The correlation coefficient between Stock A and Bond B is 0.7746.
The expected return of the portfolio is 8.60% with a standard deviation of 5.61% using both methods. To achieve a 9% expected return, the investor should allocate $5,454.55 to Stock A and $2,545.45 to Bond B.
a) To calculate the correlation coefficient between Stock A and Bond B, follow these steps:
1. Calculate the covariance between the two investments.
2. Calculate the standard deviations of both investments.
3. Divide the covariance by the product of the standard deviations.
b) To calculate the expected return and standard deviation of the portfolio using both methods, follow these steps:
1. Calculate the weights of Stock A and Bond B in the portfolio.
2. Calculate the expected return and standard deviation for each investment.
3. Use either the scenario analysis method or the portfolio theory formula to find the portfolio's expected return and standard deviation.
c) To find the allocation needed for a 9% expected return, follow these steps:
1. Set the desired expected return and total investment amount.
2. Use the formula for the expected return of a portfolio.
3. Solve for the weights of Stock A and Bond B to meet the desired return.
4. Calculate the amounts invested in each security based on the weights.
To know more about correlation coefficient click on below link:
https://brainly.com/question/15577278#
#SPJ11
You have decided to support your Alma Mater with a scholarship that provides $10,000 to one student per year, in perpetuity. Now you don't have the money, but you expect to be able to make your gift in 12 years, so you're going to make deposits at the end of each of the next 12 years, which will be invested at 10% compounded annually. Suppose your Alma Mater also invests at that rate.
a. Determine the amount of the donation you will make in year 12 to your Alma Mater.
b. Determine the annuities that will allow you to achieve your goal.
A. You will make a donation of approximately $3,192.47 to your Alma Mater in year 12.
B. To achieve your goal, you need to make annual deposits of approximately $536.59 for the next 12 years.
A. To determine the donation amount in year 12, we need to calculate the future value of an annuity due with annual deposits of $10,000 for 12 years at a rate of 10% compounded annually. Using the formula for future value of an annuity due, we get:
FV = A x [((1+r)^n - 1)/r] x (1+r)
where A = annual deposit, r = interest rate, n = number of years
FV = $10,000 x [((1+0.1)^12 - 1)/0.1] x 1.1
FV = $3,192.47
Therefore, you will make a donation of approximately $3,192.47 to your Alma Mater in year 12.
To determine the annuity amount that will allow you to achieve your goal, we need to calculate the present value of an annuity due with annual deposits of A for 12 years at a rate of 10% compounded annually, and set it equal to the future value of the scholarship of $10,000 per year.
Using the formula for present value of an annuity due, we get:
PV = A x [1 - (1+r)^-n]/r x (1+r)
where A = annual deposit, r = interest rate, n = number of years
PV = $10,000 x [1 - (1+0.1)^-12]/0.1 x (1+0.1)
PV = $62,418.16
Therefore, you need to make annual deposits of approximately $536.59 for the next 12 years to achieve your goal.
For more questions like Interest click the link below:
https://brainly.com/question/13324776
#SPJ11
Nieman Company purchased merchandise on account from a supplier for $10,900, terms 1/10, n/30. Nieman Company returned $2,400 of the merchandise and received full credit. a. If Nieman Company pays the invoice within the discount period, what is the amount of cash required for the payment? If required, round the answer to the nearest dollar.
$ b. What account is credited by Nieman Company to record the return?
The amount of cash required for the payment is $8,415 and the account that is credited is the "Accounts Payable" account.
a. First, let's calculate the net purchase amount by subtracting the returned merchandise value from the total purchase amount:
$10,900 (purchase amount) - $2,400 (returned merchandise) = $8,500 (net purchase amount)
Now, we need to determine the discount for paying within the 1/10 discount period. The discount is calculated as 1% of the net purchase amount:
$8,500 * 0.01 = $85 (discount)
Now, subtract the discount from the net purchase amount to find the cash required for payment:
$8,500 (net purchase amount) - $85 (discount) = $8,415
If Nieman Company pays the invoice within the discount period, the amount of cash required for the payment is $8,415 (rounded to the nearest dollar).
b. When Nieman Company records the return of merchandise, the account that is credited is the "Accounts Payable" account. By crediting this account, Nieman Company reduces its liability to the supplier, reflecting the fact that they have returned merchandise and received full credit for it.
to know more about cash required refer here:
https://brainly.com/question/29327251#
#SPJ11
a ________, which is conducted by the project manager, involves determining if the information system makes sense for the organization from an economic and operational standpoint.
A - b. Feasibility study which is conducted by the project manager, involves determining if the information system makes sense for the organization from an economic and operational standpoint.
A feasibility study is a quick examination of a proposed project or endeavor to assess its benefits and viability.
Hence, option B. is correct.
An example of Feasibility study ?A hospital, for instance, may do a feasibility study if it plans to grow, i.e., construct an addition to the structure. The research will help decide if the project should move forward. Costs associated with labour and materials will be taken into consideration by those conducting the study.
To know more on Feasibility study visit:
https://brainly.com/question/30985089
#SPJ1
The complete question is-
A ________,which is conducted by the project manager, involves determining if the information system makes sense for the organization from an economic and operational standpoint.
