Compounded investment is a method of investing where the returns on an investment are reinvested back into the investment, leading to exponential growth over time.
(a) To find out how much they need to invest at the end of each month period, we can use the formula for the present value of an annuity:
PV = PMT * ((1 - (1 + r/n)^(-nt)) / (r/n))
where:
PV is the present value of the annuity (the amount they need to invest now)
PMT is the payment they want to receive each period ($35,000)
r is the annual interest rate (unknown)
n is the number of times the interest is compounded per year (2 for semiannual)
t is the total number of periods (36 for 18 years with semiannual compounding)
We want to solve for the payment PMT, so we need to rearrange the formula:
PMT = PV / ((1 - (1 + r/n)^(-nt)) / (r/n))
We know that they want to receive $35,000 at the end of each ball-year (i.e., every 6 months), so the number of payments per year is 2. Therefore, the monthly payment can be found by dividing the annual payment by 24:
Monthly Payment = $35,000 / 24 = $1,458.33
Now, we can plug in the given values and solve for the present value PV:
PV = $1,458.33 * ((1 - (1 + r/2)^(-2*18)) / (r/2))
Using a financial calculator or software, we can find that the interest rate r that satisfies this equation is approximately 3.36% (rounded to two decimal places).
Therefore, they need to invest $1,458.33 at the end of each month period for the next 18 years to have enough money to make their college withdrawals starting 6 months after their last investment.
(b) After years of beginning the annuity payments, the present value of the annuity will have decreased due to the payments and the earnings on the account. When they receive the $30,000 inheritance, they can add it to the account and continue making their regular payments. The present value of the annuity at this point can be found by calculating the future value of the payments already made and subtracting it from the future value of the remaining payments and the inheritance, all discounted to the present:
PV = FV(Remaining payments and inheritance) - FV(Payments already made)
We can use the formula for the future value of an annuity to find these two values:
FV = PMT * ((1 + r/n)^(nt) - 1) / (r/n)
The remaining payments will be for 18 - 10 = 8 years (or 16 semiannual periods). The payments already made will be for 10 years (or 20 semiannual periods). The interest rate is still 3.36% and the number of compounding periods per year is still 2.
Plugging in the values, we get:
FV(Remaining payments and inheritance) = $35,000 * ((1 + 0.0336/2)^(2*16) - 1) / (0.0336/2) + $30,000
= $648,845.09
FV(Payments already made) = $35,000 * ((1 + 0.0336/2)^(2*20) - 1) / (0.0336/2)
= $409,859.75
Therefore, the present value of the annuity is:
PV = $648,845.09 - $409,859.75 = $238,985.34
They can continue making their regular payments and the present value of the annuity will be enough to cover the college fund payments of $35,000 per year for 8 more years.
(c) To find out how many college withdrawals they can make before the account balance is $0, we need to calculate the present value of the annuity at that point. We can use the same formula as in part (b):
PV = FV(Payments remaining) / (1 + r/n)^nt
The remaining payments will be for 8 years (or 16 semiannual periods). The interest rate and the number of compounding periods per year are still 3.36% and 2, respectively.
Plugging in the values, we get:
PV = $35,000 * ((1 + 0.0336/2)^(216) - 1) / (0.0336/2) / (1 + 0.0336/2)^(218)
= $159,827.22
Since the account balance will be $0 when the last payment is made, the present value of the remaining payments should equal the account balance at that point. Therefore, they will be able to make $159,827.22 / $35,000 = 4.568 or approximately 5 college withdrawals before the account balance is $0 (rounded to the nearest whole number).
To know more about investment visit:
https://brainly.com/question/30999457
#SPJ11
6) (10 pts) Consider a hypothetical security that pays a continuous dividend over time according to D(t) D.(1 + t). Assuming a (constant) CC rate of interest, r, write a SIMPLIFIED expression for the present value and the duration of this security. If r = 10% what maturity ZC bond matches the duration?
To match the duration of this security with a zero-coupon (ZC) bond, you would need to find a ZC bond with a maturity that is equal to the calculated duration of the continuous dividend-paying security.
In other words, you would need to find a ZC bond with a maturity that has the same weighted average time until cash flows as the continuous dividend-paying security.
The present value (PV) of a security that pays a continuous dividend over time according to D(t) D.(1 + t), with a constant continuous rate of interest, r, can be expressed as:
PV = ∫ [D(t) / (1 + r)^t] dt
where the integral is taken from 0 to infinity, representing the present value of all future dividend payments.
The duration of the security, denoted as D, is a measure of the weighted average time until the cash flows are received. The duration is given by the expression:
D = - (1 / PV) ∫ [t * D(t) / (1 + r)^t] dt
where the integral is again taken from 0 to infinity.
If r = 10% (or 0.10), and assuming the dividend D(t) is known, you can plug in the values for D(t) and r into the above expressions to calculate the PV and duration of the security.
