Answer:
The profit maximizing output for a monopolist is the output level where marginal cost is equal to marignal revenue.
Explanation:
Price Q Demanded Marginal Revenue Marginal Cost
$76 100 $76 $25
71 200 66 68
66 300 56 56
61 400 46 82
56 500 36 76
51 600 26 48
Arranging the information in the chart above, we can see that for a quantity demanded of 300 units, and a price of $66, marginal revenue and marginal cost are exactly the same, $56.
Thus, the profit-maximizing level of output is 300 units.
On January 1, Balanger Company buys 10 percent of the outstanding shares of its parent, Altgeld, Inc. Although the total book and fair values of Altgeld's net assets equaled $3.2 million, the price paid for these shares was $340,000. During the year, Altgeld reported $415,000 of separate operating income (no subsidiary income was included) and declared dividends of $35,000. How are the shares of the parent owned by the subsidiary reported at December 31
Answer: a. Consolidated stockholders’ equity is reduced by $340,000.
Explanation:
Consolidated stockholders' equity is the equity owned by stockholders in the entire parent company of Altgeld and its subsidiaries. Balanger as a company, then buys some of its parent's stock for $340,000.
The effect this will have is to reduce the stock available to stockholders in the parent and the subsidiaries almost like buying treasury shares. Consolidated stockholders' equity will therefore reduce by the amount paid for the shares of $340,000.
Peyton Trust, which is a simple trust, distributed $45,000 to its sole beneficiary, Brooke, in the current year. Further, it had the following items of income and expense for the current year.
Interest income from municipal bonds $10,000
Gross income from rental properties 30,000
Operating expenses for the rental properties 5,000
Trust fees allocable to the rental properties 2,000
What is Peyton's income distribution deduction for the current year?
a. $23,000
b. $33,000
c. $40,000
d. $45,000
Answer:
b. $33,000
Explanation:
In order to avoid double taxation, trust are allowed to deduct income distributed to its beneficiaries. In this case, the deduction is equal to the lowest of:
net income generated by the trust = $10,000 + $30,000 - $5,000 - $2,000 = $33,000 ⇒ THIS IS LOWERor the net income distributed = $45,000Suver Corporation has a standard costing system. The following data are available for June: Actual quantity of direct materials purchased 35,000 pounds Standard price of direct materials $ 8.00 per pound Material price variance $ 7,000 Unfavorable Material quantity variance $ 7,500 Favorable The actual price per pound of direct materials purchased in June was: Multiple Choice $7.76 per pound $8.00 per pound $8.20 per pound $8.24 per pound
Answer:
$8.20 per pound
Explanation:
The computation of the actual price per pound is shown below:
Material price variance = (Standard price per pound - Actual price per pound) × Actual quantity purchased
-$7,000 = ($8.00 - Actual price per pound) × 35,000
$8.00 - Actual price per pound = -$7,000 ÷ 35,000
Actual price per pound = $8.20 per pound
Hence, the actual price per pound is $8.20 per pound
We simply applied the above formula so that the correct value could come
And, the same is to be considered
The short-run economic outcome resulting from the increase in production costs is known as . Now suppose that the government immediately pursues an accommodative policy by increasing government purchases in response to the short-run economic impact of the severe weather. In the long run, when the government pursues accommodative policy, the output in the economy will be $ billion and the price level will be .
Answer:
The short-run economic outcome resulting from the increase in production costs is known as - Stagflation
Stagflation is a situation in which there is high inflation and high unemployment. In Stagflation, aggregate demand is constricted due to the high costs of goods and services because of an increase in firms' production costs.
Now suppose that the government immediately pursues an accommodative policy by increasing government purchases in response to the short-run economic impact of the severe weather. In the long run, when the government pursues accommodative policy, the output in the economy will be $ billion and the price level will be .
If the government pursues an accommodative policy, also known as an expansionary policy, both the output of the economy and the price level will increase in comparison to the previous numbers.
However, hopefully the level of output will increase proportionally more than the price level, because otherwise, the economic growth will be accompanied by high inflation, leading to an overheated and dysfunctional economy.
One week, Rachel earned $250. She spent $120 on food, $30 on miscellaneous items, and saved the rest. If Rachel makes a pie chart showing how she spends her money, the central angle for the food sector would be __________.