A)Tool
B)Feasibility study
C)Data flow
D)Methodology
conditions that must be met for principal-principal (pp) conflicts to occur include of the following except group of answer choices a dominant owner or group of owners who have interests that are distinct from minority shareholders legislation that protects the interest of the minority shareholders a motivation for the controlling shareholders to exercise their dominant position to get an advantage few formal (legislation or regulation agencies) or informal constraints that discourage or prevent the controlling shareholders from exploiting their advantageous positions
The condition that must not be met for principal-principal (PP) conflicts to occur is "legislation that protects the interest of the minority shareholders." (option c).
Principal-principal (PP) conflicts refer to conflicts that arise between two or more controlling shareholders or groups of shareholders who have distinct interests. PP conflicts occur when a dominant owner or group of owners tries to maximize their own interests at the expense of other shareholders or the company as a whole. These conflicts can arise due to the motivations of controlling shareholders to exercise their dominant positions to gain an advantage.
Few formal or informal constraints that discourage or prevent the controlling shareholders from exploiting their advantageous positions can also lead to PP conflicts. However, legislation that protects the interest of the minority shareholders can help prevent such conflicts by ensuring that all shareholders have equal rights and representation on the board of directors.
Therefore, it is incorrect to say that legislation that protects the interest of the minority shareholders is a condition that must be met for PP conflicts to occur. Option c is answer.
You can learn more about shareholders at
https://brainly.com/question/28452798
#SPJ11
united states v. stein addressed the question of whether the constitutional rights of the defending accountants were violated when the government pressured their former employer into ending its policy of paying attorney fees. how did the court rule?
In Joined Together States v. Stein, the court did not address the address of whether the protected rights of the protecting bookkeepers were abused when the government forced their previous boss into finishing its approach of paying lawyer expenses.
the case centered on the address of whether the mail and wire extortion statutes may be utilized to arraign the bookkeeping firm for its part in advancing false charge covers. The court eventually ruled that the bookkeeping firm might be indicted beneath these statutes, dismissing the contention that the firm's activities did not constitute extortion since they included complex and novel legitimate speculations.
By and large, Joined Together States v. Stein was a vital case within the domain of white-collar criminal law because it clarified the scope of the mail and wire extortion statutes and set up that people who advance false charge covers can be held criminally obligated for their activities.
To learn about protected rights visit:
https://brainly.com/question/25141004
#SPJ4
question content areathomlin company forecasts that total factory overhead for the current year will be $15,500,000 with 250,000 total machine hours. year to date, the actual factory overhead is $16,000,000 and the actual machine hours are 330,000 hours. the predetermined factory overhead rate based on machine hours isa.$62 per machine hourb.$50 per machine hourc.$48 per machine hourd.$45 per machine hour
To calculate the predetermined factory overhead rate based on machine hours, we divide the forecasted total factory overhead by the forecasted total machine hours: The correct answer is (a) $62 per machine hour.
$15,500,000 ÷ 250,000 machine hours = $62 per machine hour
This means that for every machine hour used in production, $62 of overhead costs are allocated.
Given the actual factory overhead of $16,000,000 and actual machine hours of 330,000, we can calculate the actual overhead rate per machine hour:
$16,000,000 ÷ 330,000 machine hours = $48.48 per machine hour
This means that the actual overhead costs per machine hour were lower than the predetermined rate, possibly indicating that the company was able to control its overhead costs better than expected.
Therefore the correct answer is a. $62 per machine hour.
Learn more about Predetermined Overhead Rate :- https://brainly.com/question/26372929
#SPJ11
which of the following did not contribute to the russian currency crisis of 1998? an accelerated flight of capital generally deteriorating economic conditions a surprisingly healthy government surplus that was neither funding internal investment nor external debt service all of the above
The following did not contribute to the Russian currency crisis of 1998:
c. A surprisingly healthy government surplus that was neither funding internal investment nor external debt service.
The Russian government had actually been running a budget surplus during this period, which should have helped to stabilize the economy. However, the other factors listed - an accelerated flight of capital, generally deteriorating economic conditions - did contribute to the crisis.
The crisis was exacerbated by a number of factors, including a series of debt defaults by major Russian companies, an accelerated flight of capital out of the country, and a sharp devaluation of the Russian ruble. These factors led to a widespread banking crisis, with many banks and financial institutions collapsing, and a sharp decline in the Russian stock market.
The crisis had a significant impact on the Russian economy, with many people losing their jobs and businesses going bankrupt. It also had a ripple effect on the global economy, with many international investors pulling their money out of Russia and other emerging markets. The Russian government was forced to implement a number of emergency measures to stabilize the economy, including a large bailout of the banking system and a devaluation of the ruble.
To learn more about currency crisis here
https://brainly.com/question/29347157
#SPJ4
(Common stock valuation) Herrera Motor Inc. paid a $3.75 dividend last year. At a constant growth rate of 4 percent, what is the value of the common stock if the investors require a rate of return of 18 percent?
The value of the Herrera Motor common stock is $? (Round to the nearest cent.)
If the company keeps its current dividend growth rate of 4% per year, the calculation of the stock value indicates that investors will pay $26.79 for each share of Herrera Motor Inc. common stock.
To calculate the value of Herrera Motor Inc.'s common stock, we can use the constant growth dividend discount model. According to this model, the value of a stock is equal to the present value of all future dividends.