Learn more about hypothetical security here https://brainly.com/question/17054181
#SPJ11
Moving to the next question prevents changes t tion 1 Stock prices follow a "random walk", which means: Stock prices tend to follow trends. Stock prices rise, then fall, then rise again. Stock prices
Moving to the next question, it's essential to understand that stock prices follow a "random walk", which means that stock prices change unpredictably and do not follow trends or predictable patterns such as rising, then falling, then rising again.
Understand that stock prices follow a "random walk"Moving to the next question prevents changes to the current response, so please make sure you have answered the previous question before moving forward. Regarding your question, the term "random walk" means that stock prices do not follow a predictable pattern or trend.
Instead, they move in a seemingly random and unpredictable manner, making it difficult to forecast future stock prices. Therefore, it is important to conduct thorough research and analysis before investing in the stock market.
Stock prices and the "random walk" theory. Moving to the next question, it's essential to understand that stock prices follow a "random walk", which means that stock prices change unpredictably and do not follow trends or predictable patterns such as rising, then falling, then rising again. This theory suggests that it's difficult to consistently predict future stock prices based on their past behavior.
To know more about stock price.
visit:
https://brainly.com/question/1674639
#SPJ11
geno manages an irish pub. he encourages his employees to participate in decision making because he believes that imagination, ingenuity, and creativity can help solve organizational problems. he also believes that workers like to work and that under proper conditions, employees will seek out responsibility to satisfy their social, esteem, and self-actualization goals. which theory of management has geno adopted?
Geno has adopted the Theory Y management approach.
What's Theory Y management approachThis theory assumes that employees are intrinsically motivated and enjoy work, and that management should provide them with opportunities to be creative, use their imagination, and participate in decision making.
Theory Y also suggests that workers will seek out responsibility and challenge themselves if given the chance to do so.
Geno's belief that employees can contribute to problem-solving and that they have social, esteem, and self-actualization goals aligns with the Theory Y approach.
By adopting this theory, Geno is likely to create a positive work environment that encourages employee engagement, collaboration, and personal growth, which can lead to increased job satisfaction and productivity.
Learn more about management theory at
https://brainly.com/question/30509758
#SPJ11
ravinder has created a bar chart showing product category and product name. he has hidden the legend and displayed the caption at the bottom. how did he do this? a tableau window displays a bar chart with a caption box below it. the ribbon has options that include file, data, worksheet, dashboard, story, and analysis. select an answer: he right-clicked in the caption box, and then selected show cards. he selected worksheet on the ribbon, and then selected show caption. he right-clicked in the caption box, and then typed the summary. he selected worksheet on the ribbon, and then selected show summary.
He selected 'Worksheet' on the ribbon, and then selected 'Show Caption'. This process allowed Ravinder to customize the appearance of his bar chart and effectively communicate the desired information to his audience.
In the Tableau window, he created a bar chart by dragging the product category and product name fields to the appropriate shelves. To hide the legend, he right-clicked on the legend and selected 'Hide Card' or clicked the 'x' button on the top right corner of the legend card. To display the caption at the bottom, he selected 'Worksheet' on the ribbon, and then clicked on 'Show Caption'. This added a caption box below the bar chart.
This is because the caption is the text that appears below the chart, and by selecting "show caption," Ravinder was able to display it at the bottom. He may have hidden the legend because it was not necessary or was taking up too much space on the chart. Tableau is a data visualization tool that allows users to create various types of charts and graphs, including bar charts
Know more about Tableau here:
https://brainly.com/question/25531734
#SPJ11
Lai's great aunt left him $20,000 when she died. He can invest the money to earn 12% per year. If he spends $3,540 per year out of this inheritance, how long will the money last?
The money will last approximately 17.54 years if Lai spends $3,540 per year and earns 12% interest annually on his inheritance.
Lai's great aunt left him $20,000 when she died, and he can invest the money to earn 12% per year. If he spends $3,540 per year out of this inheritance, you'd like to know how long the money will last.
Here's a step-by-step explanation:
1. Calculate the annual interest earned: $20,000 * 12% = $2,400
2. Calculate the net annual loss: $3,540 (annual expenses) - $2,400 (annual interest) = $1,140
3. Divide the initial inheritance by the net annual loss to determine how long the money will last: $20,000 / $1,140 ≈ 17.54 years
So, the money will last approximately 17.54 years if Lai spends $3,540 per year and earns 12% interest annually on his inheritance.
To know more about inheritance, refer here:
https://brainly.com/question/29456546#
#SPJ11
1) When considering the investor's desired outcome, if you have
generated very large returns in the first five or ten years, what
should your rebalancing strategy be?
**can rebalance portfolio ever
Hi! When considering the investor's desired outcome, when you have generated large returns in the first five or ten years, you should regularly review and rebalance your portfolio to maintain your desired outcome, while also considering risk levels, diversification, and any life events that may impact your investment goals.
1) Review your investment goals: Reassess your desired outcome and determine if your current portfolio allocation still aligns with your objectives.