360° = $250
? =.$120
120×360= 43200
43200÷250
=172.8°
Todd Mountain Development Corporation is expected to pay a dividend of $3 in the upcoming year. Dividends are expected to grow at the rate of 11% per year. The risk-free rate of return is 8%, and the expected return on the market portfolio is 18%. The stock of Todd Mountain Development Corporation has a beta of 0.80. Using the constant-growth DDM, the intrinsic value of the stock is _________. Multiple Choice 8.80 11.11 27.27 60.00
Answer:
the intrinsic value of the stock is $60
Explanation:
The computation of the intrinsic value of the stock is as follows:
But before that the cost of equity is
The Cost of Equity is
= Risk Free Rate + Beta × (Market Return - Risk Free Rate)
= 8% + 0.80 × (18% - 8%)
= 16%
Now
Intrinsic Value is
= Next year Dividend ÷ (Rate of Return - Growth rate)
= $3 ÷ (16% - 11%)
= $60
hence, the intrinsic value of the stock is $60
Even though the moving averages help highlight the long-run trend of a time series, the moving-average model is not designed for making forecasts in the presence of trends. Explain the reason why we should not rely on moving averages for predicting future observations of a trending series.
Answer:
Moving averages cannot be used to make future forecasts successfully because certain events like demand, supply ,quality and external factors such as competitions cannot be determined with the use of Moving averages, and these factors have a huge impact on prices
Explanation:
Moving averages are generated / obtained using data from events that occurred previously hence they highlight the long-run trend of a time series, but they cannot be used to make future forecasts successfully because certain events like demand, supply ,quality and external factors such as competitions cannot be determined with the use of Moving averages. and these factors have a huge impact on prices
An asset was purchased for $147,000.00 on January 1, Year 1 and originally estimated to have a useful life of 8 years with a residual value of $8,500.00. At the beginning of the third year, it was determined that the remaining useful life of the asset was only 4 years with a residual value of $3,000.00. Calculate the third-year depreciation expense using the revised amounts and straight line method.
Answer: $27,343.75
Explanation:
The original yearly depreciation was ;
= (147,000 - 8,500) / 8
= $17,312.50
Value at beginning of Year 3;
= Cost - Accumulated depreciation
= 147,000 - (17,312.50 * 2)
= $112,375
Using the new figures, depreciation per year is now;
= (112,375 - 3,000) / 4
= $27,343.75
All employees of United Company are covered by a group hospitalization insurance plan, but the employees must pay the premiums ($8,000 for each employee). None of the employees has sufficient medical expenses to deduct the premiums. Instead of giving raises next year, United is considering paying the employee's hospitalization insurance premiums. If the change is made, the employee's after-tax and insurance pay will:
Answer:
a.Increase more for the higher income (35% marginal tax bracket) employees.
Explanation:
As in the question it is mentioned that the United company will pay the premium of $8,000 on behalf of each employee so it would be compensated from the salary of the employee and it could be comes under the taxable income
Therefore as per the given options, the option a is correct as it would be taxed at 35% tax rate from the salaries of the employees
Therefore all the other options are incorrect
A job was timed for 60 cycles and had an average of 1.2 minutes per piece. The performance rating was 95 percent, and workday allowances are 10 percent. Determine each of the following:
a) Observed Time
b) Normal Time
c) Standard Time
Answer and Explanation:
The computation is given below:
a) Observation time is
= Average time
= 1.2 minutes
b) Normal time is
= Observation time × performance rating
= 1.2 minutes × 0.95
= 1.14 minutes
c. The standard time is
= Normal time × allowance factor
= 1.14 × 1.11
= 1.265 minutes.
The allowance factor is
= 1 ÷ (1 - Allowances)
= 1 ÷ (1 - 0.1)
= 1.11
Corporation makes an extra large part to use in one its fabulous products. A total of 22,000 units of this extra large part are produced and used every year. The company's costs of producing the extra large part at this level of activity are below:
Per Unit
Direct materials $4.70
Direct labor $9.30
Variable manufacturing overhead $9.80
Supervisor's salary $5.20
Depreciation of special equipment $3.60
Allocated general overhead $8.80
An outside supplier has offered to make the extra large part and sell it to for $31.90 each. If this offer is accepted, the supervisor's salary and all of the variable costs, including the direct labor, can be avoided. The special equipment used to make the extra large part has no salvage value or other use. The allocated general overhead represents fixed costs of the entire company none of which would be avoided if the part were purchased instead of produced internally. In addition, the space used to make the extra large part could be used to make more of one of the company's other fabulous products, generating an additional segment margin of $34,000 per year for that product (Q). What would be the annual financial advantage (disadvantage) for Corp. as a result of buying the extra large part from the outside supplier?