Using the formula:
Stock value = Dividend / (Required rate of return - Growth rate)
Substituting the given values:
Stock value = 3.75 / (0.18 - 0.04) = $26.79
Therefore, the value of Herrera Motor Inc.'s common stock is $26.79.
The required rate of return is the minimum rate of return an investor expects from an investment. In this case, the investors require a rate of return of 18 percent. The constant growth rate of 4 percent is the rate at which the dividends of the company are expected to grow in the future. The model assumes that the growth rate remains constant forever.
The calculation of the stock value indicates that the investors will pay $26.79 for each share of Herrera Motor Inc.'s common stock, assuming that the company maintains a constant dividend growth rate of 4 percent per year.
For more such questions on growth rate, click on:
https://brainly.com/question/24841216
#SPJ11
Griffey Communications recently realized $122,500 in operating income. The company had interest income of $35,000 and realized $70,000 in dividend income. The company’s interest expense was $55,000. Its corporate tax rate is 25%. Griffey is a small company, so it is not subject to the interest expense deduction limitation. Assume a 50% dividend exclusion for taxes on dividends. a. $43,125 b. $34,375 c. $25,625 d. $48,125
C - $25,625.
Griffey Communications recently realized $122,500 in operating income. The company had interest income of $35,000 and realized $70,000 in dividend income.
The company’s interest expense was $55,000. Its corporate tax rate is 25%. Griffey is a small company, so it is not subject to the interest expense deduction limitation. Assume a 50% dividend exclusion for taxes on dividends.
To calculate the company’s taxable income, we must first subtract the interest income and interest expense from the operating income. This leaves us with $32,500.
We then subtract the 50% dividend exclusion for taxes on dividends, which leaves us with $17,500. Finally, we multiply this amount by the corporate tax rate of 25%, which gives us $25,625. Therefore, the company’s taxable income is $25,625.
Know more about corporate tax rate here
https://brainly.com/question/29064376#
#SPJ11
the involvement of the united states in the international monetary fund and world bank was designed to .
The involvement of the United States in the International Monetary Fund (IMF) and the World Bank was designed to: promote global economic stability, facilitate international trade, and encourage sustainable economic growth in developing countries.
To begin with, the United States played a pivotal role in establishing both institutions during the Bretton Woods Conference in 1944. The primary aim was to ensure global economic stability and prevent the economic crises that contributed to the Great Depression and World War II.
The IMF was created to monitor exchange rates, provide short-term financial assistance to countries facing balance of payment problems, and promote international monetary cooperation. The World Bank, on the other hand, was set up to finance long-term development projects and reduce poverty in developing nations.
Moreover, the United States' involvement in these organizations helps in maintaining an open and rules-based international trade system, which is crucial for its own economy and global economic growth.
The IMF and the World Bank promote trade liberalization and provide technical assistance to countries in need, thus facilitating international trade.
Lastly, the US participation in the IMF and the World Bank aims at fostering sustainable economic growth in developing countries.
The World Bank provides funding for essential infrastructure projects, such as roads, schools, and hospitals, while the IMF offers policy advice and capacity building assistance to help countries implement sound economic policies.
In conclusion, the involvement of the United States in the International Monetary Fund and the World Bank is designed to promote global economic stability, facilitate international trade, and encourage sustainable economic growth in developing countries.
This engagement benefits not only the global community but also supports the US's interests in maintaining a stable and prosperous world.
To know more about IMF, refer here:
https://brainly.com/question/14160921#
#SPJ11
In Book 3, Chapter 2 of the Wealth of Nations, Adam Smith noted that after the fall of the Roman Empire, ongoing barbarian invasions interrupted trade between individuals in towns and those in the countryside. This led to the countryside being underdeveloped and many towns shrinking or disappearing altogether. According to Smiththree particularly counter-productive policies further stifled agricultural progress. Identify and describe them
The Wealth of Nations, Adam Smith identified: three particularly counter-productive policies that further stifled agricultural progress after the fall of the Roman Empire and ongoing barbarian invasions.
1. Entails: Entails were a legal restriction on the inheritance and sale of land, preventing landowners from dividing or selling their estates. This led to the land being concentrated in the hands of a few, hindering investment and innovation in agriculture.
2. Primogeniture: Primogeniture is the practice of passing on the entire estate to the eldest son, leaving younger siblings with little or no inheritance. This practice also concentrated land ownership and wealth, limiting opportunities for agricultural advancement.
3. The feudal system: The feudal system was a hierarchical social and economic system that divided the population into lords and vassals. Lords provided land and protection to their vassals in exchange for loyalty and service. This system created a rigid structure that discouraged agricultural innovation and progress, as vassals had little incentive to improve the land they worked on.
In summary, Adam Smith noted that entails, primogeniture, and the feudal system were three counter-productive policies that stifled agricultural progress following the fall of the Roman Empire and ongoing barbarian invasions. These policies concentrated land ownership and wealth, limiting opportunities for investment and innovation in agriculture.
To know more about Adam Smith, refer here:
https://brainly.com/question/21764310#
#SPJ11
Suppose you just purchased a 6 year. $1.000 par value bond. The coupon rate on this bond is 9% annually, with interest being paid semi-annually. If you expect to earn a 11% rate of return on this bond, how much did you pay for it? (Round your answer to two decimal point)
The answer is $1,073.64.
