Answer: 43.8 days
Explanation:
Average days of school inventory can be calculated as:
= Average inventory balance/(Cost of goods sold/365)
= $3million/($25 million/365)
= $3 million/$68493.15
= 43.8 days
When new facilities are built and operated overseas that require large investment of capital because these new establishments are tailored to the exact needs of the home country firm, it is called a(n) _____.
a. exporting.b. subsidiary.c. strategic alliance.d. multinational enterprise.e. foreign acquisition.
Answer:
b. subsidiary
Explanation:
Subsidiaries are companies that belong to a larger parent company. They are usually established overseas as an extension of the parent company's operations.
Parent companies of the subsidiaries hold controlling interest in stock, therefore they tailor the subsidiaries to their exact needs.
When there is a 100% ownership by the parent company it is called a wholly owned subsidiary
As a result of a thorough physical inventory, Coronado Company determined that it had inventory worth $321000 at December 31, 2020. This count did not take into consideration the following facts: Walker Consignment currently has goods worth $46300 on its sales floor that belong to Coronado but are being sold on consignment by Walker. The selling price of these goods is $75000. Coronado purchased $21100 of goods that were shipped on December 27, FOB destination, that will be received by Coronado on January 3. Determine the correct amount of inventory that Coronado should report.
Answer:
The correct cost of inventory that Coronado should report is $367300
Explanation:
The goods sent on consignment still belong to the consignor until they are sold off by the consignee. So, the consignor should add the unsold consignment goods in its inventory. Thus we will add the cost of goods sent on consignment to the value of inventory.
Value of inventory = 321000 + 46300 = $367300
The goods purchased by Coronado on 27 December with FOB destination should not be added to the cost of inventory as with FOB destination terms, the goods do not belong to the buyer until they are delivered to their destination by the seller.
Thus, the correct cost of inventory that Coronado should report is $367300
Pauley Company needs to determine a markup for a new product. Pauley expects to sell 22,000 units and wants a target profit of $16 per unit. Additional information is as follows: Variable product cost per unit $ 18 Variable administrative cost per unit 13 Total fixed overhead 20,500 Total fixed administrative 36,700 Using the variable cost method, what markup percentage to variable cost should be used
Answer:
variable markup % = 60%
Explanation:
total units sold 22,000
total costs associated with selling the 22,000 units:
variable production costs $18 x 22,000 = $396,000
variable S&A costs $13 x 22,000 = $286,000
fixed overhead = $20,500
fixed S&A = $36,700
total costs = $739,200
total cost per unit = $33.60
selling price = $33.60 + $16 = $49.60
markup percentage = [(sales price - unit cost) / unit cost] x 100
the total markup % = [49.60 - 33.60) / 33.60] x 100 = 47.62%
but since we are going to calculate the markup percentage solely based on variable costs, then:
variable cost per unit = $31
selling price = $49.60
the variable markup % = [49.60 - 31) / 31] x 100 = 60%
Your parents will retire in 27 years. They currently have $280,000 saved, and they think they will need $1,900,000 at retirement. What annual interest rate must they earn to reach their goal, assuming they don't save any additional funds? Round your answer to two decimal places.
Answer:
Annual Rate=7.35%
Explanation:
Calculation for the annual interest rate must they earn to reach their goal
Number of years =27
PV =280,000
FV =1,900,000
Using this formula
Annual Rate=(FV/PV)^(1/n)-1
Let plug in the formula
Annual Rate=(1,900,000/280,000)^(1/27)-1
Annual Rate=6.7857^(1/27)-1
Annual Rate=1.07349-1
Annual Rate=0.0735
Annual Rate=7.35%
Therefore the annual interest rate must they earn to reach their goal will be 7.35%
Sampson Industries has an annual plant capacity of 70,000 units; current production is 59,000 units per year. At the current production volume, the variable cost per unit is $26.00 and the fixed cost per unit is $4.80. The normal selling price of Sampson's product is $41.00 per unit. Sampson has been asked by Caldwell Company to fill a special order for 7,000 units of the product at a special sales price of $20.00 per unit. Caldwell is located in a foreign country where Sampson does not currently operate. Caldwell will market the units in its country under its own brand name, so the special order is not expected to have any effect on Sampson's regular sales. Read the requirementsLOADING.... Requirement 1. How would accepting the special order impact Sampson's operating income? Should Sampson accept the special order? Complete the following incremental analysis to determine the impact on Sampson's operating income if it accepts this special order. (Enter a "0" for any zero balances. Use parentheses or a minus sign to indicate a decrease in contribution margin and/or operating income from the special order.) Incremental Analysis of Special Sales Order Decision Total Order (7,000 units) Revenue from special order $140,000 Less expenses associated with the order: Less: Variable manufacturing cost 182,000 Contribution margin $(42,000) Less: Additional fixed expenses associated with the order – Increase (decrease) in operating income from the special order
Answer:
Sampson Industries
1. How would accepting the special order impact Sampson's operating income?
The acceptance of the special order will decrease Sampson's operating income by $42,000.