Answer: Financial disadvantage of -$29,800
Explanation:
If extra large part is produced inhouse;
= Direct materials + direct labor + Variable manufacturing overhead + Supervisor's salary + opportunity cost of making other products
= ((4.7 + 9.3 + 9.8 + 5.2) * 22,000) + 34,000
= $672,000
Cost if bought outside;
= 31.90 * 22,000
= $701,800
Financial advantage ( disadvantage) = 672,000 - 701,800
= -$29,800
Problem 8-2A Record notes payable and notes receivable (LO2)
[The following information applies to the questions displayed below.]
Precision Castparts, a manufacturer of processed engine parts in the automotive and airline industries, borrows $40.6 million cash on October 1, 2015, to provide working capital for anticipated expansion. Precision signs a one-year, 8% promissory note to Midwest Bank under a prearranged short-term line of credit. Interest on the note is payable at maturity. Each firm has a December 31 year-end.
1. Prepare the journal entries on October 1, 2015, to record the issuance of the note.
2. Record the adjustment on December 31, 2015.
3. Prepare the journal entry on September 30, 2016, to record payment of the notes payable at maturity
Answer:
1. Prepare the journal entries on October 1, 2015, to record the issuance of the note.
Journal entry for Precision Castparts
Dr Cash 40,600,000
Cr Notes payable 40,600,000
Journal entry for Midwest Bank
Dr Notes receivable 40,600,000
Cr Cash 40,600,000
2. Record the adjustment on December 31, 2015.
Journal entry for Precision Castparts
Dr Interest expense 812,000
Cr Interest payable 812,000
Journal entry for Midwest Bank
Dr Interest receivable 812,000
Cr Interest revenue 812,000
3. Prepare the journal entry on September 30, 2016, to record payment of the notes payable at maturity
Journal entry for Precision Castparts
Dr Notes payable 40,600,000
Dr Interest expense 2,436,000
Dr Interest payable 812,000
Cr Cash 43,848,000
Journal entry for Midwest Bank
Dr Cash 43,848,000
Cr Notes receivable 40,600,000
Cr Interest receivable 812,000
Cr Interest revenue 2,436,000
Select the correct answer
What does the term constructed wetlands normally refer to
A natural wetlands that are used for wastewater disposal and treatment
B. wetlandis created for the purpose of environmental research
Cartificially created wetlands that simulate natural wetlands
D. wetlands used for constructing buildings
Reset
Net
What examples best demonstrate likely tasks for Distribution and Logistics workers? Check all that apply. Stacy supervises workers who create advertising strategies for a company. Mariano creates a website for providing information about a company’s product. Soledad identifies ways to reduce a company’s storage and shipping costs. Thurman researches the potential customers for a company to find out what they want. Portia supervises workers who ship and store products in a warehouse. Denver analyzes the supply chain for a company’s product.
Answer:
the real answer is c,e, and f
Explanation:
your welcome america
The best demonstrate likely tasks for Distribution and Logistics worker are a,c, and f.
What is distribution and logistics management?Distribution and logistics management is a critical company function. It play a key role in fulfilling customer demands, ordering and managing inventory, controlling inbound and outbound shipments, reducing costs, saving time, and meeting company objectives. and vision.
So the correct examples for Distribution and Logistics workers are: Portia supervises workers who ship and store products in a warehouseSoledad identifies ways to reduce a company’s storage and shipping costs. Denver analyzes the supply chain for a company’s product.Learn more about Distribution and Logistics here: https://brainly.com/question/27092762
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At the beginning of 2017, Wallace Corporation issued 10% bonds with a face value of $6,000,000. These bonds mature in the five years, and interest is paid semiannually on June 30 and December 31. The bonds were sold for $5,558,400 to yield 12%. Wallace uses a calendar-year reporting period. Using the effective-interest method of amortization, what amount of interest expense should be reported for 2017? (Round your answer to the nearest dollar.)
