Answers
Answer:
13.50%
Explanation:
Please find attached an image showing r and the cash flows
MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n) - 1
n = number of years
present value of the firm's cash outflow = $800
Future value of a firm's cash inflow
Future value of year 1's cash flow = 350 x (1.11^2) = $431.24
Future value of year 2's cash flow = 350 x (1.11^1) = $388.50
Future value of year 3's cash flow = $350
Add the future values together = 1169.74
MIRR = [(1169.74 / 800)^(1/3)] - 1 = 0.1350 = 13.50%
Related Questions
The cost of preferred stock
Preferred stock is a hybrid security, because it has some characteristics typical of debt and others typical of equity. The following table lists various characteristics of preferred stock. Determine which of these characteristics is consistent with debt and which is consistent with equity.
Characteristics Debt Equity
Dividends are fixed
Usually has no specified maturity date
Consider the case of Tamin Enterprises:
At the present time, Tamin Enterprises does not have any preferred stock outstanding but is looking to include preferred stock in its capital structure in the future. Tamin has found some institutional investors that are willing to purchase its preferred stock issue provided that it pays a perpetual dividend of $11 per share. If the investors pay $97.95 per share for their investment, then Tamin's cost of preferred stock (rounded to four decimal places) will be:_____.
Answers
Answer:
Dividends are fixed ⇒ Debt
Preferred dividends are fixed much like the interest payments made on debt which makes this a characteristic of debt.
Usually have no specified maturity date ⇒ Equity
Equity does not have an expiration or maturity date and preferred shares share this same characteristic.
Cost of preferred stock.
The value of a Preferred stock is calculated by the formula:
Price = Dividend / Cost of preferred stock
97.95 = 11 / Cp
97.95 * Cp = 11
Cp = 11/ 97.95
= 11.23%
Implement a table and re-organize your page contents so that it is displayed within the table (you can organize the table's content as you like).
2) Add one external CSS file and apply it to your 2 pages (the style sheet should have at least Fonts, Color, sizing and background). The CSS should provide a uniform look/feel between the 2 pages.
Answers
Answer:
just here for points
Explanation:
iskksns
Poe Company is considering the purchase of new equipment costing $81,500. The projected net cash flows are $36,500 for the first two years and $31,500 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 an annuity of 1 and present value of an annuity for different periods is presented below. Compute the net present value of the machine.
Answers
Answer:
$27,028.45
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
Only projects with a positive NPV should be accepted. A project with a negative NPV should not be chosen because it isn't profitable.
When choosing between positive NPV projects, choose the project with the highest NPV first because it is the most profitable.
Cash flow in year 0 = $-81,500
Cash flow in year 1 and 2 = $36,500
Cash flow in year 3 and 4 = $31,500
I - = 10%
NPV = $27,028.45
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
For Sanborn Co., sales is $1,000,000, fixed expenses are $300,000, and the contribution margin per unit is $60. What is the break-even point? g
Answers
Answer:
Break-even point in units= 5,000
Explanation:
Giving the following information:
Sales= $1,000,000
Fixed expenses= $300,000
Contribution margin per unit= $60
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 300,000 / 60
Break-even point in units= 5,000
Splish Brothers Inc. uses a perpetual inventory system. Data for product E2-D2 include the following purchases.
Date Number of Units Unit Price
May 7 105 $7
July 28 63 18
On June 1, Splish Brothers sold 55 units, and on August 27, 84 more units. Prepare the perpetual inventory schedule for the above transactions using moving average cost.
Answers
Answer:
Splish Brothers Inc.