2. Should Sampson accept the special order?
No. Sampson should not accept the special order. It does not make any contribution in reducing the fixed costs. Instead, it decreases the net income. Special orders should be accepted when they add to the contribution in defraying the fixed costs, even if they do not add to the net income.
Explanation:
a) Data and Calculations:
Annual plant capacity = 70,000 units
Current production = 59,000
Variable cost per unit = $26.00
Fixed cost per unit = $4.80
Normal Selling price per unit = $41
Special order = 70,000
Price of special order = $20
Incremental Analysis of Special Sales Order Decision
Total Order (7,000 units)
Revenue from special order $140,000
Less expenses associated with the order:
Less: Variable manufacturing cost 182,000
Contribution margin $(42,000)
Less: Additional fixed expenses associated with the order –
Increase (decrease) in operating income from the special order ($42,000)
Joe Jones, Inc. has a beta of .85. The risk-free rate is 5% and the expected rate of return on the market portfolio is 10%. a. Compute the required return for Joe Jones using the security market line (SML) equation.
Answer: 9.25%
Explanation:
Risk free rate, Rf = 5% = 0.05
We then subtract the risk free rate of 5% from the expected date of return on market portfolio of 10%. This will be:
= 10% - 5% = 5%
Beta = 0.85
Required return will now be:
= Rf + (Rm-Rf) x Beta
= 5% + (5% × 0.85)
= 5% + 4.25%
= 9.25%
Clark Company estimated the net realizable value of its accounts receivable as of December 31, 2019, to be $167,000, based on an aging schedule of accounts receivable. Clark has also provided the following information: The accounts receivable balance on December 31, 2019 was $177,400. Uncollectible accounts receivable written off during 2019 totaled $12,200. The allowance for doubtful accounts balance on January 1, 2019 was $15,400. How much is Clark's 2019 bad debt expense
Answer: $7200
Explanation:
Clark's 2019 bad debt expense will be calculated thus:
Balance for allowance for doubtful accounts will be:
= $177400 - $167000
= $10400
The Uncollectible accounts written off will be:
= $15400 - $12200
= $3200
Clark's 2019 bad debt expense:
= $10400 - $3200
= $7200
Answer:
sry need to answer (points) :(
Explanation:
Crador Corp. uses a process costing system in which direct materials are added at the beginning of the process and conversion costs are incurred uniformly throughout the process. Beginning inventory for January consisted of 1,100 units. 14,000 units were started into the process during January. On January 31, the inventory consisted of 800 units. Equivalent units for conversion costs were 14,800. What percentage complete was the ending inventory with respect to conversion costs on January 31 using the weighted-average method
Answer: 62.5%
Explanation:
Equivalent units = Units completed and transferred out + percentage completed of ending inventory
14,800 = (1,100 + 14,000 - 800) + Percentage
14,800 = 14,300 + Percentage amount completed
Percentage amount completed = 14,800 - 14,300
Percentage amount completed = 500 units
Percentage = Ending equivalent units / ending inventory
= (500/800) * 100
= 62.5%
You’ve borrowed $26,838 on margin to buy shares in Company BBYT, which is now selling at $42.6 per share. You invest 1,260 shares. Your account starts at the initial margin requirement of 50%. The maintenance margin is 35%. At what price will you receive a margin call?
Answer:
the price that received a margin call is $32.77
Explanation:
The computation of the price that received a margin call is shown below:
= Borrowed amount ÷(Number of shares - ( Number of shares × Maintenance margin %))
= $26,838 ÷ (1,260 shares - (1,260 × 35%))
= $32.77
Hence, the price that received a margin call is $32.77
We simply applied the above formula and the same is to be considered
West Side Corporation is expected to pay the following dividends over the next four years: $16, $12, $11, and $7.50. Afterward, the company pledges to maintain a constant 6 percent growth rate in dividends forever. If the required return on the stock is 16 percent, what is the current share price?
a. $63.27.
b. $61.40.
c. $68.82.
d. $65.17.
e. $60.11.