Answer:
$669,018
Explanation:
The computation of the interest expense reported is shown below:
Date Interest Payment Interest Amortization of Balance Book
(Face Value × Expense [B] Bond Discount value
Coupon Rate (A-B) of
× 1 ÷ 2) [A] Bonds
02-Jan-17 $441,600 $5,558,400
30-Jun-17 $300,000 $333,504 $33,504 $408,096 $5,591,904
(6,000,000 ×10% ×1 ÷ 2) ($5,558,400 × 12% ($441,600 - $33,504)
× 1 ÷ 2) (5,558,400 + 33504)
31-Dec-17 $300,000 $335,514
($6,000,000 × 10% ×1 ÷ 2) ($5,591,904 × 12% ×1 ÷ 2)
The total amount of interest expense is
= $333,504 + $335,514
= $669,018
Farmer Elvin is holding 200 pounds of potatoes in storage for Chef Noble but Chef Noble has breached the contract by failing to pay for the potatoes. The potatoes are beginning to rot. If Farmer Elvin sells the potatoes to a local diner to make potato soup and salad, then this action would be considered: Group of answer choices An attempt to maximize damages Conversion An attempt to realize an unwarranted profit. A reasonable mitigation of damages.
Answer:
A reasonable mitigation of damages.
Explanation:
Chef Noble breached the contract with farmer Elvin, and therefore, farmer Elvin is entitled to sue chef noble and seek compensatory damages for the money that he might have lost due to this contract breach. But it is reasonable for farmer Elvin to try to lower the damages suffered by selling the potatoes to other clients even if these clients do not pay the normal contract price for the merchandise. In the event of a lawsuit, this action will even benefit chef Noble since the damages will be smaller and the court will probably require him to pay a lower amount of money.
When a cable company is awarded sole possession to franchise in a community, that franchise is now a: Group of answer choices
Answer:
l think lt can be some problems._
Renn Company acquires land for $56,000 cash. Additional costs are as follows:
Removal of shed $ 300
Filling and grading 1, 500
Salvage value of lumber of shed 120
Broker commission 1, 130
Paving of parking lot 10,000
Closing costs 560
Renn will record the acquisition cost of the land as:____________.
A) $56,000.
B) $57, 690.
C) $59, 610.
D) $59, 370.
Answer:
D) $59, 370.
Explanation:
Calculation for how much Renn will record the
acquisition cost of the land
Cash$56,000
Removal of shed $ 300
Filling and grading 1, 500
Less Salvage value of lumber of shed (120)
Broker commission 1, 130
Closing costs 560
Acquisition cost of Land $59,370
Therefore Renn will record the acquisition cost of the land as:$59, 370
Swifty Corporation is constructing a building. Construction began on January 1 and was completed on December 31. Expenditures were $6380000 on March 1, $5270000 on June 1, and $8350000 on December 31. Swifty Corporation borrowed $3240000 on January 1 on a 5-year, 12% note to help finance construction of the building. In addition, the company had outstanding all year a 10%, 3-year, $6380000 note payable and an 11%, 4-year, $12650000 note payable. What is the actual interest for Swifty Corporation
Answer:
Swifty Corporation
The actual interest for Swifty Corporation is:
$2,418,300
Explanation:
a) Data and Calculations:
Expenditures were
on March 1, $6,380,000
on June 1, $5,270,000
on December 31 $8,350,000
Borrowings:
on January 1 on a 5-year, 12% note = $3,240,000 Interest = $388,800
Note payable, 10%, 3-year = $6,380,000 Interest = $638,000
Note payable, 11%, 4-year = $12,650,000 Interest = $1,391,500
Total interest for Swifty Corporation = $2,418,300
b) Computation of interests:
12% note = $3,240,000 * 12% = $388,800
10% note = $6,380,000 * 10% = $638,000
11% note = $12,650,000 * 11% = $1,391,500
When an interviewer introduces a new topic area, she is using a
A trick question
B secondary question
C turn-taking question
D primary question
Sue invested $5,000 in the ABC Limited Partnership and received a 10 percent interest in the partnership. The partnership had $20,000 of debt she is not responsible to repay because she is a limited partner. Sue is allocated a 10 percent share of the debt resulting in a tax basis of $7,000 and an at-risk amount of $5,000. During the year, ABC LP generated a ($70,000) loss. How much of Sue's loss is disallowed due to her tax basis or at-risk amount
Answer:
$2,000
Explanation:
Calculation for How much of the Sue's loss is disallowed due to her tax basis or at-risk amount
Based on the information given we were told that that Sue is been allocated a 10% of the debt which resulted in a tax basis of the amount of $7,000 as well as an at-risk amount of $5,000 which means that the amount that the Sue's loss will be disallowed due to her tax basis Amount or at-risk amount will be calculated as :
Using this formula
Disallowed Sue's loss=Tax basis-At-risk amount
Let plug in the formula
Disallowed Sue's loss=$7,000-$5,000
Disallowed Sue's loss=$2,000
Therefore How much of the Sue's loss is disallowed due to her tax basis or at-risk amount will be $2,000
In the market for pickled herring there are two competing producers: Abbas and Taste of Base. Both herring manufacturers have fixed cost worth $880,000 a year and a constant marginal and average variable cost of $3.22 per jar. In the current year, Abbas produced and sold 400,000 jars of herring while Taste of Base produced and sold 222,000 jars. Based on this information, we can expect Abbas' quantity sold to _____________ and its ________ in the future.
