Sure, I'd be happy to help! To calculate the monthly principal and interest payments for a mortgage in Excel, you can use the PMT function. Here are the steps:
Step 1: Calculate the loan amount: The loan amount is the purchase price minus the down payment. For this question, the loan amount is $240,000 ($300,000 x 0.8).
Step 2: Calculate the monthly interest rate: To calculate the monthly interest rate, you need to divide the annual interest rate by 12. For the 15-year mortgage at 2.875%, the monthly interest rate is 0.002395833 (= 0.02875 / 12). For the 30-year mortgage at 3.25%, the monthly interest rate is 0.002708333 (= 0.0325 / 12).
Step 3: Calculate the number of payments: To calculate the number of payments, you need to multiply the number of years by 12. For the 15-year mortgage, the number of payments is 180 (= 15 x 12). For the 30-year mortgage, the number of payments is 360 (= 30 x 12).
Step 4: Use the PMT function: In Excel, the PMT function is used to calculate the monthly payment for a loan. The syntax of the function is PMT(rate, nper, pv, [fv], [type]), where: rate = the monthly interest rate nper = the number of payments pv = the present value (loan amount)[fv] = the future value (optional, default is 0)[type] = the type of payment (optional, 0 for end of period, 1 for beginning of period) For the 15-year mortgage, the formula would be: PMT(0.002395833, 180, 240000). This gives a monthly payment of $1,609.36.For the 30-year mortgage, the formula would be: PMT(0.002708333, 360, 240000)This gives a monthly payment of $1,043.29.I hope that helps! Let me know if you have any questions.
to know more about interest payments visit
https://brainly.com/question/23509549
#SPJ11
during its first five years of operations, white consulting reports net income and pays dividends as follows. required: calculate the balance of retained earnings at the end of each year. note that retained earnings will always equal $0 at the beginning of year 1. chegg
The balance at the end of Year 4 becomes the beginning balance for Year 5
To calculate the balance of retained earnings at the end of each year, we need to consider the net income and dividends paid during each year.
Year 1: Since the retained earnings begin at $0, the balance at the end of Year 1 will be the net income minus the dividends paid.
Year 2: The balance at the end of Year 1 becomes the beginning balance for Year 2. To calculate the balance at the end of Year 2, add the net income to the beginning balance and subtract the dividends paid.
Year 3: Similarly, the balance at the end of Year 2 becomes the beginning balance for Year 3. Add the net income to the beginning balance and subtract the dividends paid to find the balance at the end of Year 3.
Year 4: Repeat the same process. The balance at the end of Year 3 becomes the beginning balance for Year 4. Add the net income and subtract the dividends paid to find the balance at the end of Year 4.
Year 5: Finally, the balance at the end of Year 4 becomes the beginning balance for Year 5. Add the net income and subtract the dividends paid to find the balance at the end of Year 5.
Learn more about balance
https://brainly.com/question/27154367
#SPJ11
A stock has had returns of 5 percent, 14 percent, −3 percent, and 4 percent over the last four years. What is the geometric average return over this period? 5.33\% 4.83% 7.67% 5.00% 5.00%
The geometric average return over the period is 4.83%.
The geometric average return is also referred to as the geometric mean. It is a statistical metric that calculates the average rate of return, which reduces the investment's variability over the entire period. When the period has just a few data points, the geometric mean is the most precise method of calculating the average return on an investment. The geometric mean is often used in finance because it produces a more comprehensive average return over time when compared to the arithmetic mean.
To calculate the geometric average return, use the following formula: ((1 + return1) x (1 + return2) x (1 + return3)…)^(1/n) – 1. Where “n” is the number of years (or periods) in the data set.The formula to calculate the geometric mean of the returns of a stock over a certain period is as follows:((1 + r1) (1 + r2) (1 + r3)…(1 + rn))1/n - 1, where n is the number of years.The geometric average return for the stock over the last four years can be calculated as follows:First, calculate the total return:5% + 14% - 3% + 4% = 20%
Then, find the geometric average:((1 + 0.05) × (1 + 0.14) × (1 − 0.03) × (1 + 0.04))^0.25 − 1=1.0483 - 1= 0.0483 = 4.83%
Therefore, the geometric average return over this period is 4.83%.
To know more about geometric average return visit:
brainly.com/question/32732095
#SPJ11
Marty's Barber Shop has one barber. Customers have an arrival rate of 1.9 customers per hour, and haircuts are given with a service rate of 4.2 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions. (Round your answers to four decimal places.) (a) What is the probability that no units are in the system? mache Mimi PROSIN Ingmalun
Marty's Barber Shop has one barber. Customers have an arrival rate of 1.9 customers per hour and haircuts are given with a service rate of 4.2 per hour.