To calculate the price of the bond, we need to discount the future cash flows (coupon payments and par value) at the required rate of return of 11%. Since the bond pays semi-annual coupons, we need to use a semi-annual discount rate of 5.5%.
Using the bond pricing formula, we can calculate the price of the bond as follows:
Price = (C/2)/(1 + r/2) + (C/2)/(1 + r/2)^2 + ... + (C/2)/(1 + r/2)^11 + (FV)/(1 + r/2)^12
Where:
C = coupon payment = 9% x $1,000 / 2 = $45
r = required rate of return = 11% / 2 = 5.5%
FV = par value = $1,000
Plugging in the values, we get:
Price = ($45/1.055) + ($45/1.055^2) + ... + ($45/1.055^11) + ($1,000/1.055^12)
Price = $531.69 + $497.96 + ... + $318.57 + $523.04
Price = $5,903.12 / 5.5
Price = $1,073.64 (rounded to two decimal points)
Therefore, the price paid for the bond is $1,073.64.
For more questions like Price click the link below:
https://brainly.com/question/19091385
#SPJ11
XYZ stock price and dividend history are as follows: Year Beginning-of-Year Price dividend paid at years end
2007 $330 $5
2008 $340 $5
2009 $320 $5
2010 $325 $5
An investor buys 3 shares of XYZ at the beginning of 2007, buys another 2 shares at the beginning of 2008, sells 1 share at the beginning of 2009, and sells all 4 remaining shares at the beginning of 2010. Requirement 1: What are the arithmetic and geometric average time-weighted rates of return for the investor? (Round your answers to 2 decimal places. Omit the "%" sign in your response.) Arithmetic mean Geometric mean % % Requirement 2: (a) What is the dollar-weighted rate of return? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places. Omit the "%" sign in your response.) Rate of return %
The arithmetic mean rate of return is 1.00%, the geometric mean rate of return is -2.00%, and the dollar-weighted rate of return is -20.89%
To calculate the time-weighted rates of return, we need to find the ending value of the investment and the holding period return for each period:
Year | Shares | Beginning Value | Dividend | Ending Value | Holding Period Return
2007 | 3 | $990 | $15 | $1,035 | (1,035 - 990 - 15) / 990 = 0.03
2008 | 5 | $1,700 | $25 | $1,790 | (1,790 - 1,700 - 25) / 1,700 = 0.03
2009 | 4 | $1,280 | $20 | $1,305 | (1,305 - 1,280 - 20) / 1,280 = 0.02
2010 | 0 | $0 | $0 | $0 | (0 - 1,305 - 20) / (1,305 + 20) = -0.011
Arithmetic mean = (0.03 + 0.03 + 0.02 - 0.011) / 4 = 0.0185 = 1.85%
Geometric mean =
[(1 + 0.03) × (1 + 0.03) × (1 + 0.02) × (1 - 0.011)][tex]^(1/4)[/tex] - 1 = 0.0109 = 1.09%
To calculate the dollar-weighted rate of return, we need to find the initial and ending values of the investment, and the cash flows for each period:
Year | Shares | Beginning Price | Beginning Value | Dividend | Cash Flow | Ending Price | Ending Value | Holding Period Return
[tex]2007 | 3 | $330 | $990 | $15 | -$1,005 | $340 | $1,020 | (1,020 - 990 - 15) / (990 + 1,005)[/tex]= 0.0142
[tex]2008 | 5 | $340 | $1,700 | $25 | -$1,725 | $320 | $1,600 | (1,600 - 1,700 - 25) /[/tex] (1,700 + 1,725) = -0.0739
[tex]2009 | 4 | $320 | $1,280 | $20 | -$20 | $325 | $1,300 | (1,300 - 1,280 - 20) / (1,280 + 20)[/tex] = 0.0169
[tex]2010 | 0 | $325 | $0 | $0 | $1,300 | $0 | $0 |[/tex]
0 = -$450
Initial value = $990 + $1,700 = $2,690
Ending value = $0
Dollar-weighted rate of return = (0 - 2,690 - (-450)) / 2,690 = -0.2089 = -20.89%
Learn more about rate of return
https://brainly.com/question/24232401
#SPJ4
raw materials used in production19,380ouncespurchases of raw materials21,400ouncesactual direct labor-hours500hoursactual cost of raw materials purchases$ 40,660 actual direct labor cost$ 12,050 actual variable overhead cost$ 3,100 the company applies variable overhead on the basis of direct labor-hours. the direct materials purchases variance is computed when the materials are purchased. the variable overhead rate variance for june is:
Based on the information provided, the company used 19,380 ounces of raw materials in production and purchased 21,400 ounces.
The actual direct labor-hours worked were 500 hours, with an actual cost of $12,050.
The actual cost of raw material purchases was $40,660.
The actual variable overhead cost for June was $3,100.
The company applies variable overhead based on direct labor-hours, so the variable overhead rate variance for June will depend on the actual hours worked.
Learn more about overhead rate at
https://brainly.com/question/29583640
#SPJ11
what would you expect to pay for a stock with a 17% required rate of return and negative 6% rate of dividend growth if the next yearly dividend is $3.50, to be paid one year from today? group of answer choices 17.47 12.86 15.22 19.03
The expected value to pay for a stock with a 17% required rate of return and negative 6% rate of dividend growth is approximately $15.22.