Answer: increase; average fixed cost to decrease
Explanation:
Abbas produced 400,000 jars which is more than those produced by Taste of Base. With a higher quantity of jars produced, we can expect that they will sell more jars which means that Abbas' quantity sold will increase.
Average fixed cost is calculated by dividing Fixed costs by quantity produced. If Abbas produces more jars as they did, the quantity dividing fixed costs will be more which means that the Average Fixed cost will be less. Simply put, there is less fixed cost per jar, the higher the number of jars produced.
Sonic Inc. manufactures two models of speakers, Rumble and Thunder. Based on the following production and sales data for June, prepare (a) a sales budget and (b) a production budget: Rumble Thunder Estimated inventory (units), June 1 266 78 Desired inventory (units), June 30 306 68 Expected sales volume (units): Midwest Region 3,450 3,050 South Region 5,300 6,000 Unit sales price $100 $185 a. Prepare a sales budget.
Answer:
a. Sales budget
Product and Area Unit Sales Volume Unit Selling Price Total
Model Rumble:
Midwest Region 3,450 100 $345,000
South Region 5,300 100 $530,000
Total $875,000
Model Thunder
Midwest Region 3,050 185 $564,250
South Region 6,000 185 $1,110,000
Total $1,674,250
Total Revenue from sales $2,549,250
b. Production budget
Units Model Rumble Units Model Thunder
Expected units to be sold 8,750 9,050
Total Units Required 9,056 9,118
Total Units to be Produced 8,790 9,040
Expected units Rumble = 3,450 + 5,300 = 8,750
Expected units Thunder = 3,050 + 6,000 = 9,050
Total Units required Rumble = 8,750 + 306 (desired inventory) = 9,056
Total Units required Thunder = 9,050 + 68 (desired inventory) = 9,118
Total units to be produced Rumble = 9,056 - 266(opening inventory)= 8,790
Total units to be produced Thunder = 9,118 - 78 (opening inventory) = 9,040
Company A purchases cases of fertilizer for its lawn-care business from a supplier who charges $30 per order and $50 per case. Each case consists of five bags of fertilizer. Company A needs 2,000 bags of fertilizer a year. Company A’s annual holding costs are 30%. If Company A only has room to hold 25 cases of fertilizer, how many cases should Company A order each time to minimize the total holding and ordering cost?
Answer:
EOQ = √2DS/H
Annual demand = 2000 bags/5 = 400 cases
Order cost = $030
Holding cost = 50*0.30 = $15
EOQ = √2*400*30/15
EOQ = √1600
EOQ = 40
The Economic order quantity = 40. In order to minimize the total cost, the company should order 40 units. However, since Company A only has room to hold 25 cases of fertilizer, therefore, it should order 25 cases each time.
On June 30, Company issues , -year bonds payable with at face value of . The bonds are issued at face value and pay interest on June 30 and December 31. Requirements 1. Journalize the issuance of the bonds on June 30. 2. Journalize the semiannual interest payment on December 31. Requirement 1. Journalize the issuance of the bonds on June 30. (Record debits first, then credits. Select explanations on the last line of the journal entry.)
Answer:
1. Dr Cash $ 98,000
Dr Discount on Bonds Payable $2,000
Cr Bonds payable $100,000
2. Dr Interest Expense $ 4,050
Cr Discount on Bonds Payable $50
Cr Cash $4,000
Explanation:
1. Preparation of the journal entry for the issuance of the bonds on June 30
Dr Cash $ 98,000
( $ 100,000 x 0.98 )
Dr Discount on Bonds Payable $2,000
($100,000 - $98,000)
Cr Bonds payable $100,000
2. Preparation of the Journal entry to record the semiannual interest payment
Dr Interest Expense $ 4,050
($4,000 + $50 )
Cr Discount on Bonds Payable $50
( $2,000 x 1/40 )
Cr Cash $4,000
($ 100,000 x 8% x 6/12 )
If you restate a quote in your own words but do not cite your source you can be rightfully accused of
Answer:
correct, you could be accused of plagerism
Select the incorrect statement regarding upstream and downstream costs. A. Companies normally incur significant downstream costs. B. To be profitable, companies must recover the total cost of developing, producing, and delivering products. C. Pricing decisions must consider both upstream and downstream costs in addition to manufacturing costs. D. Upstream and downstream costs are reported as product costs on the income statement.