Perpetual Inventory Schedule using moving average costs:
Date Description Number Average Cost Total Cost Cost
of Units Balance
May 7 Purchase 105 $7 $735 $735
June 1 Sales (55) $7 385 350
July 28 Purchase 63 $18 1,134 1,484
August 27 Sales (84) $13.1327 1,103 381
Explanation:
a) Data and Calculations:
Date Number of Units Unit Price Total Costs
May 7 Purchase 105 $7 $735
June 1 Sales (55) $7 385
July 28 Purchase 63 $18 1,134
August 27 Sales (84) $13.1327 1,103
Cost of goods sold = $1,488 ($385 + $1,103)
Ending inventory = $381
A project with an initial investment of $461,300 will generate equal annual cash flows over its 10-year life. The project has a required return of 8.1 percent. What is the minimum annual cash flow required to accept the project
Answers
Answer:
The minimum annual cash flow required to accept the project is:
= $63,883.17
Explanation:
a) Data and Calculations:
Initial investment cost of the project = $461,300
Project's estimated life = 10 years
Project's required return rate = 8.1%
The minimum annual cash flow required to accept the project is derived from an online financial calculator as follows:
N (# of periods) 10
I/Y (Interest per year) 8.1
PV (Present Value) 461300
FV (Future Value) 0
Results:
PMT = $63,883.17
Sum of all periodic payments = $638,831.69
Total Interest = $177,531.69
A sole proprietorship is: Select one: A. the easiest type of business to set up B. the least profitable type of business to set up C. the most expensive type of business to set up D. the most difficult type of business to set up.
Answers
Answer:
it is an easiest type of business to set up because it requires small capital to start but has many disadvantages such as bearing all the risks alone.etc
Market efficiency is probably the most controversial concept in finance. Even recent winners of the Nobel Prize in Economics come down on opposite sides of the issue. Nonetheless, it is important for you to grapple with this idea. It has very important practical implications for investment decisions, including (especially) for your personal investment decision. In particular, should you pursue active or passive strategies
Answers
Answer:
Active strategies should be pursued when the market is more volatile, with larger fluctuations over a shorter period of time, that require a more active management of a portfolio, in order to take advantage of fast changing positions in different assets, and also in order to avoid possible losses due to staying in particular positions for too long.
Passive strategies is more long-term focused, and should be pursued when the economy is more stable. Passive strategies should be analyzed carefully before execution because once the passive investment is made, the idea is to keep the position for a long period of time instead of buying and selling constantly as in a active strategy.
A local distributor for a national tire company expects to sell approximately 10,160 tires of a certain size and tread design next year. Annual carrying cost is $14 per tire and ordering cost is $76. The distributor operates 287 days a year.
a. What is the EOQ
b. How many times per year does the store reorder?
c. What is the length of an order cycle?
d. What is the total annual cost if the EOQ quantity is ordered?
Answers
Answer:
Following are the solution to the given points:
Explanation:
Given:
[tex](D) = 10,160\ tires / year\\\\(H) = \$14 / tire\\\\(S) = \$76\\\\work\ days\ number = 287 \ \frac{days}{year}[/tex]
For point a:
[tex]EOQ = \sqrt{(\frac{2DS}{H})}[/tex]
[tex]=\sqrt{(\frac{2\times 10,160\times 14 }{14})}\\\\=\sqrt{({2\times 10,160})}\\\\=\sqrt{20320}\\\\=142.548[/tex]
For point b:
Calculating the order of number of per year [tex]= \frac{D}{EOQ}[/tex]
[tex]=\frac{10,160}{142.548}\\\\=71.27\approx 71[/tex]
therefore, the reorded store 71 times per year
For point c:
Calculating the order cycle length [tex]= (\frac{EOQ}{D}) \times \text{work days number in a year}[/tex]
[tex]= (\frac{142.548}{10,160}) \times287\\\\= 0.0140\times287\\\\=4.018[/tex]
For point d:
[tex]\text{Total annual cost = carrying cost + ordering cost}[/tex]
Carrying cost:
[tex]= (\frac{EOQ}{2}) \times H \\\\= (\frac{142.548}{2}) \times 14 \\\\= 71.274 \times 14 \\\\= \$997.836 \approx 998\\\\\[/tex]
Ordering cost:
[tex]= (\frac{D}{EOQ}) \times S \\\\ = (\frac{10160}{142.548}) \times 76 \\\\ = 71.274\times 76\\\\ = \$5416.824\\\\[/tex]
[tex]\therefore\\\\\text{Total annual cost = Carrying cost + Holding cost}[/tex]
[tex]=998+5416.824\\\\=6414.824[/tex]
Microhard has issued a bond with the following
Answers
Par
Time to maturity
Coupon rate
Semiannual payments
Fern invested $6400 into a continuously compounded account with an interest rate of 1.5%. After 10 years, how much is the account worth
Answers
Answer:
FV= $7,435.74
Explanation:
Giving the following information:
Initial investment= $6,400
Interest rate= 1.5%
Number of periods= 10 years
To calculate the value of the account in ten years, we need to use the following formula:
FV= PV*e^(i*n)
FV= 6,400*e^(0.015*10)
FV= $7,435.74
Sebastian received a raise this year so his income climbed from $45,000 to $52,000. Last year Sebastian purchased 2 sunglasses. This year he has purchased 7 sunglasses. Assuming that all of the other things remain constant, what type of a good are sunglasses and what type of income elasticity of demand does Sebastian have
Answers
Answer:
normal good
elastic demand
Explanation:
Income elasticity of demand measures the responsiveness of quantity demanded to changes in income.