Answer:
$77.81
Explanation:
We are given that West Side Corporation is expected to pay the following dividends over the next four years: $16, $12, $11, and $7.50.
Required rate - 16%
Growth rate = 6%
We are supposed to find the current share price
Formula :[tex]P_0=\sum_{t=0}^{T}\frac{D_T}{(1+r)^t}+\frac{D_{T+1}}{r-G}(1+r)^{-T}[/tex]
D = Dividends
t = time
r = required rate
G= Growth rate
Substitute the values in formula :
[tex]P_0=\frac{16}{(1+0.16)^1}+\frac{12}{(1+0.16)^2}+\frac{11}{(1+0.16)^3}+\frac{7.50}{(1+0.16)^4}+\frac{7.50(1+0.06)}{0.16-0.06}(1+0.16)^{-4}\\P_0=77.81\\[/tex]
CDB stock is currently priced at $85. The company will pay a dividend of $5.69 next year and investors require a return of 11.6 percent on similar stocks. What is the dividend growth rate on this stock?
Answer:
4.91%
Explanation:
CDB stock is currently priced at $85
The company will pay a dividend of $5.69
The required return is 11.6%
There for the dividend growth rate on this stock can be calculated as follows
11.6/100= (5.69/85) + growth rate
0.116= 0.0669 + growth rate
0.116 - 0.0669 = growth rate
0.0491 × 100 = growth rate
Growth rate = 4.91%
Bronski Corporation manufactures two products, Simple and Complex. The following information was gathered: Simple Complex Selling price per unit $37.00 $26.00 Variable cost per unit $32.00 $22.00 Total fixed costs are $18,000. Assume demand for either product exceeds the factory's capacity. It takes one hour of production time to make Simple and two hours to make Complex. The annual capacity of the plant is 10,000 hours. How many units of Simple and Complex should Bronski Corporation produce and sell to maximize profits
Answer:
The answer is "Option A".
Explanation:
Please find the correct question and its solution file.
A machine with a cost of $150,000 and accumulated depreciation of $95,000 is sold for $70,000 cash. The amount that should be reported in the operating activities section reported under the direct method is:
Answer:
$0
Explanation:
The operating activities section of the cash flow statement under the direct method records the cash receipts with regard to sale of the products and the cash payments with regard to expenses
Therefore in the given case, it would be $0 as there is no transaction occured that should be reported in the operating activities section of the cash flow statement
The same is to be considered
For an effective frame, the primary business message should be approximately ______ words in length.
Answer:
10 to 15
Explanation:
Business messaging in accounting can be described as a set of channels that provide means by which the firms/ company and the consumer can have effective communication.
The primary business message is very essential in business, it must reflect clarity as well as simplicity, it enables company to pass their overarching information to the consumer, they are intentional content. In a situation whereby operations in a company needed relocation, primary message is passed. It should be noted that For an effective frame, the primary business message should be approximately 10 to 15 words in length.
Hello!
For an effective frame, the primary business message should be approximately 10 to 15 words in length.
"Should Dillard's keep its excellent department store credit card program? ______ Yes ______ No" is an example of _____.
Answer:
The answer is "making assumptions"
Explanation:
The making assumption is determined if it can't be provided to claim which is not confirmed unless the argument is one, which you or the writer could show if they tried, users must decide. It requires as a considering as thinks about both the subject so on that basis evaluating the statement.
It is the one way the mind saves power becomes to find patterns in how the environment functions, that draw from our previous history. It adopts such trends, or beliefs, to the current world when we experience new circumstances. Its approach saves us the power to evaluate the condition entirely fresh.a. How much would you pay for a Treasury bill that matures in 182 days and pays $10,000 if you require a 1.8% discount rate?
b. If the Treasury also received $750 million in non-competitive bids, who will receive T-bills, in what quantity, and at what price?