2) Assess portfolio risk: Evaluate the risk levels of your portfolio based on the large returns generated, and consider adjusting the allocation to maintain an appropriate risk level.
3) Rebalance periodically: Regularly review your portfolio and rebalance as needed to maintain the desired asset allocation. This can be done either at a fixed interval (e.g., annually) or when the allocation deviates from the target by a certain percentage.
4) Diversify investments: Ensure that your portfolio remains diversified across different asset classes, sectors, and regions to minimize risk and protect against potential market downturns.
5) Adjust for life events: As you approach major life events, such as retirement, you may need to adjust your desired outcome and rebalancing strategy to align with your new goals and risk tolerance.
To know more about rebalancing strategy refer here:
https://brainly.com/question/29992631#
#SPJ11
descamps incorporated has provided the following data concerning one of the products in its standard cost system. variable manufacturing overhead is applied to products on the basis of direct labor-hours. inputs standard quantity or hours per unit of output standard price or rate variable manufacturing overhead 0.20 hours $ 6.10 per hour the company has reported the following actual results for the product for july: actual output 4,200 units actual direct labor-hours 780 hours actual variable overhead rate $ 6.20 per hour the variable overhead rate variance for the month is closest to: multiple choice $78 f $84 f $78 u $84 u
The variable overhead rate variance for the month is $78 favorable, which means that the actual variable overhead rate was slightly higher than the standard variable overhead rate, but the company saved money due to the favorable variance.
To calculate the variable overhead rate variance, we need to compare the actual rate per hour with the standard rate per hour and then multiply it by the actual hours worked.
The standard variable overhead rate per hour is $6.10, and the actual variable overhead rate per hour is $6.20.
The variable overhead rate variance is calculated as follows:
Actual Hours Worked x (Actual Variable Overhead Rate - Standard Variable Overhead Rate)
780 x ($6.20 - $6.10) = $78 favorable
Click the below link, to learn more about The variable overhead:
https://brainly.com/question/22984161
#SPJ11
the inverse relationship between quantity demanded and price for a good can be explained by the law of diminishing marginal utility.group startstrue true or false
True. The law of diminishing marginal utility explains the inverse relationship between quantity demanded and price for a good.
This law states that as a consumer purchases more of a good, their satisfaction with it decreases. As the consumer purchases more of the good, they become less willing to pay for it, which leads to a decrease in quantity demanded as the price increases.
This can be seen in the downward slope of the demand curve. For example, if the price of an item increases, the consumer will purchase less of it due to the decrease in satisfaction they gain from it. This decrease in quantity demanded is what drives the inverse relationship between quantity demanded and price for a good.
Know more about Marginal utility here
https://brainly.com/question/14149928#
#SPJ11
which of the following situations would cause a shift in the demand curve, as opposed to a change in the quantity demanded? a.federal income tax rates are decreased. b.auto sales increase due to increased employment. c.gasoline consumption decreases as the taxes on gasoline increase. d.both a and b.
Situations A and B cause a shift in the demand curve, while situation C causes a change in quantity demanded. (Option D is correct)
Circumstance An and Circumstance B would cause a change in the interest bend as opposed to an adjustment of the amount requested.
Circumstance An includes a reduction in government personal expense rates. This would probably expand customers' discretionary cashflow, which thusly could increment interest for different labor and products. Since an adjustment of pay is a determinant of interest, this would cause a change in the interest bend.
Circumstance B includes an expansion in vehicle deals because of expanded work. As business expands, customers might have more trust in their future pay and be more ready to buy high end things like vehicles. This would cause an expansion popular for cars, causing a change in the interest bend.
Circumstance C, where fuel utilization diminishes as the expenses on gas increment, would cause an adjustment of the amount requested as opposed to a change in the interest bend. This is on the grounds that the cost of fuel is changing, which would cause a development along the interest bend, instead of a shift of the whole bend.
In this way, the right response is (d) both An and B. Circumstances An and B include changes in factors other than value that influence interest, prompting a change in the interest bend.
To learn more about shift in the demand curve, refer:
https://brainly.com/question/16162802
#SPJ4
Describe, in detail, the three (3) different firm's buying
situations.
1. Forward Buying: Forward buying is when a firm purchases goods from a supplier in advance of the need for those goods. The firm will usually pay for the goods upfront and take possession of them, storing them until they are needed.
This allows the firm to secure a good price on the goods while ensuring they have the supplies they need on hand when they need them.
2. Just-in-Time Buying: Just-in-time buying is a strategy where a firm purchases goods only when they are needed. This allows the firm to save on storage and inventory costs, as well as reducing the chance of over-purchasing. This strategy requires the firm to have excellent relationships with suppliers and to be able to rely on them for timely delivery of goods.
3. Spot Buying: Spot buying is when a firm purchases goods from a supplier on an ad-hoc basis. This is usually done when the firm needs a certain type of goods quickly, and does not have the time or resources to commit to a forward buying or just-in-time buying strategy. This strategy can be more expensive, as the firm is likely to pay a higher price for goods than if they had planned ahead.