Income elasticity = percentage change in quantity demanded / percentage change in income
percentage change in quantity demanded = (7/2) - 1 = 250%
percentage change in income = (52,000 / 45,000) - 1 = 15.6%
250 / 15.6 = 16.07
If the absolute value of income elasticity of demand is greater than one, it means demand is elastic.
Normal goods are goods that are goods whose demand increases when income increases and falls when income falls
Inferior goods are goods whose demand falls when income rises and increases when income falls.
Suppose that the reason the jewelry was brand new and at such a bargain price online was because the seller actually stole the jewelry. If the jewelry were stolen, what type of title would Hugo hold when he purchased the jewelry
Answers
Answer: d. Void.
Explanation:
The seller stole the jewelry and so does not hold any legal title to the jewelry in the first place. The seller cannot therefore pass something that they do not possess which means that Hugo did not get a title.
Hugo's supposed title is therefore void which means that should the real owner of the jewelry ever find out that he has it, they can simply come back and claim it without needing to pay Hugo for it.
MC Qu. 117 Cosi Company uses a job order costing... Cosi Company uses a job order costing system and allocates its overhead on the basis of direct labor costs. Cosi expects to incur $830,000 of overhead during the next period, and expects to use 53,000 labor hours at a cost of $10.00 per hour. What is Cosi Company's overhead application rate
Answers
Answer:
157%
Explanation:
Calculation to determine Cosi Company's overhead application rate
First step is to calculate Total DL Cost
Total DL Cost = 53,000 hours * $10/hr
Total DL Cost= $530,000
Now let determine the overhead application rate
OH rate = $830,000/$530,000*100
OH rate= 157%
Therefore Cosi Company's overhead application rate is 157%
MC Qu. 98 Peterson Company estimates that overhead... Peterson Company estimates that overhead costs for the next year will be $6,920,000 for indirect labor and $840,000 for factory utilities. The company uses machine hours as its overhead allocation base. If 80,000 machine hours are planned for this next year, what is the company's plantwide overhead rate
Answers
Answer:
Predetermined manufacturing overhead rate= $97 per machine hour
Explanation:
To calculate the predetermined manufacturing overhead rate we need to use the following formula:
Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Predetermined manufacturing overhead rate= (6,920,000 + 840,000) / 80,000
Predetermined manufacturing overhead rate= $97 per machine hour
A 5-year treasury bond with a coupon rate of 8% (paid semiannually) has a face value of $1,000. What is the semiannual coupon payment
Answers
Answer:
$40
Explanation:
Coupon payment = Face value * Coupon rate * 1/2
Coupon payment = $1,000 * 8% * 1/2
Coupon payment = $1,000 * 0.08 * 1/2
Coupon payment = $40
So, the semiannual coupon payment is $40.
Two years ago, Kuley invested $20,900. She has earned and will earn compound interest of 7.8 percent per year. In 3 years from today, Nabax can make an investment and earn simple interest of 5.3 percent per year. If Nabax wants to have as much in 7 years from today as Kuley will have in 7 years from today, then how much should Nabax invest in 3 years from today
Answers
Answer:
$73306.46
Explanation:
Compound interest = Principal(1+rate/n)^nt
If Kuley invested $20900 and compound interest rate of 7.8% per year for 7 years then,
Compound interest in 7 years =$20900(1+7.8/12)^12×7
=$20900×1.7233= $36016.97
After 3 years, Nabax would have 4 years left to make what kuley made in 7 years
Kuley made compound interest of $36016.97-$20900= $15116.97
Nabax will invest for 4 years at simple interest rate of 5.3%
Simple interest = principal×time×rate/100
We substitute to get his needed amount(principal)
$15116.97=Principal×4×5.3/100
$15116.97= 21.2Principal/100
Cross multiply to make principal subject of the formula:
Principal= 1511697/21.2
Principal = $73306.46
Therefore Nabax needs to invest $73306.46 to get the same amount of return that kuley got in 7 years
SpyingEyes, Inc., a large data intelligence company, has storage technology at multiple sites that store redundant data from its servers at the main office. What risk management strategies has the company primarily implemented?