To determine the probability that no units are in the system, we will use the Poisson arrivals and exponential service times model. The probability that no units are in the system (P0) is given as follows:
P0 = 1 - (λ/μ)Where λ is the arrival rate, and μ is the service rate. Substituting the given values:λ = 1.9 and μ = 4.2P0 = 1 - (1.9/4.2)P0 = 0.5476 (rounded to four decimal places).
Therefore, the probability that no units are in the system is 0.5476.
To know more about service visit:
https://brainly.com/question/30418810
#SPJ11
What is the most basic economic problem?
a. the theory of demand and supply
b. greed
c. economic growth
d. productivity
e. scarcity
f. profit
The most basic economic problem is scarcity. Scarcity refers to the condition in which resources are limited and unable to satisfy all human wants and needs. The correct option is e.
Scarcity is the fundamental challenge faced by individuals, societies, and economies. It stems from the fact that resources such as land, labor, capital, and time are finite, while human wants and needs are virtually unlimited.
This creates a situation where choices must be made about how to allocate these scarce resources to fulfill various competing needs and desires.
Due to scarcity, individuals and societies must make trade-offs and prioritize their needs and wants. It drives the necessity for economic decision-making, resource allocation, and the study of how individuals and societies manage limited resources to meet their unlimited wants and needs.
Visit here to learn more about Scarcity:
brainly.com/question/26856258
#SPJ11
Today you are writing a put option on TSLA stock, which is currently valued at $200 per share. The put option has a strike price of $170, 2 months to expiration, and currently trades at a premium of $3.2 per share.
If at maturity the stock is trading at $154, what is your net profit on this position? Keep in mind that one option covers 100 shares.
After considering the premium paid for the option, the net profit on this put option position is $1,280.
To calculate the net profit on the put option position, we need to consider the premium paid for the option and the difference between the strike price and the stock price at maturity.
Stock price at maturity (S) = $154
Strike price (X) = $170
Premium paid per share (P) = $3.2
Number of shares per option = 100
First, let's determine the intrinsic value of the put option at maturity. The intrinsic value is the difference between the strike price and the stock price if it's lower than the strike price. Otherwise, it's zero.
Intrinsic Value = Max(0, X - S)
= Max(0, $170 - $154)
= Max(0, $16)
= $16
Since the stock price at maturity is below the strike price, the intrinsic value is $16.
To calculate the net profit, we need to subtract the premium paid per share from the intrinsic value and multiply it by the number of shares per option.
Net Profit = (Intrinsic Value - Premium) * Number of shares per option
= ($16 - $3.2) * 100
= $12.8 * 100
= $1,280
Therefore, the net profit on this put option position is $1,280.
To know more about net profit, visit:
https://brainly.com/question/32239002#
#SPJ11
Given the following:
• Stock equals 100
• Stock volatility of 40%
Debt maturity of 5 years
• Debt Face value of 150
• Risk-free rate of 3%
Use Merton's model to find the asset value and asset volatility?
What is the risk-neutral probability of default over the debt's maturity and the annualized default probability?
What is the market spread for the debt?
What is the implied Recovery Rate?
Merton's model is a structural model used to evaluate the risk of default of a business or company.
The Merton Model is utilized to determine the risk-neutral probability of default of a company or business with debt.
This model is based on the Black-Scholes model and is used to identify the value of a company's assets while taking into account its debt.
The formula for Merton's model is: = (1) − (2)
Where: V = the value of the assets S = the stock price N(d) = the cumulative normal distribution functiond1 = [ln(S/B) + (r + σ²/2)t]/σ√td2 = d1 - σ√t
Where :
r = the risk-free interest rateσ = the volatility of the underlying asset
B = the face value of debt
T = the time to maturity Asset value and
Asset Volatility:
The following data is given:
Stock price (S) = 100Stock volatility (σ) = 40%Risk-free rate (r) = 3�bt face value (B) = 150Debt maturity (T) = 5 years
The calculation of the asset value and asset volatility is shown below:1 = [ln(100/150) + (0.03 + (0.4²)/2)5]/(0.4√5) = -0.852 = -0.85 - 0.4√5 = -2.76 (1) = 0.1987 (2) = 0.0033 = 100 (0.1987) - 150 (0.0033) = $17.74 = 100(0.4)√0.1987 = 25.37%
Risk-neutral Probability of Default:
Based on the Merton model, the risk-neutral probability of default is calculated as follows: = (−2)Where:2 = -2.76 (-2) = 0.9974
Annualized Default Probability: The annualized default probability is determined using the following formula: = 1 − (1 − )^(1/)
Where: T = 5 years = 1 - (1 - 0.9974)^(1/5) = 19.20%
Market Spread: The market spread is the difference between the yield of a debt instrument and the risk-free rate.