Know more about Forward Buying here
https://brainly.com/question/30870583#
#SPJ11
A company had €200 million shareholders' equity on January 1, 2020.
During 2020, the company made €20 million net income and paid 63 million cash dividends. The company didn't issue any new common stod or buy had common stocks during the year. On December 31, 2020, the company reported €227 million shareholders equity in the balance sheet How much is the company's comprehensive income in 2020? A. €630 million B. €10 million. C. €20 million
The correct answer is C. €20 million. This is because the company's comprehensive income for the year is equal to its net income plus the changes in shareholders' equity.
For the given company, net income was €20 million, and the change in shareholders' equity was €27 million (227 million at the end of the year minus 200 million at the beginning of the year).
Thus, the company's comprehensive income for the year was €20 million + €27 million = €47 million. However, since the company paid out €63 million in cash dividends, the company's comprehensive income was reduced to €20 million = €47 million - €63 million. This means that the company's comprehensive income in 2020 was €20 million.
Know more about equity here
https://brainly.com/question/31518525#
#SPJ11
on may 1, 2021, mosby company received an order to sell a machine to a customer in canada at a price of 2,000,000 mexican pesos. the machine was shipped and payment was received on march 1, 2022. on may 1, 2021, mosby purchased a put option giving it the right to sell 2,000,000 pesos on march 1, 2022 at a price of $190,000. mosby properly designates the option as a fair value hedge of the peso firm commitment. the option cost $3,000 and had a fair value of $3,200 on december 31, 2021. the following spot exchange rates apply: date spot rate may 1, 2021 $ 0.095 december 31, 2021 $ 0.094 march 1, 2022 $ 0.089 what was the impact on mosby's 2021 net income as a result of this fair value hedge of a firm commitment?
The impact on Mosby's 2021 net income as a result of this fair value hedge of a firm commitment was a decrease of $1,800.
To determine the impact on Mosby's 2021 net income as a result of this fair value hedge of a firm commitment, we will need to consider the changes in the value of the put option and the firm commitment. Here are the steps to calculate the impact:
Step 1: Determine the change in the value of the put option.
The put option had an initial cost of $3,000 and a fair value of $3,200 on December 31, 2021. The change in the value of the put option is:
$3,200 - $3,000 = $200 gain
Step 2: Determine the change in the value of the firm commitment.
On May 1, 2021, the spot exchange rate was $0.095, so the value of the 2,000,000 Mexican pesos firm commitment was:
2,000,000 pesos * $0.095 = $190,000
On December 31, 2021, the spot exchange rate was $0.094, so the value of the firm commitment was:
2,000,000 pesos * $0.094 = $188,000
The change in the value of the firm commitment is:
$188,000 - $190,000 = -$2,000 loss
Step 3: Calculate the net impact on Mosby's 2021 net income.
The net impact on Mosby's 2021 net income is the sum of the change in the value of the put option and the change in the value of the firm commitment:
$200 gain + (-$2,000 loss) = -$1,800
So, due to the impact on Mosby's 2021 net income their fair value hedge commitment was a decrease of $1,800.
Learn more about fair value hedge here: https://brainly.com/question/27992267
#SPJ11
Cash management' is another area of responsibility which you will have as a financial manager. What would a financial manager need to do for the business in terms of 'cash management?
As a financial manager, one of your primary responsibilities will be managing the cash flow of the business. This involves ensuring that the company has enough cash on hand to meet its financial obligations and maintain operations.
To do this, you will need to monitor and project cash inflows and outflows, create and manage a cash budget, and make strategic decisions about when and how to invest excess cash.
Additionally, you may need to negotiate with lenders or investors to secure financing or manage debt, as well as implement policies and procedures to prevent fraud or misuse of funds.
Effective cash management is critical to the success of any business, as it enables the company to meet its financial obligations, pursue growth opportunities, and maintain financial stability.
By carefully managing the company's cash flow, a financial manager can help ensure the long-term success of the business.
To know more about cash flow refer here:
https://brainly.com/question/29768594#
#SPJ11
29. The following information pertains to a property and casualty (P&C) insurance company: • Investment income 5% •Dividends 2% .Loss ratio 74% •Expense ratio 23% Based on the information provided, what is this company's combined ratio after dividends? A. 96% B. 94% C. 97% D. 99%
The combined ratio after dividends for this P&C insurance company is 95%, which is closest to option B, 94%. To determine the combined ratio of a P&C insurance company after dividends, we need to add the loss ratio and the expense ratio and subtract the dividend ratio from the sum.
Loss ratio refers to the amount of claims paid out by an insurance company compared to the premiums it collects. In this case, the loss ratio is 74%, meaning that 74 cents of every dollar collected in premiums is paid out in claims.
