. How much would operating income increase for each company if the sales of each increased by 20%? Dollars Percentage Beck Inc. $fill in the blank 3 fill in the blank 4 % Bryant Inc. $fill in the blank 5 fill in the blank 6 % c. The difference in the of operating income is due to the
Answer:
1. Operating leverage = Contribution margin / Net income
Beck Inc.
Operating leverage = $500,000 / $100,000
Operating leverage = 5
Bryant Inc.
Operating leverage = $750,000 / $300,000
Operating leverage = 2.5
2. Income from operations increase = Increase in sales * Degree of operating leverage
Dollar increase = Net income * Percentage
Beck Inc.
Percentage = 5*20 = 100% (Income from operations increase)
Dollar increase = $100,000 * 100% = $100,000
Bryant Inc.
Percentage = 2.5*20 = 50% (Income from operations increase)
Dollar increase = $300,000 * 50% = $150,000
A construction manager just starting in private practice needs a van to carry crew and equipment. She can lease a used van for $3,510 per year, paid at the beginning of each year, in which case maintenance is provied. Alternatively, she can buy a used van for $5,185 and pay for maintenance herself. She expects to keep the van for three years at which time she could sell it for $1,330. What is the most she should pay for uniform annual maintenance to make it worthwhile to buy the van instead of leasing it, if her MARR is 20%
Answer:
$2,116
Explanation:
The computation is shown below:
Option 1 - Leasing
= 3510 + ( 3510 ÷ 1.2 ) + ( 3510 ÷ 1.2 ^ 2 )
= 8872.5
Now
Option 2 - Buying
Given that
Initial Cost - 5185
PV of salvage value = 1330 ÷ 1.2 ^ 3
= 769.68
So,
Cost = 5185 - 769.68
= 4457.176
Now the payment should be
= 4457.176 × 0.47473 (PV annuity factory for 20% at 3 years)
= $2,115.955
= $2,116
Question 2
A demand curve reflects each of the following except the
a. highest price buyers are willing to pay for each quantity.
b.quantity that each buyer will ultimately purchase.
c. value each buyer in the market places on the good.
d. willingness to pay of all buyers in the market.
Moving to another question will save this response.
Answer:
d. willingness to pay of all buyers in the market.
Explanation:
The demand curve shows the relationship between the price of a good or service and the quantity demanded at a particular time.
Therefore, a demand curve reflects:
a. highest price buyers are willing to pay for each quantity.
b.quantity that each buyer will ultimately purchase.
c. value each buyer in the market places on the good.
With this in mind, what the demand curve does not reflect, with these in mind is a willingness to pay of all buyers in the market.
Lisa is a homeowner looking to sell her house. She opts not to sign a listing agreement with a broker in order to save on the commission. However, she is still being assisted by her good friend Martha, who is a licensed FL broker. How would you characterize Martha's relationship with Lisa
Answer:
There is a no-brokerage relationship between Martha and Lisa since a listing agreement has not been signed and Martha is only offering assistance.
Explanation:
Brokerage relationship
This is commonly known as that tyoe of relationship that is usually contractual in nature and it exists between a client and a real estate licensee, the services of the broker has been engaged by the client for the purpose of getting a seller, buyer, tenant and willing to sell etc on client's behalf.
Authorized Brokerage Relationships
1. Single Agency
2. Transaction Broker
3. No Brokerage
4. Designated Sales Associate
No brokerage relationship
This is regarded as a form of a procedure or an arrangement where the broker does not represent either the buyer or the seller but the broker do works to help in the transaction process.
The duties of No brokerage relationship
The law states that a real estate broker working in a no brokerage relationship should always deal honest and fairly, and also disclose (open up) all known facts that materially affect the value of residential real property that are not readily seen or known to the buyer.
apricot corporation has 11000 shares of 11%, $110 par noncumulative preferred stock outstanding and 26000 shares of no par common stock outstanding. At the end of the current year, the corporation declares a dividend of
Managerial accounting systems report both monetary and nonmonetary information. Examples of nonmonetary information include: _________ a) employee diversity. b) percentage of on-time deliveries. c) employee satisfaction data. d) amount of sales per customer
Answer:
b) percentage of on-time deliveries.
Explanation:
Managerial accounting also known as cost accounting is an accounting technique focused on identification, measurement, analyzing, interpretation, and communication of financial information to managers for better decisions making and pursuit of the organization's goals.
Managerial accounting systems is an accounting system that is used by an organization to report both monetary and nonmonetary information. An example of a nonmonetary information is the percentage of on-time deliveries of the goods and services produced and supplied to consumers.
he company considers renovating its operations by purchasing a new machine that would reduce variable expenses by $7.20 per unit. However, fixed expenses would increase to a total of $544,320 each month. Using the new machine would not cause a change in monthly sales quantity or price per unit. What would the company's margin of safety in dollars be if it purchases and uses the new machine
Question Completion:
Morton Corporation
Income Statement for the most recent month
Sales revenue (42,000 units * $24 per unit) $1,008,000
Variable cost of goods sold 705,600
Contribution margin $302,400
Fixed expenses 241,920
Net operating income $60,480
Answer:
Morton Corporation
The company's margin of safety in dollars would be $100,800 if it purchases and uses the new machine.