Answers
Answer:
Avoid it risk management strategies
Explanation:
As the name suggests, In Avoid it risk management strategies the organisation takes every feasible step to stop any mismanagement from happening altogether. In other words, this strategy is based on strict monitoring and preparedness in advance.
Thus, from the above we can conclude that the above case illustrates avoid it risk management strategy.
Suppose there is a simple one good economy that only produces spinning rims. In 2015, the economy was able to produce 1 million sets of spinning rims at an amazing price of $500 per set. In 2016, the economy was able to produce 1 million sets of spinning rims at a price of $1,000 per set. By what amount did real GDP increase between 2015 and 2016 in the simple one good economy
Answers
Answer: 0
Explanation:
Firstly, we will calculate the nominal value in 2015 which will be:
= $500 x 1 million
= $500 million
The nominal value in 2016 will be:
= $1000 x 1 million
= $1 billion
Real GDP will be the price of the base year multiplied by the quantity of the current year which will be:
= $500 million x 1 million sets
= $500 million
Therefore, the increase in real GDP is zero.
g An increase in the interest rate: has no effect on investment. may be caused by a drop in investment demand. increases planned investment because people who make money from interest have more money to invest. reduces planned investment because the interest rate is the cost of borrowing to finance investment projects.
Answers
Answer:
reduces planned investment because the interest rate is the cost of borrowing to finance investment projects.
Explanation:
There is an inverse relationship between interest rate and planned investment.
The higher interest rate is, the lower planned investment. This is because interest rate is the cost of borrowing. An higher interest rate means the cost of borrowing would increase.
On the other hand, a lower interest rate increases planned investment. This is because a lower interest rate means that the cost of borrowing would reduce.
Why is developing a reputation as a subject matter expert important for a leader if leadership deals so heavily with interpersonal skills
Answers
Answer:
Reputation is very important for a leader. If a leader has god interpersonal skills but lacks in good reputation people might hesitate to associate with him and support his activities.
Explanation:
Reputation is most valuable asset for any leader. A leader may have good knowledge of everything, he may have good interpersonal skills but reputation overcomes all of these qualities. Strong reputation of a leader will make it easy for him to earn popularity and respect among people. Reputation is the main quality which leads to success to a leader.
Richards Corporation uses the FIFO method of process costing. The following information is available for October in it's fabricating department: Units: Beginning inventory: 80,000 units, 60% complete as to materials and 20% complete as to conversion. Units started and completed: 250,000 Units completed and transferred out: 330,000 Ending inventory: 30,000 units, 40% complete as to materials and 10% complete as to conversion Costs: Costs in beginning Work in Process - direct materials: $37,200 Costs in beginning Work in process - conversion: $79,700 Costs incurred in October - Direct materials: $646,800 Costs incurred in October: Conversion: $919,300 Calculate the equivalent units of conversion. A. 250,000 B. 317,000 C. 294,000 D. 333,000 E. 342,000
Answers
Answer:
B. 317,000
Explanation:
Statement of Equivalent production
Particulars Conversion % Completion Equivalent Conversion
Opening WIP 80,000 80% 64,000
Units started & 250,000 100% 250,000
completed
Ending WIP 30,000 10% 3,000
Equivalent Units 317,000
A company ages its accounts receivables to determine its end of period adjustment for bad debts. At the end of the current year, management estimated that $22,750 of the accounts receivable balance would be uncollectible. Prior to any year-end adjustments, the Allowance for Doubtful Accounts had a credit balance of $445. What adjusting entry should the company make at the end of the current year to record its estimated bad debts expense
Answers
Answer:
The appropriate answer is "$22,305".