Expense ratio refers to the expenses incurred by an insurance company to operate its business, including salaries, rent, and marketing costs. In this case, the expense ratio is 23%, meaning that 23 cents of every dollar collected in premiums is used to cover expenses.
Dividend ratio refers to the portion of profits that the insurance company distributes to its shareholders. In this case, the dividend ratio is 2%, meaning that 2 cents of every dollar collected in premiums is paid out as dividends.
To calculate the combined ratio after dividends, we add the loss ratio and the expense ratio:
74% + 23% = 97%
Then, we subtract the dividend ratio:
97% - 2% = 95%
Therefore, the combined ratio after dividends for this P&C insurance company is 95%, which is closest to option B, 94%. This means that for every dollar collected in premiums, the company pays out 95 cents in claims and expenses, leaving 5 cents as profit before paying out dividends.
for more such question on dividend ratio
https://brainly.com/question/31366921
#SPJ11
QUESTION 6The APR on a financial security is 12 percent. If the inflationpremium is 4 percent and the pure rate is 3 percent, what riskpremium is required by the market? b) A bank wishes to earn 4.74% 4.56% 5.00% 3.81% 5.37%
The risk premium required by the market is 5%.
Find the risk premium required by the market?To find the risk premium required by the market, we need to use the following formula:
APR = Pure Rate + Inflation Premium + Risk Premium
We are given the APR (12%), the inflation premium (4%), and the pure rate (3%). We will now solve for the risk premium.
Plug in the values into the formula.
12% = 3% + 4% + Risk Premium
Combine the known percentages.
12% = 7% + Risk Premium
Solve for the Risk Premium.
Risk Premium = 12% - 7%
Risk Premium = 5%
The risk premium required by the market is 5%.
Learn more about risk premium.
brainly.com/question/28235630
#SPJ11
You plan to buy a share of XYZ stock today. Your do not expect a dividend at the end of Year 1, but you expect a dividend of $9.25 at the end of Year 2, $7.00 at the end of year 3, and $5.00 at the end of year 4. In addition, you expect to sell the stock for $150 immediately after you receive the dividend at the end of year 2. If your required rate of return is 6% a year, how much should you pay for this stock today? $141.73 $131.74 $107.53 $118.35 $75.29
You should pay approximately $146.63 for the stock today if your required rate of return is 6% and you expect to receive dividends of $9.25, $7.00, and $5.00 at the end of years 2, 3, and 4, respectively. So the correct answer is $141.73.
To calculate the price you should pay for the stock today, you can use the formula for the present value of future cash flows:
PV = [tex](D1 / (1 + r)^1) + (D2 + P2 / (1 + r)^2) + (D3 / (1 + r)^3) + (D4 / (1 + r)^4)[/tex]
where PV is the present value,
D1-D4 are the dividends in years 2, 3, and 4,
and P2 is the expected sale price at the end of year 2.
r is the required rate of return, which in this case is 6%.
We know that:
D1 is 0 (since there's no dividend in year 1), and we're given D2 = $9.25, D3 = $7.00, D4 = $5.00, and P2 = $150.
Plugging in the values, we get:
PV = [tex](0 / (1 + 0.06)^1) + (9.25 / (1 + 0.06)^2) + (7.00 / (1 + 0.06)^3) + (5.00 / (1 + 0.06)^4) + (150 / (1 + 0.06)^2)[/tex]
= 0 + 8.63 + 6.10 + 4.27 + 127.63
= 146.63
Therefore, you should pay approximately $146.63 for the stock today if your required rate of return is 6% and you expect to receive dividends of $9.25, $7.00, and $5.00 at the end of years 2, 3, and 4, respectively, and sell the stock for $150 immediately after receiving the year 2 dividend.
To know more about dividends refer here
brainly.com/question/29510262#
#SPJ11
Question 6 (1.5 points) The current price of a 15-year, $1,000 par value bond is $659.46. Interest on this bond is paid annually, and its annual yield to maturity is 12 percent. Given these facts, what is the annual coupon payment on this bond? a. $140.00
b. $70.00 c. $120.00 d. $79.14 e. $65.95 f. $60.00
Answer:
The annual yield to maturity of the bond is 12%, which means that the bond's cash flows are discounted at a rate of 12% per year. The bond has a 15-year maturity and a $1,000 face value, so it will make 15 annual payments of the same amount. We can use the present value formula to solve for the annual coupon payment:
PV = C / (1 + r)^1 + C / (1 + r)^2 + ... + C / (1 + r)^15 + FV / (1 + r)^15
where PV is the current price of the bond, C is the coupon payment, r is the yield to maturity, and FV is the face value of the bond.
Plugging in the given values:
PV = $659.46
FV = $1,000
r = 12%
n = 15
Solving for C, we get:
C = (PV - FV / (1 + r)^n) / [((1 + r)^n - 1) / r]
C = ($659.46 - $1,000 / (1 + 0.12)^15) / [((1 + 0.12)^15 - 1) / 0.12]
C = $79.14
Therefore, the annual coupon payment on this bond is $79.14, which is closest to answer choice d. $79.14.