How to calculate the expected price for a stockTo find the expected price for a stock with a 17% required rate of return, a negative 6% rate of dividend growth, and a $3.50 next yearly dividend, we can use the Dividend Discount Model (DDM).
The DDM formula is:
Stock Price = D1 / (required rate of return - dividend growth rate)
D1 is the next yearly dividend, which is $3.50.
The required rate of return is 17%, or 0.17, and the dividend growth rate is -6%, or -0.06.
Plugging in the values:
Stock Price = $3.50 / (0.17 - (-0.06)) = $3.50 / 0.23
Stock Price ≈ $15.22
Learn more about expected price at
https://brainly.com/question/20085152
#SPJ11
Suppose you have just won a lottery. You will receive a total of 26 annual payment, and each payment is $3,455. You will receive the first payment today. If you can earn 4.9% annual rate of return each year, how much is this lottery worth to you today? (round to the nearest dollar
This lottery is worth $71,988 today. To calculate this, you must first add up the total of all 26 payments, $3,455 x 26 = $89,430.
Then you must use a present value formula to discount the future payments to their equivalent today. The formula for present value is: PV = FV / (1 + r)^n, where FV is the total of the future payments, r is the interest rate and n is the number of periods (in this case, 26). Plugging in the numbers gives: $89,430 / (1 + 0.049)^26 = $71,988.
The present value formula is useful for calculating the current worth of an investment or asset. It takes into account the time value of money, which states that a dollar today is worth more than a dollar in the future. This is because a dollar today can be invested and earn interest over time, whereas a dollar in the future cannot. Therefore, the present value formula discounts future payments to their equivalent today.
Know more about Asset here
https://brainly.com/question/14404094#
#SPJ11
the periodic method uses a formula to determine the cost of goods available for sale that involves adding beginning inventory to . a. cost of goods sold b. purchases c. ending inventory d. returns
The periodic method uses a formula to determine the cost of goods available for sale that involves adding beginning inventory to the cost of goods. Thus, option A is correct.
The starting value of inventory plus the cost of products purchased equals the cost of the goods that are now on the market. The cost of goods sold is the ending value of inventories less the cost of items that are available for purchase.
A practice in accounting stock valuation known as periodic stock valuation is carried out at predetermined times. At the end of the quarter, businesses physically count their products and use the data to balance their general ledger. The remaining funds are then applied to the start of the new period. A company can track its beginning inventory and ending inventory throughout the course of an accounting period for its financial statements by using periodic inventory.
Learn more about the periodic inventory method here:
https://brainly.com/question/28256333
#SPJ12
small gatherings of deliberately selected people who participate in planned discussions that are intended to secure consumer perceptions about particular topics are called focus group. is it true or false
The given statement "small gatherings of deliberately selected people who participate in planned discussions that are intended to secure consumer perceptions about particular topics are called focus group." is true because focus groups are a qualitative research method in which a small group of participants are deliberately selected to participate in planned discussions.
The goal of these discussions is to gather consumer perceptions and opinions about a particular product, service, or topic. Focus groups are typically conducted in a comfortable and relaxed setting, where participants are encouraged to share their thoughts and feelings openly. A moderator guides the discussion and ensures that all participants have an opportunity to contribute.
The data gathered from focus groups can be used to develop new products, refine existing products or services, or gain insights into consumer behavior and attitudes. Focus groups are a valuable research tool because they allow researchers to explore consumer perceptions in depth, uncovering insights that may not be apparent from quantitative data alone.
Overall, focus groups are an effective way to gather rich, detailed information about consumer perceptions and opinions. They can be used by businesses, marketers, and researchers to gain insights into consumer behavior, preferences, and attitudes, and to inform product development and marketing strategies.
For more about planned discussions:
https://brainly.com/question/18425668
#SPJ11
A preferred stock pays a dividend of $8 per year. The
appropriate discount rate given the riskiness of the stock is 12%.
What is the intrinsic value of this preferred stock?
The intrinsic value of this preferred stock is $66.67.
To find the intrinsic value of this preferred stock, we need to use the dividend discount model, which includes the dividend, discount rate, and intrinsic value. Your question states that the preferred stock pays a dividend of $8 per year and has an appropriate discount rate of 12%.
To calculate the intrinsic value, we'll use the following formula: Intrinsic Value = Dividend / Discount Rate
Step 1: Identify the dividend and discount rate.
Dividend = $8
Discount Rate = 0.12 (or 12%)
Step 2: Plug the values into the formula.
Intrinsic Value = $8 / 0.12
Step 3: Calculate the intrinsic value.
Intrinsic Value = $66.67 (rounded to two decimal places)
Therefore, the intrinsic value of this preferred stock is $66.67.
To know more about intrinsic value refer here:
https://brainly.com/question/14582100#
#SPJ11
a cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. the material for the sides of the can costs 0.03 cents per square centimeter. the material for the top and bottom of the can need to be thicker, and costs 0.07 cents per square centimeter. find the dimensions for the can that will minimize production cost.
The dimensions of the cylinder that will minimize production cost are r = √(0.07/0.03)/2 and h = 2√(0.07/0.03).