Answer: $9909
Explanation:
Let the amount that will be paid be represented by y. The question can now be solved as:
(10000 - y)/10000 × 360/182 = 0.018
(10000-y)/10000 = 0.018 × 182/360
(10000 - y)/10000 = 0.0091
10000-y = 0.0091 × 10000
10000 - y = 91
y = 10000 - 91
y = $9909
Lambda Computer Products competed for and won a contract to produce two prototype units of a new type of computer that is based on laser optics rather than on electronic binary bits. The first unit produced by Lambda took 5,000 hours to produce and required $250,000 worth of material, equipment usage, and supplies. The second unit took 4,250 hours and used $237,500 worth of materials, equipment usage, and supplies. Labor is $20 per hour. Use Exhibit 6.5. a. Lambda was asked to present a bid for 10 additional units as soon as the second unit was completed. Production would start immediately. What would this bid be
Answer:
$2,731,672.50
Explanation:
first unit produced by lambda took 5,000 hours to produce and required $250,000 worth of material, equipment usage, and supplies
the second unit took 4,250 hours and used $238,500 worth of materials, equipment usage, and supplies
learning rate = time needed to produce second unit / time needed to produce first unit = 4,250 hours / 5,000 hours = 85%
materials and equipment usage rate = $237,500 / $250,000 = 95%
using the attached table of cumulative values, we can determine the cumulative improvement factors needed to solve this question:
Lambda's accumulated cost for producing 10 more computers
work hours = 4,250 x 7.116 (85% and 10 units) x $20 per hour = $604,860materials and equipment = $238,500 x 8.955 (95% and 10 units) = $2,126,812.50total = $604,860 + $2,126,812.50 = $2,731,672.50A company has a pension liability of $460,000,000 that it must pay in 29 in years. If it can earn an annual interest rate of 4.2 percent, how much must it deposit today to fund this liability?
a. $133,883,255.09
b. $139,506.351.81
c. 44,08571.14
d. $11755.30770
e. $121423,867.90
Answer:
PV= $139,506,351.8
Explanation:
Giving the following information:
Future Value= $460,000,0000
Number of periods= 29 years
Interest rate= 4.2%
To calculate the initial investment, we need to use the following formula:
PV= FV / (1+i)^n
PV= 460,000,000 / (1.042^29)
PV= $139,506,351.8
Type the correct answer in the box. Spell all words correctly. Who plans, codes, and creates web pages? plan, code, and create web pages.
Answer:
Web Developer
Explanation:
Usually, it is a team of experienced individuals that come together to come up with a web page design and make it a reality. This includes designing, planning, coding, and implementing. Usually, these individuals have a general job title of Web Developer. Within this job title, the individuals are usually split up into different subcategories that focus on specific aspects such as Front-End Web designer, Back-End developer, Web Server Management, etc. Each of these focuses on a specific aspect of the webpage, usually due to having more experience with that part of the development process.
Answer:
web developers
Explanation:
just took the test on plato
How do prevention and resistance technologies stop intruders from accessing and reading sensitive information?A) Content filtering,encryption,and firewallsB) Calculating,locking,and firewallsC) Content prohibiting,and cookiesD) None of the above
Answer: A. Content filtering, encryption and firewalls.
Explanation:
Due to fraud and other security challenges, prevention and resistance technologies are important in order to help computer and internet users to protect their informations.
Ways to achieve this include content filtering, encryption and firewalls. Content filtering is when the access to a particular web content is restricted. Encryption has to do with the translation of data into another form so that it won't be accessible to anyone without the password. Firewall is also done on order to curb unauthorized access.
A year after buying her car, Anita has been offered a job in Europe. Her car loan is for $27,000 at a 6% nominal interest rate for 48 months. If she can sell the car for $20,000, how much does she get to keep after paying off the loan
Answer:
Instead of keeping a balance she would rather need to pay the remaining mortgage balance of $843.51
Explanation:
The first task here is to compute the monthly payment of the car loan using the formula below:
PMT=P(r/n)/1-(1+r/n)^(-nt)
P=loan amount= $27,000
r=interest rate=6 %
n=number of monthly payments in a year=12
t= duration of loan=4 years ( 48/12)
PMT=27000*(6%/12)/(1-(1+6%/12)^(-4*12)
PMT=27000*(6%/12)/(1-(1+6%/12)^(-48)
PMT=27000*(6%/12)/(1-(1.005)^-48
PMT=135 /(1-0.787098411 )
PMT=634.10
The balance of the loan after one year is the present value of the remaining 36 monthly payments as computed thus:
PV=monthly payment*(1-(1+r)^-n/r
monthly payment=634.10
r=monthly interest rate=6%/12=0.5%
n=number of monthly payments left=36
PV=634.10*(1-(1+0.5%)^-36/0.5%
PV=634.10*(1-0.835644919 )/0.5%
pv=$20,843.51
balance left after paying the loan=$20,000-$20,843.51 =-$843.51
The firm has just declared a dividend of $1.09 per share for the current fiscal year. The firm has earnings per share of $2.11, and 225,000 shares outstanding with a market price of $31.17 per share prior to the ex-dividend day. Ignore taxes. As a result of this dividend, the: A) the current dividend yield is 51.66% B) retained earnings will increase by $245,250. C) the current dividend payout ratio is 3.497% D) earnings per share will increase to $3.20. E) price-earnings ratio will be 14.26 ex-dividend.