"A company has the following capital structure: $5 million from
bonds, $25 million from preferred stock, and $100 million from
common stock. The cost of each source of funding is as follows:
Bonds = 6.000%; Common = 9.75%; Preferred = 6.50%. Compute the company's WACC.
The company's weighted average cost of capital (WACC) is 8.69%.
To compute the WACC, follow these steps:
1. Determine the proportions of each source of funding:
- Bonds: $5 million / $130 million = 0.0385
- Preferred stock: $25 million / $130 million = 0.1923
- Common stock: $100 million / $130 million = 0.7692
2. Multiply the proportions by their respective costs:
- Bonds: 0.0385 * 6.000% = 0.231%
- Preferred stock: 0.1923 * 6.50% = 1.250%
- Common stock: 0.7692 * 9.75% = 7.500%
3. Add up the weighted costs to obtain the WACC:
- WACC = 0.231% + 1.250% + 7.500% = 8.69%
In summary, the company's WACC is 8.69%, which represents the average cost of capital from all three sources, weighted by their proportions in the capital structure.
To know more about weighted average cost of capital click on below link:
https://brainly.com/question/28561354#
#SPJ11
true or false: the longer the maturity of the bond, the more a fall in the interest rate in the economy will raise the price of the bond.
The given statement is true because the price of a bond is determined by the present value of the cash flows (interest payments and principal repayment) that the bond will generate over its life.
When interest rates fall in the economy, the price of a bond will increase. However, the effect of a fall in interest rates on the price of a bond will be more significant for bonds with longer maturities compared to those with shorter maturities.
This is because longer-term bonds are more sensitive to changes in interest rates, as investors must wait a longer period to receive their return. Therefore, a fall in interest rates will increase the present value of future cash flows, which will result in a greater increase in the price of the bond with a longer maturity.
Learn more about bond https://brainly.com/question/29667007
#SPJ11
contribution margin per unit product a $ 40 product b 32 product c 45 the product mix is 51%/25%/24%. required:
The weighted average contribution margin for the given product mix is $39.2. This means that on average, the business earns $39.2 in contribution margin for every unit of product sold in this product mix.
To calculate the weighted average contribution margin for the given product mix, we need to first find the contribution margin per unit for each product. As given in the problem statement, the contribution margin per unit for product A is $40, for product B is $32, and for product C is $45.
Next, we need to calculate the weighted average contribution margin by multiplying the contribution margin per unit of each product with its corresponding product mix percentage and then adding up the results. The formula for weighted average contribution margin is:
Weighted Average Contribution Margin = (Contribution Margin of Product A x Product A Mix Percentage) + (Contribution Margin of Product B x Product B Mix Percentage) + (Contribution Margin of Product C x Product C Mix Percentage)
Substituting the given values, we get:
Weighted Average Contribution Margin = ($40 x 0.51) + ($32 x 0.25) + ($45 x 0.24)
= $20.4 + $8 + $10.8
= $39.2
It is important to note that contribution margin is not the same as profit. It only accounts for the variable costs associated with producing and selling a product and does not take into consideration the fixed costs and overhead expenses. However, knowing the contribution margin per unit can help businesses make informed decisions regarding pricing, production, and product mix.
Click the below link, to learn more about Contribution margin:
https://brainly.com/question/29534784
#SPJ11
extreme value stores include dollar general, dollar tree, big lots, and 99¢ only stores. True or false?
True. Dollar General, Dollar Tree, Big Lots, and 99¢ Only Stores are all considered extreme value stores, offering low-priced merchandise and household essentials.
Extreme value stores, also known as discount stores, offer a wide range of products at very low prices. These stores are popular among budget-conscious shoppers looking to save money on household essentials, personal care items, and other everyday necessities. The stores listed above are among the most well-known extreme value stores in the United States, with thousands of locations nationwide. Their low prices are achieved through a combination of cost-cutting measures and strategic sourcing, allowing them to offer everyday items at prices that are often significantly lower than their competitors.
Learn more about Extreme value stores here:
https://brainly.com/question/30892547
#SPJ11
17. 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. We need to make annual deposits of $445.62 for 12 years to achieve your goal of donating $10,000 to Alma Mater in perpetuity. b. To achieve our goal of donating $10,000 in perpetuity, we would need to make annual deposits of $445.62 for 24.02 years, assuming an interest rate of 10% compounded annually.
a. To determine the amoun
t of the donation you will make in year 12, we can use the future value 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.
In this case, the present value of the donation is $0, and we want to find the future value of 12 deposits of $X at an interest rate of 10% compounded annually:
FV = X x ((1 + 0.10)¹²⁻¹) / 0.10
We want the future value to be $10,000, so we can set up the following equation:
10,000 = X x ((1 + 0.10)¹²⁻¹) / 0.10
Solving for X, we get:
X = 10,000 x 0.10 / ((1 + 0.10)¹²⁻¹) = $445.62
b. To determine the annuities that will allow you to achieve your goal, we can use the present value formula for an annuity:
PV = PMT x ((1 - (1 + r)⁻ⁿ) / r)
Where PV is the present value, PMT is the periodic payment (in this case, the annual deposit), r is the interest rate, and n is the number of periods.