Explanation:
The given values are:
Estimated uncollectible,
= $22,750
Credit balance in allowance,
= $445
Now,
The bad debt expense will be:
= [tex]Estimated \ uncollectible-Credit \ balance \ in \ allowance[/tex]
By substituting the values, we get
= [tex]22750-445[/tex]
= [tex]22305[/tex] ($)
Nadal Inc. had two temporary differences at the end of 2013. The first difference stems from installment sales, and the second one results from the accrual of a loss contingency. Nadal's accounting department has developed a schedule of future taxable and deductible amounts related to these temporary differences as follows:
Taxable amounts:
2014 $40,000
2015 $50,000
2016 $60,000
2017 $80,000
Deductible amounts:
2014 $0
2015 $(15,000)
2016 $(19,000)
2017 $0
As of the beginning of 2013, the enacted tax rate is 34% for 2013 and 2014, and 38% for 2015-2018. At the beginning of 2013, the company had no deferred income taxes on its balance sheet. Taxable income is expected in all future years.
A. Prepare the journal entry to record income tax expense, deferred income taxes, and income taxes payable for 2013.
B. Indicate how deferred income taxes would be classified on the balance sheet at the end of 2013.
Answers
Answer:
72,880
Explanation:
Given:
Taxable amounts are as follows,
2014$40,000
2015$50,000
2016$60,000
2017$80,000
Deducible amounts are as folllows,
2014$0
2015$(15,000)
2016$(19,000)
2017$0
Solution:
Taxable amount is as follows,
2014$40,000-34%-13,600
2015$35,000-38%-13,300
2016$41,000-38%-15,580
2017$80,000-38%-30,400
Therefore the deferred liability 72,880
To income tax provision 72,880
This would be shown as deferred tax liability under the long term liabilities head with amount of $72,880
The contribution margin ratio is interpreted as the percent of: Multiple choice question. each variable cost dollar that remains after deducting fixed costs each sales dollar that remains after deducting fixed costs each sales dollar that remains after deducting unit variable cost
Answers
Answer: each sales dollar that remains after deducting unit variable cost
Explanation:
The contribution margin ratio is interpreted as the percent of each sales dollar that remains after the deduction of unit variable cost.
The contribution margin ratio refers to the difference between the sales that a company makes and its variable costs which is expressed as a percentage. The ratio simply indicates the amount of money that is available to cover the fixed costs.
Vextra Corporation is considering the purchase of new equipment costing $38,000.The projected annual cash inflow is $11,600, to be received at the end of each year.The machine has a useful life of 4 years and no salvage value.Vextra requires a 12% return on its investments.The present value of an annuity of $1 for different periods follows:Periods 12 Percent1 0.89292 1.69013 2.40184 3.0373What is the net present value of the machine (rounded to the nearest whole dollar)?a. $(35,233).b. $(2,767).c. $38,000.d. $(3,700).e. $5,233.
Answers
Answer:
b. $(2,767).
Explanation:
The computation of the net present value is shown below:
= Present cash flows - initial investment
= ($11,600 × 3.0373) - $38,000
= $35,232.68 - $38,000
= -$2,767.32
= -$2,767
Hence, the option b is correct
We simply applied the above formula to determine the net present value
This morning you purchased one share of stock for $14. The stock pays $.20 per share each quarter as a dividend. What must the stock price be one year from now if you want to earn a total return of 12 percent for the year
Answers
Answer:
$14.88
Explanation:
The computation of the stock price is given below:
A total return of 12% means that
= 0.12 × 14
= $1.68 in a year.
Now
The total dividend payments for 4 quarters is
= 0.2 × 4
= $0.8.
Now the price of the stock should increase by
= 1.68 - 0.8
= 0.88
So the stock price one year from now is
= 14 + 0.88
= $14.88
Jack asked Jill to marry him, and she has accepted under one condition: Jack must buy her a new $ Rolls-Royce Phantom. Jack currently has $ that he may invest. He has found a mutual fund with an expected annual return of % in which he will place the money. How long will it take Jack to win Jill's hand in marriage?
Answers
Answer: 47.8 years
Explanation:
Jack is trying to make up to $330,000 from $50,680 at a rate of 4%.