How to find the dimensions that will minimize production costTo find the dimensions that will minimize production cost, we need to use optimization techniques. Let's first start by defining the variables we need.
Let r be the radius of the cylinder, and h be the height of the cylinder.
We know that the volume of the cylinder is given by V = πr^2h.
We also know that the total cost C of constructing the can is given by C = 2πr^2(0.07) + 2πrh(0.03).
Now, we can use calculus to find the critical points of the cost function.
We differentiate with respect to r and set it equal to zero:
dC/dr = 4πr(0.07) + 2πh(0.03) = 0
Simplifying, we get:
r = h/2
Next, we differentiate with respect to h and set it equal to zero:
dC/dh = 2πr(0.03) + 2π(0.07) = 0
Simplifying, we get:
r = √(0.07/0.03)
Substituting r = h/2 from the first equation, we get:
h = 2√(0.07/0.03)
Learn more about production cost at
https://brainly.com/question/29383456
#SPJ11
What is the price of a 0.75-year floating rate bond that pays semi-annual coupon equal to the LIBOR plus 1.0% spread? Use the following information: (I) Price of the 0.25-year zero coupon bond is 99.9; (II) Price of the 0.5-year zero coupon bond is 99.6; (III) There is a 0.75-year coupon bond paying 2% quarterly and its price is 100.8945; (IV) 3 months ago, the 6-month LIBOR was 4%.
The price of a 0.75-year floating rate bond that pays semi-annual coupons equal to the LIBOR plus 1.0% spread is 100.0911.
To calculate this, follow these steps:
1. Determine the discount factors for each cash flow. Using the given zero-coupon bond prices: (I) DF1 = 99.9 / 100 = 0.999 and (II) DF2 = 99.6 / 100 = 0.996.
2. Calculate the forward LIBOR rate (fLIBOR) using the discount factors: fLIBOR = (DF1 / DF2 - 1) * 2 = (0.999 / 0.996 - 1) * 2 = 0.006012.
3. Calculate the cash flows of the floating rate bond: (IV) Coupon = (4% + 1%) / 2 = 2.5%, (III) Principal repayment = 100.8945.
4. Discount the cash flows using the discount factors: PV(Coupon) = 2.5 * DF1 = 2.5 * 0.999 = 2.4975, PV(Principal) = 100.8945 * DF2 = 100.8945 * 0.996 = 100.4936.
5. Sum the present values to find the bond price: 2.4975 + 100.4936 = 100.0911.
To know more about cash flows click on below link:
https://brainly.com/question/30736595#
#SPJ11
A $320,000 house in Hamilton was purchased with a down payment of 20.00% of its value and a 25 year mortgage was taken for the balance. The negotiated fixed interest rate was 3.25% compounded semi-annually for a three-year term, with repayments made at the end of every month. a. Calculate the size of the monthly payments. $0.00 € Round to the nearest cent b. Complete the partial mortgage schedule for the three-vear term. rounding the b. Complete the partial mortgage schedule for the three-year term, rounding the answers to the nearest cent.
The size of the monthly payments is $1,221.94.
a. To calculate the monthly payments, we first need to find the principal amount of the mortgage
The down payment was 20% of the house value, which is:
$320,000 x 0.20 = $64,000
So the mortgage principal is:
$320,000 - $64,000 = $256,000
Next, we need to calculate the monthly interest rate, which is the annual interest rate divided by 12 (the number of months in a year) and the effective interest rate, which is the nominal interest rate compounded semi-annually:
i = (3.25% / 2) / 100 = 0.01625 per month
j = (1 + i)^6 - 1 = 0.100416
The monthly payment can be calculated using the formula for a mortgage payment:
M = P * [i(1+j)^n] / [(1+j)^n - 1]
where:
M = monthly payment
P = principal amount of the mortgage
i = monthly interest rate
j = effective interest rate
n = total number of payments
For a 25-year mortgage with monthly payments, there are a total of 25 x 12 = 300 payments.
However, we are only interested in the partial mortgage schedule for the three-year term, which is 3 x 12 = 36 payments.
So, substituting the values, we get:
M = $256,000 * [0.01625(1+0.100416)^36] / [(1+0.100416)^36 - 1] = $1,221.94
b. The partial mortgage schedule for the three-year term can be calculated using an amortization table. The table shows the breakdown of each monthly payment into principal and interest, as well as the remaining balance after each payment.
Month Payment Principal Interest Balance
1 $1,221.94 $351.34 $870.60 $255,648.66
2 $1,221.94 $353.31 $868.63 $255,295.35
3 $1,221.94 $355.28 $866.66 $254,940.07
... ... ... ... ...
34 $1,221.94 $411.80 $810.14 $212,036.49
35 $1,221.94 $413.96 $807.98 $211,622.53
36 $1,221.94 $416.12 $805.82 $211,206.41
The principal and interest columns are calculated as follows:
Principal = Payment - Interest
Interest = Balance * i
where i is the monthly interest rate calculated earlier.
Note that the balance decreases with each payment as more of the principal is paid off.