Answer: E) price-earnings ratio will be 14.26 ex-dividend.
Explanation:
Stock prices generally decrease in price by the price of the dividend on ex-dividend date.
This means that this stock will reduce to:
= 31.17 - 1.09
= $30.08
Price to Earnings ratio = Stock price/ Earnings per share
= 30.08/2.11
= $14.26
Option E is correct.
Ford Motor Company has issued 8% convertible debentures, convertible at a 25:1 ratio. Currently the debenture is trading at 110. The stock is trading at 38. What is the conversion price of the stock
Answer:
40
Explanation:
Calculation for the conversion price
Based on the information given we were told that the company's convertible ratio is 25:1 which simply means that 1,000 par will be divided by the covertible ratio .
Hence,
Conversion price of the stock = 1,000/25
Conversion price of the stock = 40
Therefore the Conversion price of the stock will be 40
suppose you want to open a shoe company sugges names for this
Answer:
New Kick
Boundless
Brave Sole
Laced
An investment offers $9,200 per year for 17 years, with the first payment occurring 1 year from now. Assume the required return is 12 percent. Requirement 1: What is the value of the investment today? (Enter rounded answer as directed, but do not use rounded numbers in intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).) Present value $ Requirement 2: What would the value be if the payments occurred for 42 years? (Enter rounded answer as directed, but do not use rounded numbers in intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).) Present value $ Requirement 3: What would the value be if the payments occurred for 77 years? (Enter rounded answer as directed, but do not use rounded numbers in intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).) Present value $ Requirement 4: What would the value be if the payments occurred forever? (Enter rounded answer as directed, but do not use rounded numbers in intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).) Present value $
Answer:
1.
Present value = $65500.60053 rounded off to $65500.60
2.
Present value = $76009.84174 rounded off to $76009.84
3.
Present value = $76654.22671 rounded off to $76654.23
4.
PV of perpetuity = $76666.66667 rounded off to $76666.67
Explanation:
The payments from the investment can be classified as being an ordinary annuity as the payments made by the investment offer are of constant amount and occur at the end of the period, occur after equal intervals of time and are for a defined and finite time period except for the payments made in case of requirement 4. The formula to calculate the present value of annuity that will be used in requirement 1, 2 and 3 is attached.
1.
Present value = 9200 * [(1 - (1 + 0.12)^-17) / 0.12]
Present value = $65500.60053 rounded off to $65500.60
2.
Present value = 9200 * [(1 - (1 + 0.12)^-42) / 0.12]
Present value = $76009.84174 rounded off to $76009.84
3.
Present value = 9200 * [(1 - (1 + 0.12)^-77) / 0.12]
Present value = $76654.22671 rounded off to $76654.23
4.
If the payments occur for an infinite period of time, they can be classified as a perpetuity.
The formula to calculate the present value of perpetuity is as follows,
PV of perpetuity = Cash Flow / r
Where,
r is the required rate of return or discount rate
PV of perpetuity = 9200 / 0.12
PV of perpetuity = $76666.66667 rounded off to $76666.67
Jessica and Robert have two young children. They have $7,000 of qualified child care expenses and an AGI of $22,000 in 2019. What is their allowable child and dependent care credit considering their pre-credit tax liability
Answer:
$0
Explanation:
The computation of the their allowable child and dependent care credit is shown below:
In the case when the income is below $35,000 than full 35% would be allowed
But the qualified child expense would be limited to $6,000
So, here the amount would be
= $6,000 × 35%
= $1,860
Already there is a pre credit tax liability so $0 should be considered as it would not received any credit
paid to acquire , a weekly advertising paper. At the time of the acquisition, 's balance sheet reported total assets of and liabilities of . The fair market value of 's assets was . The fair market value of 's liabilities was . Read the requirementsLOADING.... Requirement 1. How much goodwill did purchase as part of the acquisition of ? Purchase price to acquire Mesa Herald Market value of Mesa Herald's assets Less: Market value of Mesa Herald's liabilities Less: Market value of Mesa Herald's net assets
Full question attached
Answer and Explanation:
A. Given that Thrifty Nickels Assets fair value and liabilities are given by $100000 and $70000 respectively(we do not use the book value in calculating goodwill here) and Acquisition value is $230000
Goodwill = purchase price -net assets
Since we know purchase price =$230000
We calculate net assets= total assets -total liabilities
Total assets =$100000
Total liabilities =$70000
Net assets=$100000-$70000=$30000
We substitute in goodwill formula
Goodwill=$230000-$30000=$200000
Therefore goodwill =$200000
B. We journalize entries for the acquisition in Deca's books as follows :
Debit Assets $100000
Debit Goodwill $200000
Credit liabilities $70000
Credit cash $230000
We debit assets since it received and increased by $100000,we debit goodwill since it also received and increased by $200000. We credit liabilities since it also increased by $70000 from the acquisition (liabilities accounts are credited). Cash was spent and therefore is credited since it reduced by $230000
On January 1, 2016, Brian's stock portfolio is worth $100,000. On September 30, 2016, $5,000 is withdrawn from the portfolio, and immediately after this withdrawal the portfolio has a value of $105,000. Twelve months later, the value of the portfolio is $108,000, and Brian adds $3,000 worth of stock to his portfolio. On December 31, 2017, the portfolio is worth $100,000. What is the time-weighted rate of return for Brian's stock portfolio over the two year period
Answer:
1.93%
Explanation:
The time weighted rate of return will be computed by combining the return at every time period demarcated by a withdrawal/addition.