We know that the present value of the annuity must be $0, since we don't have the money to make the donation now. We also know that the periodic payment is $445.62 and the interest rate is 10% compounded annually. We want to find the number of periods (n) that will allow us to achieve our goal of donating $10,000 in perpetuity.
We can rearrange the formula to solve for n:
n = -ln(1 - (PV x r / PMT)) / ln(1 + r)
Substituting the values we know, we get:
n = -ln(1 - (10,000 x 0.10 / 445.62)) / ln(1 + 0.10) = 24.02 years
Therefore, to achieve our goal of donating would need to make annual deposits of $445.62 for 24.02 years.
To know more about the alma mater click here
brainly.com/question/13820462
#SPJ11
Rosenberg and Birdzell note that during the Middle Ages it was alien for individuals to guide their current activities by deliberate calculation of their future consequences. For serfs, what were the consequences of being this shielded from reality?
Middle Ages when they were shielded from reality: by not being able to guide their current activities based on deliberate calculation of future consequences, as Rosenberg and Birdzell note.
During the Middle Ages, serfs faced several consequences due to being shielded from reality. Firstly, this lack of foresight and deliberate calculation hindered their ability to make informed decisions that could improve their lives in the long term.
They were unable to assess the impact of their choices on future prospects, such as economic security or personal well-being, resulting in stagnation and limited social mobility.
Secondly, this limitation on their ability to plan for the future may have contributed to their vulnerability to exploitation by the feudal system. Without a clear understanding of the potential consequences of their actions, serfs might have been more prone to make decisions that benefited their lords and the overall system, while neglecting their own interests.
Lastly, being shielded from reality meant that serfs were likely disconnected from the broader socio-economic developments taking place during the Middle Ages.
This lack of awareness would have further hindered their ability to adapt and respond to changes in the world around them, such as shifts in political power, technological advancements, or emerging economic opportunities.
In conclusion, serfs in the Middle Ages faced a range of negative consequences due to being shielded from reality, as noted by Rosenberg and Birdzell.
This inability to guide their actions based on a deliberate calculation of future consequences left them vulnerable to exploitation, limited their opportunities for social mobility, and hindered their capacity to adapt to a changing world.
To know more about Middle Ages, refer here:
https://brainly.com/question/30553709#
#SPJ11
teshi recently graduated from college. her income increased tremendously from $5,000 a year to $60,000 a year. teshi decided that instead of renting, she would buy a house. this implies that
Teshi recently graduated from college and her income increased tremendously from $5,000 a year to $60,000 a year. She decided that instead of renting, she would buy a house. Teshi's decision to buy a house indicates that she is financially stable and confident in her ability to maintain her increased income.
Teshi want to buy a house. What she implies for that?Teshi's decision to buy a house indicates that she is financially stable and confident in her ability to maintain her increased income. It also suggests that she sees homeownership as a more long-term and profitable investment than renting. However, it's important for Teshi to consider the additional costs and responsibilities that come with owning a home, such as property taxes, maintenance, and repairs.
She should also ensure that she has a solid financial plan in place to manage her new expenses and any unexpected financial setbacks that may arise.
To know more about income increase tremendously
visit:
https://brainly.com/question/29990545
#SPJ11
By reviewing a company's common size Income Statement, one can measure a company's profitability liquidty leverage size
By reviewing a company's common size Income Statement, one can measure a company's profitability. The correct option is a.
An income statement that is expressed with each line item as a percentage of revenue or sales is known as a common size income statement. When performing a vertical analysis, each line item in a financial statement is represented as a percentage of the statement's base figure.
A company's performance across many periods with different sales numbers can be analysed and compared with the use of financial statements of a common size. The performance of the company in relation to the industry can then be assessed by comparing the common size percentages to those of rivals.
Learn more about income statement, here:
https://brainly.com/question/14890247
#SPJ12
true or false? a structural sign that health care is evolving to a true retail market is that retail centers set to receive health care are now appearing nationally.
The statement '' structural sign that health care is evolving to a true retail market is that retail centers set to receive health care are now appearing nationally'' is true because one of the signs that the healthcare industry is evolving into a true retail market is the emergence of retail centers that offer healthcare services.
These centers are often located in high-traffic areas such as shopping malls, strip malls, and other retail locations. They offer convenience and accessibility to consumers, who can receive healthcare services without having to visit a traditional hospital or clinic.
In recent years, retail centers offering healthcare services have been popping up all over the country, providing a range of services from routine checkups to urgent care. The trend is likely to continue as more consumers seek out convenient, affordable healthcare options, and the healthcare industry looks for new ways to meet their needs.