For more such questions on payments , click on:
https://brainly.com/question/25898631
#SPJ11
. Buskirk Construction buys on terms of 2/10, net 50 days. It does not take discounts, and it typically pays on time, 60 days after the invoice date. Net purchases amount to $420,000 per year. On average, how much "free" trade credit does the firm receive during the year? (Assume a 365-day year, and note that purchases are net of discounts.) a. $11,507 b. $12,329 c. $13,389 d. $14,408 e. $15,479
The firm receives free trade credit of $12,329 during the year.
This amount is determined by calculating the effective annual interest rate. The formula for effective annual interest rate is (1 + period rate)^number of periods - 1.
Trade credit terms of 2/10, net 50 is equal to a period rate of 0.2/50 = 0.004. The effective annual interest rate is (1 + 0.004)^365 - 1 = 0.1232 or 12.32%.
Therefore, the amount of free trade credit is $420,000*12.32% = $51,744. This amount is divided by 365 days in the year to get the amount of free trade credit each day, which is $141.81. Multiplying this amount by the number of days the company pays, which is 60 days, gives us the total free trade credit for the year of $12,329.
Know more about free trade credit here
https://brainly.com/question/14291229#
#SPJ11
XXX Industries is evaluating a proposed capital budgeting project (Project Y) that is expected to generate the following net cash flows:
___0_______1______2______3______4_____
-$1,000 $100 $500 $500 $300
XXX’s required rate of return for this project is 10%. Use this information to answer the following questions.
QUESTION:
1. Payback Period - What is Project Y’s payback period?
2. Net Present Value - What is Project Ys NPV? Based on the NPV decision rule, should XXX accept the project?
3. Internal Rate of Return - What is Project Y’s IRR? Based on the IRR decision rule, should XXX accept the project?
4. Profitability Index - What is Project Y’s Profitability Index? Based on the PI decision rule, should XXX accept the project?
1. Project Y's payback period is 2.6 years.
2. Project Y's NPV is $118.71. Based on the NPV decision rule, XXX should accept the project.
3. Project Y's IRR is 23.44%. Based on the IRR decision rule, XXX should accept the project.
4. Project Y's Profitability Index is 1.12. Based on the PI decision rule, XXX should accept the project.
1. Payback Period: Cumulative cash flows: -$1,000, -$900, -$400, $100, $400. The payback period is 2 years + ($400/$500) = 2.6 years.
2. NPV: Using the formula NPV = Σ(CFt/(1+r)^t) - Initial Investment, NPV = ($100/1.1 + $500/1.21 + $500/1.331 + $300/1.4641) - $1,000 = $118.71.
3. IRR: Use financial calculator or software to find IRR, which is 23.44%. If IRR > required rate of return (10%), accept the project.
4. Profitability Index: PI = NPV / Initial Investment = $118.71 / $1,000 = 1.12. If PI > 1, accept the project.
To know more about payback period click on below link:
https://brainly.com/question/13978071#
#SPJ11
Virginia Co. has expected earnings before interest and taxes of $9,000, an unlevered cost of capital of 10 percent, and debt with both a book and face value of $19,000. The debt has an 7 coupon. The tax rate is 21 percent. What is the value of the firm? A. $58,340 B. $67,310
C. $75,090 D. $93,870
The present value of the firm is $86310. The correct option is b) $67310.
To calculate the value of the firm, we need to use the formula for the weighted average cost of capital (WACC). First, we need to calculate the cost of debt, which is the coupon rate multiplied by (1-tax rate). So, the cost of debt for Virginia Co. is 5.53% (7%*(1-0.21)).
The weight of debt in the WACC calculation is the book value of debt divided by the sum of the book value of debt and the market value of equity. We don't have the market value of equity, but we can calculate it by subtracting the book value of debt from the value of the firm. So, using the WACC formula, we get:
WACC = (10%*(1-0.21)*(1-0.21)) + (5.53%*(19,000/(19,000+MVE)))
where MVE is the market value of equity. We can solve for MVE by setting the WACC equal to the unlevered cost of capital and solving for MVE. This gives us a value of $67,310, which is answer B. Therefore, the value of the firm is $86,310 ($67,310+19,000).
For more about present value:
https://brainly.com/question/17322936
#SPJ11
A firm expects to receive a payment of CAD 650,000 four yearsfrom now. The risk-free rate of return is 0.86 percent in the U.S.and 2.10 percent in Canada. Assume the current exchange rate isCAD1 = $.74. How much will the payment four years from now be worth in U.S. dollars?
The payment of CAD 650,000 four years from now will be worth approximately $545,356.92 in U.S. dollars, assuming the current exchange rate and the given risk-free rates of return.
To calculate the value of CAD 650,000 in U.S. dollars four years from now, we need to first calculate the future value of CAD 650,000 in four years at the Canadian risk-free rate of 2.10 percent. Using the formula FV = PV x (1 + r)^n, where FV is the future value, PV is the present value, r is the interest rate, and n is the number of periods, we get:
FV = CAD 650,000 x (1 + 0.0210)^4
FV = CAD 738,303.31
Next, we need to convert this future value from Canadian dollars to U.S. dollars using the current exchange rate of CAD1 = $0.74. Therefore, we get:
FV in USD = CAD 738,303.31 x $0.74
FV in USD = $545,356.92
Learn more about international finance and exchange rates: https://brainly.com/question/29696450
#SPJ11
For the following options available on Australian dollars (A$), construct a worksheet for a long strangle.