The relevant formula is the future value formula as Jack is trying to get to a certain amount in future:
330,000 = 50,680 * ( 1 + 4%) ^ number of years
1.04 ^ number of years = 330,000 / 50,680
1.04 ^ N = 6.51144435674822
Use the natural logarithm:
N * In (1.04) = In (6.51144435674822)
N * 0.039220713153281 = 1.873561299007586979
N = 1.873561299007586979 / 0.039220713153281
= 47.8 years
The budget director of Feathered Friends Inc., with the assistance of the controller, treasurer, production manager, and sales manager, has gathered the following data for use in developing the budgeted income statement for December 2016:
Estimated sales for December:
Bird house 3,200 units at $50 per unit
Bird feeder 3,000 units at $70 per unit
Estimated inventories at December 1:
Direct materials:
Wood 200 ft.
Plastic 240 lbs.
Finished products:
Bird house 320 units at $27 per unit
Bird feeder 270 units at $40 per unit
Desired inventories at December 31:
Direct materials:
Wood 220 ft.
Plastic 200 lbs.
Finished products:
Bird house 290 units at $27 per unit
Bird feeder 250 units at $41 per unit
Direct materials used in production:
In manufacture of Bird House:
Wood 0.80 ft. per unit of product
Plastic 0.50 lb. per unit of product
In manufacture of Bird Feeder:
Wood 1.20 ft. per unit of product
Plastic 0.75 lb. per unit of product
Anticipated cost of purchases and beginning and ending inventory of direct materials:
Wood $7.00 per ft.
Plastic $1.00 per lb.
Direct labor requirements:
Bird House:
Fabrication Department 0.20 hr. at $16 per hr.
Assembly Department 0.30 hr. at $12 per hr.
Bird Feeder:
Fabrication Department 0.40 hr. at $16 per hr.
Assembly Department 0.35 hr. at $12 per hr.
Estimated factory overhead costs for December:
Indirect factory wages $75,000
Depreciation of plant and equipment 23,000
Power and light $6,000
Insurance and property tax 5,000
Estimated operating expenses for December:
Sales salaries expense $70,000
Advertising expense 18,000
Office salaries expense 21,000
Depreciation expense—office equipment 600
Telephone expense—selling 550
Telephone expense—administrative 250
Travel expense—selling 4,000
Office supplies expense 200
Miscellaneous administrative expense 400
Estimated other income and expense for December:
Interest revenue $200
Interest expense 122
Estimated tax rate: 30%
1. Prepare asales budget for December.
2. Prepare a production budget for December.
Answers
Answer:
1. Sales Budget:
Bird House 3,200 units * $50 per unit = $160,000
Bird feeder 3,000 units * $70 per unit = $210,000
Total Revenue = $370,000
Explanation:
2. Production Budget:
Bird House
Expected units to be sold = 3,200
Less: Desired ending finished goods = 290
Total Units to be produced = 3,490
Less: Beginning Units = 320
Units to be produced = 3,170
Bird Feeder
Expected units to be sold = 3,000
Less: Desired ending finished goods = 250
Total Units to be produced = 3,250
Less: Beginning Units = 270
Units to be produced = 2,980
You are given the following data Stock A Expected return 8.00% Standard deviation 23.00% Stock B Expected return 7.50% Standard deviation 33.00% The correlation of Stock A and Stock B is 0.05. What is the variance of risky portfolio P with 43% in Stock A and the rest in Stock B
Answers
Answer:
Variance of risky portfolio P = 4.61%
Explanation:
WA = Weight of stock A = 43%, or 0.43
WB = Weight of stock B = 1 - 0.43 = 0.57
SA = Standard deviation of stock A = 23%, or 0.23
SB = Standard deviation of stock B = 33%, or 0.33
Cab = Correlation of Stock A and Stock B = 0.05
Therefore, we have:
Variance of risky portfolio P = (WA^2 * SA^2) + (WB^2 * SB^2) + (WA * SA * WB * SB * Cab) = (0.43^2 * 0.23^2) + (0.57^2 * 0.33^2) + (0.43 * 0.23 * 0.57 * 0.33 * 0.05) = 0.0461, or 4.61%