Explanation:
a) Data and Calculations:
Morton Corporation
Income Statement for the most recent month
Sales revenue (42,000 units * $24 per unit) $1,008,000
Variable cost 705,600
Contribution margin $302,400
Fixed expenses 241,920
Net operating income $60,480
After the renovation of operations:
Variable cost of goods sold will reduce by $7.20 per unit
Variable cost per unit before renovation = $16.80 ($705,600/42,000)
New Variable cost per unit after renovation = $9.60 ($16.80 - $7.20)
New contribution margin per unit = $14.40 ($24 - $9.60)
Contribution margin ratio = 0.60 or 60%
New total fixed expenses = $544,320
Break-even point in sales dollars = Fixed expenses/Contribution margin ratio
= $544,320/0.60
= $907,200
Margin of safety = Sales revenue - Break-even Sales Dollars
= $100,800 ($1,008,000 - $907,200)
Assume the following macroeconomic variable ( in $ billion) for an economy: Y = national income = Aggregate Expenditures Aggregate Expenditures = Consumption + Investment + Government Spending + Net Export Assuming that the full employment level in $6,000 billion, determine the change in government spending needed to reach full employment. (Hint: calculate the current GDP, then calculate aggregate expenditures using national income of $6,000 and find the difference)
Answer:
440
Explanation:
Calculation to determine the change in government spending needed to reach full employment.
At Y=6000,
C=300+0.64Y
C=300+0.64*6000
C=300+3840
C=4140
Second step
Imports=0.08*Y=0.08*6000
Imports=480
Aggregate expenditure=4140+800+700+400-480
Aggregate expenditure=5560
Full employment G=6000-5560
Full employment G=440
New G=700+440
New G=1140
Y=300+0.64Y+800+1140+400-0.08Y
Y=2640+0.56Y
Y=2640/0.44
Y=6000
Therefore the change in government spending needed to reach full employment must Increase by 440.
Wayland Company has a standard of 5.0 hours of labor per unit, at $11.00 per hour. In producing 800 units, Wayland used 3,800 hours of labor at a total cost of $41,000. What is Wayland's labor price variance
Answer:
Direct labor rate variance= $798 favorable
Explanation:
To calculate the direct labor rate variance, we need to use the following formula:
Direct labor rate variance= (Standard Rate - Actual Rate)*Actual Quantity
Direct labor rate variance= (11 - 10.79)*3,800
Direct labor rate variance= $798 favorable
Actual rate= 41,000 / 3,800= $10.79
The journal entry for an installment note payment includes all except:__________.
a. a credit to Accounts Payable.
b. a credit to Cash.
c. a debit to Interest Expense.
d. a debit to Notes Payable.
Answer: a. a credit to Accounts Payable.
Explanation:
When paying off a note, cash will be used so cash will have to be credited to show that it is decreasing.
Interest expense will be debited by the interest accumulated on the loan because expenses are debited when they increase.
Notes Payable will be debited to show that the note has now been retired.
There is no credit for Accounts payable involved in this transaction.
Ashburn Corporation issued 25-year bonds two years ago at a coupon rate of 5.6 percent. The bonds make semiannual payments. If these bonds currently sell for 97 percent of par value, what is the YTM
Answer:
5.84%
Explanation:
years to maturity = 25 - 2 = 23
number of coupons left = 23 * 2 = 46
current price = $970
coupon = $28
We can use Excel and the IRR function to determine yield to maturity:
-970
28
28
28
28
28 IRR:
28 5.84%
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
1028
Athena Company's salaried employees earn two weeks of vacation per year. It pays $910,000 in total employee salaries for 52 weeks but its employees work only 50. Record Athena Company's weekly journal entry to record the vacation expense:
Answer:
If $910,000 is paid as employee salary for the year then the weekly salary is:
= 910,000 / 52
= $17,500
The cost of 2 vacation weeks is therefore:
= 17,500 * 2
= $35,000
There are 50 weeks to be worked so vacation expense needs to be apportioned to these weeks:
= 35,000 / 50
= $700
Weekly journal entry is:
Date Account Title Debit Credit
XX-XX-XXXX Vacation Benefits Expense $700
Vacation Benefits Payable $700
The Pension Trust Fund maintained by the city of Linden had the following transactions during 2019. Record each transaction in the Pension Trust Fund. Ignore any other funds that may be involved in a transaction.
a. Contributions of $600,000 were received from General Fund employees, and the General Fund contributed its share of $100,000.