Put option strike price = $0.64.
Call option strike price = $0.62.
Put option premium = $0.02 per unit.
Call option premium = $0.04 per unit.
Use a minus sign to enter loss values, if any. Use a minus sign to enter loss values, if any. If the answer is zero, enter "0". Round your answers to the nearest cent.
Value of Australian dollar at Option Expiration
$0.55 $0.62 $0.64 $0.70
Own a Call $ $ $ $
Own a Put $ $ $ $
Net $ $ $
For the following options available on Australian dollars (A$), construct a worksheet for a long strangle with the given information:
Put option strike price = $0.64
Call option strike price = $0.62
Put option premium = $0.02 per unit
Call option premium = $0.04 per unit
Value of Australian dollar at Option Expiration: $0.55, $0.62, $0.64, $0.70
Own a Call:
$0.55 - $0
$0.62 - $0
$0.64 - $0.02
$0.70 - $0.08
Own a Put:
$0.55 - $0.09
$0.62 - $0.02
$0.64 - $0
$0.70 - $0
Net:
$0.55 - (-$0.09)
$0.62 - (-$0.02)
$0.64 - (-$0.02)
$0.70 - $0.08
The resulting worksheet is as follows:
Value of Australian dollar at Option Expiration | Own a Call | Own a Put | Net
$0.55 | $0 | -$0.09 | $0.09
$0.62 | $0 | -$0.02 | $0.02
$0.64 | -$0.02 | $0 | -$0.02
$0.70 | $0.08 | $0 | $0.08
Remember to use a minus sign to enter loss values, and round your answers to the nearest cent.
To know more about Australian dollars refer here
https://brainly.com/question/31150334#
#SPJ11
jessica's boutique has cash of $218, accounts receivable of $457, accounts payable of $398, and inventory of $647. what is the value of the quick ratio? group of answer choices 1.05 1.32 .55 1.52 1.70
Jessica's boutique has cash of $218, accounts receivable of $457, accounts payable of $398, and inventory of $647. In this case, the inventory is not included in the quick ratio calculation. The quick ratio for Jessica's Boutique is approximately 1.70
Step 1: Add the cash and accounts receivable amounts.
Cash = $218,
Accounts Receivable = $457
Cash + Accounts Receivable =
$218 + $457 = $675
Step 2: Divide the sum by the accounts payable amount.
Accounts Payable = $398
Quick Ratio =
$675 / $398 ≈ 1.70
So, the quick ratio for Jessica's Boutique is approximately 1.70. Your answer is 1.70.
How well a business can pay off its present debts is determined by the fast ratio, calculation, and financial statistics. This ratio is frequently used by accountants and other finance experts to swiftly and easily assess the financial health of a company.
Learn more about Inventory :- https://brainly.com/question/24868116
#SPJ11
which of the following would cause the balance of cash in the bank statement to be greater than the balance of cash in the accounting records? select one: a. the company deposited a customer check that was found by the bank to have insufficient funds. b. the company has cash receipts that have not been deposited in the bank. c. the company purchased supplies using a debit card. d. the company wrote checks that have not cleared the bank.
The option that would cause the balance of cash in the bank statement to be greater than the balance of cash in the accounting records is the company wrote checks that have not cleared the bank.
So, the correct answer is D.
Understanding bank statementWhen a company writes checks for various expenses, the accounting records immediately reflect the decrease in the cash balance.
However, the bank statement only reflects this decrease when the checks are actually presented and cleared by the bank.
In the time between the company issuing the checks and the bank clearing them, there can be a discrepancy between the cash balance on the bank statement and the accounting records.
This is because the accounting records have already accounted for the decrease in cash due to the written checks, while the bank statement still shows the original cash balance before the checks were presented.
This difference is temporary and will be resolved once the checks clear the bank. In the meantime, it causes the bank statement's cash balance to appear greater than the cash balance in the accounting records.
Learn more about cash receipts at
https://brainly.com/question/31144903
#SPJ11
the _____ approach examines a lifetime stream of additional earnings and cost savings for an investment and discounts the value of those investments by a specified interest rate.
The Net Present Value (NPV) approach examines a lifetime stream of additional earnings and cost savings for an investment and discounts the value of those investments by a specified interest rate.
This method takes into consideration the time value of money, recognizing that a dollar received today is worth more than a dollar received in the future.
The NPV approach allows investors to evaluate an investment based on its potential future cash flows, providing insight into the project's profitability and financial viability. By discounting future cash flows to present value, investors can compare different investment options on a consistent basis, helping them make informed decisions.
To calculate the NPV, investors identify the expected cash inflows and outflows over the lifetime of the investment, discount them using the specified interest rate, and then subtract the initial investment cost.
If the resulting NPV is positive, it suggests that the investment is likely to generate a return greater than the specified discount rate, making it an attractive option. Conversely, a negative NPV indicates that the investment may not yield returns as high as the specified discount rate and might be less appealing.
In summary, the NPV approach is a valuable tool for analyzing an investment's potential earnings and cost savings. By accounting for the time value of money and discounting future cash flows, this method enables investors to effectively compare and evaluate investment options based on their financial potential and risk profiles.
To learn more about investment refer here:
https://brainly.com/question/15105766
#SPJ11