Time 1: Jan 1, 2016 to Sep 30, 2016
start value = 100,000; end value = (105,000+5,000) = 110,000
Return = [tex]\frac{110,000}{100,000}=1.1[/tex]
Time 2: Sep 30, 2016 to Sep 30, 2017
start value = 105,000; end value = 108,000
Return = [tex]\frac{108,000}{105,000}=1.028571[/tex]
Time 3: Sep 30, 2017 to Dec 31, 2017
start value = (108,000 + 3,000) = 111,000; end value = 100,000
Return = [tex]\frac{100,000}{111,000}=0.900901[/tex].
Therefore, time weighted return
= (1.1 * 1.028571 * 0.900901) - 1
= 0.019305
= 1.93%.
An investor plans to divide $200,000 between two investments. The first yields a certain profit of 10%, whereas the second yields a profit with expected value 18% and standard deviation 6%. If the investor divides the money equally between these two investments, find the mean and standard deviation of the total profit.
Answer:
mean = 14%; standard deviation = 3%
Explanation:
We treat the combined investment as a portfolio, with 50% each of the portfolio size invested in each asset.
Asset A: return (r) = 10%; standard deviation (s) = 0
Asset B: return (r) = 18%; standard deviation (s) = 6%
Portfolio mean (R) =
[tex](w_{1}*r_{1})+(w_{2}*r_{2})\\=(0.5*0.1)+(0.5*0.18)\\=0.05+0.09\\=0.14[/tex]
Therefore, portfolio mean = 14%.
Portfolio standard deviation (S) = [tex][(w_{1}^{2}*s_{1}^{2})+(w_{2}^{2}*s_{2}^{2})+(2w_{1} w_{2}COV_{12} )]^{\frac{1}{2}}[/tex]
Since no information was given about portfolio covariance, we will assume it is zero.
[tex]S=[(w_{1}^{2}*s_{1}^{2})+(w_{2}^{2}*s_{2}^{2})]^{\frac{1}{2}}\\=[(0.5^{2} *0^{2} )+(0.5^{2} *0.06^{2} )]\\=0.25*0.0036\\=0.03[/tex]
Therefore, portfolio standard deviation = 3%.
Space Fuel Inc. is considering establishing a new propellant depot to provide space vehicles a refueling point in their trek to Mars. If placed in a LaGrange point, the depot could save $50,000K annually. The depot can be constructed for $200,000K today and will be used for a period of 10 years. It has a salvage value of $10,000K at the end of its useful life. The new depot will require an annual maintenance cost of $9,000K. Capital financing is available at 4.78% per semiannual period compounded monthly. Find the present worth.
Answer:
NPV = $55,894.45
Explanation:
the initial outlay of the project is $200,000
the salvage value is $10,000
useful life 10 years
annual costs $9,000
annual savings $50,000
luckily there are no taxes in space
we must determine the effective interest rate in order to be able to discount the future cash flows
(1 + 0.0478/6)¹² - 1 = 9.99%
the net cash flow per year (for years 1 - 9) = $50,000 - $9,000 = $41,000
net cash flow for year 10 = $41,000 + $10,000 = $51,000
using a financial calculator, the NPV = $55,894.45