For more questions like Market click the link below:
https://brainly.com/question/13414268
#SPJ11
Any incompatibility between two or more attitudes or between behavior and attitudes results in Select one: a. personality clarification b. cognitive dissonance c. values clarification d. institutional dissonance e. affective reactance
Any incompatibility between two or more attitudes or between behavior and attitudes results in cognitive dissonance. Therefore, the correct answer is (b).
Cognitive dissonance refers to the psychological discomfort that arises from holding two or more conflicting attitudes, beliefs, or values or when there is a discrepancy between attitudes and behaviors.
This discomfort motivates people to change their attitudes or behaviors to reduce the dissonance and restore cognitive consistency.
Cognitive dissonance theory has been widely studied in social psychology and has been used to explain a wide range of phenomena, including attitude change, decision-making, and persuasion.
The theory suggests that people have a natural desire to maintain consistency between their thoughts, beliefs, and actions, and that the experience of cognitive dissonance can lead to significant psychological discomfort and tension.
Learn more about cognitive dissonance :
https://brainly.com/question/30390778
#SPJ4
B. Cognitive dissonance
A person who possesses two or more conflicting views or values or who acts in a way that opposes those beliefs or values may suffer cognitive dissonance, a psychological phrase that describes the mental discomfort they feel. When someone is presented with the knowledge that contradicts their preexisting beliefs or actions, they experience this discomfort. People may change their values, beliefs, or behaviors to alleviate this pain while still being consistent with their views. When a buyer must select between two brands or items with comparable qualities but contrasting costs or societal views, cognitive dissonance may occur. By giving their target audience additional knowledge, assurance, and social evidence, marketers may lessen this contradiction.
learn more about Cognitive dissonance here:
https://brainly.com/question/15517772
#SPJ11
southwest corporation issued bonds with the following details: face value: $600,000 interest: 9 percent per year payable each december 31 terms: bonds dated january 1, 2021, due five years from that date the annual accounting period ends december 31. the bonds were issued at 104 on january 1, 2021, when the market interest rate was 8 percent. assume the company uses effective-interest amortization and adjusts for any rounding errors when recording interest expense in the final year. required: 1. compute the cash received from the bond issuance in dollars. tip: the issue price typically is quoted at a percentage of face value. 2.
Southwest Corporation received $624,000 from the bond issuance.
How to much company will receive from bond issuanceSouthwest Corporation issued bonds with a face value of $600,000, a 9% annual interest rate, payable each December 31. The bonds were dated January 1, 2021, and are due in five years.
They were issued at 104% when the market interest rate was 8%. The company uses the effective-interest amortization method and adjusts for rounding errors in the final year. 1.
To compute the cash received from the bond issuance, multiply the face value by the issue price percentage. In this case, $600,000 * 104% = $624,000.
Learn more about bonds issuance at
https://brainly.com/question/31358743?
#SPJ11
if a company has net income of $5,700,000, weighted average shares of common stock of 1,500,000, and retained earnings of $37,900,000, what is its eps?
The company's Earnings Per Share (EPS) is $3.80.
EPS = Net Income / Weighted Average Shares of Common Stock
EPS = $5,700,000 / 1,500,000
EPS = $3.80 per share
Note that retained earnings is not used in the calculation of EPS.
They represent the cumulative profits that the company has earned and kept over time, rather than the current year's earnings.
Earnings per share, or EPS, is a crucial financial metric that shows a company's profitability. It is determined by dividing the net income of the business by the total number of outstanding shares.
(Net Income - Preferred Dividends) / Weighted Average Shares Outstanding is the formula for EPS. The first formula calculates EPS using the total number of shares outstanding, but in reality, analysts might compute the denominator using the weighted average shares outstanding.
Learn more about Earning per share :- https://brainly.com/question/27815958
#SPJ11
It is December 31, the end of the fiscal year. During December, employees earned $800,000 in salaries, but paychecks do not get issued until January 2
The adjusting entry required on December 31 is to recognize the accrued salaries expense for the month of December, even though paychecks will not be issued until January 2. This entry will increase the salaries expense and payable accounts on the balance sheet.
The adjusting entry for salaries earned but not yet paid at the end of the period is a common accrual adjusting entry. This entry aims to recognize the expenses incurred in the current period, even though the related cash payments will occur in a future period.
The journal entry to record this adjusting entry on December 31 would be:
Salaries Expense $800,000
Salaries Payable $800,000
This recognizes the expense for December and records the corresponding liability for the unpaid salaries. After this adjusting entry is recorded, the salaries payable balance on the balance sheet will reflect the amount owed to employees for the December salaries, and the salaries expense on the income statement will accurately reflect the total salaries earned by employees during the period.
To learn more about salaries from the link:
https://brainly.com/question/29275407
#SPJ4
The correct question is:
It is December 31, the end of the fiscal year. During December, employees earned $800,000 in salaries, but paychecks do not get issued until January 2.
Which journal entry reflects the adjusting entry needed on December 31?