b. The fund paid $500 for investment management fees.
c. Investments held by the fund increased in value by $3,500.
d. Depreciation on fund capital assets totaled $800.
e. Retirement benefits of $7,700 were paid to retirees.
f. Interest of $2,500 and dividends of $1,400 were received from investments
Answer:
Date Account Title Debit Credit
XX - 2019 Cash $700,000
Additional pension Contribution - $600,000
Employees
Additional pension Contribution - $600,000
Employer
Date Account Title Debit Credit
XX - 2019 Investment management fees $500
Cash $500
Date Account Title Debit Credit
XX - 2019 Investments $3,500
Net appreciation in investment fair value $3,500
Date Account Title Debit Credit
XX - 2019 Depreciation of fund capital assets $800
Accumulated depreciation of fund $800
capital assets
Date Account Title Debit Credit
XX - 2019 Retirement benefits $7,700
Cash $7,700
Date Account Title Debit Credit
XX - 2019 Cash $3,900
Interest on investments $2,500
Dividends $1,400
10 percent decrease in consumer incomes leads to a 20 percent decrease in the quantity demanded of good D. Instructions: Round your answer to one decimal place. If you are entering a negative number be sure to include a negative sign (-) in front of that number. The income elasticity of this good is: . This good can best be described as (Click to select) .
Answer:
Income elasticity = 2
Normal good
Explanation:
Below is the given values:
Percentage decrease in consumers income = 10%
Percentage decrease in quantity demanded = 20%
Use the below formula to find the income elasticity:
Income elasticity = % change in quantity demanded / % in income
Income elasticity = -20/-10
Income elasticity = 2
Since the elasticity is 2 that means good is normal good.
Common stockholders' equity as of 1/1/2017 $7,031,250 Common stockholders' equity as of 12/31/2017 $8,593,750 Net sales for the year 2017 $3,906,250 Net income for the year 2017 $250,000 Common stock dividends paid during 2017 $10,000 Calculate the company's Payout Ratio.
Answer:
the payout ratio is 4%
Explanation:
The computation of the payout ratio is shown below:
The payout ratio is
= Dividend ÷ net income
= $10,000 ÷ $250,000
= 4%
We simply divided the dividend from the net income so that the payout ratio could come
Hence, the payout ratio is 4%
Answer:
it is 4%
Explanation:
During 2021, Raines Umbrella Corporation had sales of $772,000. Cost of goods sold, administrative and selling expenses, and depreciation expenses were $465,000, $104,500, and $150,000, respectively. In addition, the company had an interest expense of $74,400 and a tax rate of 25 percent. (Ignore any tax loss carryforward provisions and assume interest expense is fully deductible). Suppose Raines Umbrella Corp. paid out $102,000 in cash dividends. Is this possible? If spending on net fixed assets and net working capital was zero, and if no new stock was issued during the year, what is the net new long-term debt?
Answer:
Paying out $102,000 in cash dividends is possible
Net new long-term debt $26,100
Explanation:
Calculation to determine the net new long-term debt
Sales $772,000
Less Cost of goods sold $465,000
Gross profit $307,000
($772,000-$465,000)
Administrative and selling expenses $104,500
Depreciation expenses $150,000
Earning before interest tax $52,500
($307,000-$104,500-$150,000)
Interest expense $74,400
Profit or Loss before tax ($21,900)
($52,500-$74,400)
Less Tax 25% $0
Add Depreciation expense $150,000
Net Cash flow $128,100
(-$21,900+$150,000)
Dividend $102,000
Net new long-term debt $26,100
($128,100-$102,000)
Therefore Based on the above calculation Paying out $102,000 in CASH DIVIDENDS is possible even though the Net income is Negative, its operating cash flow is $128,100 positive which means that the company has enough cash balance to pay dividends of $102,000. The Net new long-term debt is $26,100
When you were born, your dear old Aunt Minnie promised to deposit $1,000 into a savings account, bearing a 5% effective annual rate, on each birthday, beginning with your first. You have just turned 22 and want the dough. However, it turns out that dear old (forgetful) aunt Minnie made no deposits on your fifth and eleventh birthdays. How much is in the account right now?
Answer: $34,502.85
Explanation:
The constant deposits are considered annuities.
The value at the end of 22 years is the future value of the annuity.
Future value of annuity = Annuity * ( (1 + rate)^number of years - 1 ) / rate
= 1,000 * ( ( 1 + 5%) ²² - 1) / 5%
= $38,505.21
Then subtract the future values of the deposits that your grandmother missed.
For the fifth birthday, the future value term will be 22 - 5 = 17 years
For the eleventh, the future value term will be 22 - 11 = 11 years
The amount in the account is:
= 38,505.21 - (1,000 * 1.05¹⁷) + (1,000 * 1.05¹¹)
= $34,502.85