Answer:
D. Upstream and downstream costs are reported as product costs on the income statement.
Explanation:
Downstream cost is the cost that are spend by the company when the process of the production is completed or the product is ready for delivery made to the customers so this cost would be considered as a distribution to the marketing
While on the other hand the upstream cost is the cost i.e. spend prior to the process of the production like buying of the raw material, product design & development etc
So the downstream would not be recorded as a product cost but it would be recorded as a period cost in terms of the selling and marketing expense
Therefore the option D is incorrect
40
Maria makes hand-crafted jewelry. Lately the demand for her items has
increased. She currently has them on consignment in a shop, but wants to
have them placed in multiple stores. To do this she needs one central place to
hold a high volume of her jewelry so that retailers can purchase her jewelry in
large numbers. Which channel member should she use for this step?
A. Supplier
B. Producer
C. Consumer
D. Wholesaler
Answer:
D.) Wholesaler
Explanation:
Just took this test, and got this answer correct.
The channel member that should be used by Maria to satisfy the increasing demand is wholesaler. Hence, Option D is correct.
What is the meaning of wholesaler?A wholesaler serves as a middleman or intermediary in the supply chain. The most typical example of a wholesaler is a business that buys finished goods from manufacturers and distributes them to retailers, who then sell more of the goods to consumers in smaller quantities.
Jewelry created by Maria is handmade. Her products are more in demand nowadays. She has them on consignment in a store for now, but she wants to have them distributed to several shops.
In order for merchants to buy her jewellery in large quantities, she needs a single, central location to store a lot of it. Maria needs to use wholesalers as a channel partner to meet the rising demand.
Therefore, option D is correct.
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has 17,500 shares of stock outstanding along with $408,000 of interest-bearing debt. The market and book values of the debt are the same. The firm has sales of $697,000 and a profit margin of 6.8 percent. The tax rate is 35 percent, the debt-equity ratio is 40 percent, and the price-earnings ratio is 11.8. The firm has $130,000 of current assets of which $41,200 in cash. What is the enterprise value
Answer:
$926,073
Explanation:
Enterprise value=market capitalization+value of debt-cash
value of the firm=price-earnings ratio=11.8
earnings=net income
net income=profit margin*sales
net income=$697,000*6.8%=$47,396
11.8=market capitalization/$47,396
market capitalzation=11.8*$47,396=$559,272.80
enterprise value=$559,272.80+$408,000-$41,200=$ 926,072.80 (approx $926,073)
You are planning to save for retirement over the next 25 years. To do this, you will invest $820 per month in a stock account and $420 per month in a bond account. The return of the stock account is expected to be 10.2 percent, and the bond account will pay 6.2 percent. When you retire, you will combine your money into an account with a return of 7.2 percent. How much can you withdraw each month from your account assuming a 20-year withdrawal period
Answer:
$10,460
Explanation:
You will contribute 25 x 12 = 300 monthly payments to your savings accounts. In order to determine their future value, we must first determine the effective interest rates:
stock account = 1.102 = (1 + r)¹²
¹²√1.102 = ¹²√(1 + r)¹²1.008127 = 1 + rr = 0.008127 = 0.81% monthly ratebond account = 1.102 = (1 + r)¹²
¹²√1.062 = ¹²√(1 + r)¹²1.0050 = 1 + rr = 0.005 = 0.5% monthly rateIn 25 years, you will have:
stock account = $820 x 1,265.21433 (PV annuity factor, 0.81%, 300 periods) = $1,037,475.75bond account = $420 x 692.99396 (PV annuity factor, 0.5%, 300 periods) = $291,057.46total = $1,328,533.21using the payout annuity formula:
P₀ = [d (1 - (1 + r/x)⁻ⁿˣ)] / (r/x)
P₀ = $1,328,533.21d = monthly withdrawal = ? r = annual interest rate = 0.072 x = number of compounding periods = 12n = number of years = 20$1,328,533.21 = [d (1 - (1 + 0.072/12)⁻²⁴⁰)] / (0.072/12)
$7,971.20 = d (1 - 0.23795)
$7,971.20 = d (0.762)
d = $7,971.20 / 0.762 = $10,460