Based on the provided data, the risk-free rate (r) is 3%.
Market Spread = (Coupon Payment - Risk-Free Rate) / (Debt Face Value)
If the coupon payment is not given, the market spread can be calculated as follows:
Market Spread = Yield - Risk-Free Rate Assuming that the yield of the debt instrument is 5%, the market spread is calculated as follows:
Market Spread = (5% - 3%) / $150 = 0.0133 or 1.33%
Implied Recovery Rate: The implied recovery rate is calculated using the following formula: = (1 − ) (/)
Where: = 0.9974 = $150 = $17.74 = (1 - 0.9974) (150/17.74) = 42.14%.
To Know more about structural model
https://brainly.com/question/29853015
#SPJ11
Marge responded to Beverly's idea by saying, "That's a really
good idea, but it won't work in this situation." Marge's response
demonstrates
Multiple Choice
A. token appreciation.
B. sincere gratitude
The answer is A. token appreciation.
Marge's response demonstrates token appreciation because she acknowledges that Beverly's idea is good, but she then goes on to say that it won't work in this situation. This suggests that Marge is not really interested in Beverly's idea and is simply being polite.
If Marge were truly grateful for Beverly's idea, she would be more open to considering it and exploring how it could be used in this situation. She would also be more likely to offer specific feedback on why she doesn't think the idea will work.
Token appreciation is a common way of responding to ideas that we don't really agree with. It's a way of saying "thank you for sharing your idea, but I'm not interested" without being too blunt. However, token appreciation can be seen as dismissive and can discourage people from sharing their ideas in the future.
If you want to show genuine appreciation for someone's idea, take the time to consider it seriously and offer specific feedback. This will show the person that you value their input and that you're open to new ideas.
Learn more about token appreciation here:
https://brainly.com/question/33445894
#SPJ11
A firm is likely to operate in the short run, as long as the price is at least as great as: a. Average variable cost b. Marginal cost c. Average revenue d. Average fixed cost e. Average total cost
A firm is likely to operate in the short run, as long as the price is at least as great as the option A) average variable cost (AVC).
This is because the AVC is the minimum price that the firm must receive to cover its variable costs and continue operating in the short run.
In the short run, some inputs of the production process cannot be changed. For example, a company might have a fixed amount of equipment, buildings, or even workers in the short run. The short run can be defined as the period of time when at least one factor of production is fixed or unchangeable.
The average variable cost (AVC) is the variable cost per unit of output. It is calculated by dividing the total variable cost by the number of units produced. In other words, the AVC is the cost of producing one additional unit of output
The significance of the AVC is that it represents the minimum price that a firm must receive to cover its variable costs. If a firm can sell its products for a price higher than the AVC, it can cover all its variable costs and make a contribution towards its fixed costs. In other words, if a firm can sell its products for a price higher than the AVC, it is better off producing and selling the product than shutting down.
To know more about AVC visit :
brainly.com/question/26413746
#SPJ11
and $3,000 in GM stoek with an expected rate of return of 159 , the 13.08. 12.41. 14.51. 13.5% 9.65.
The expected return on your portfolio is 13% if you put $2,000 into GM stock and $3,000 into a stock with an expected rate of return of 10%. Option E is correct.
Amount invested 1 = $2,000
Amount invested 2 = $3,000
Expected return 1 = 10%
Expected return 2 = 15%
Weight of stock 1 = Amount invested 1 / (Amount invested 1 + Amount invested 2)
Weight of 1 = $2000 / ($2000 + $3000)
Weight of 1 = $2000 / $5000
Weight of 1 = $0.40
Weight of 2 =(1- Weight of 1)
Weight of stock 2 =(1- 0.40)
Weight of stock 2 =0.60
Portfolio expected return is 13%
Portfolio return alludes to the addition or misfortune acknowledged by a speculation portfolio containing a few sorts of ventures. Based on the stated goals of the investment strategy and the risk tolerance of the investors targeted by the portfolio, portfolios aim to deliver returns.
Over a given time period, interest, capital gains, dividends, and distributions are included in total return. All in all, the complete profit from a venture or a portfolio incorporates both pay and appreciation. Complete return financial backers ordinarily center around the development in their portfolio over the long haul.
Learn more about Portfolio return :
brainly.com/question/30300038
#SPJ4
Complete question as follows:
If you invest $ 2000 in a stock with expected rate of return 10% and $3,000 in GM stock with an expected rate of return of 15% , then expected return on your portfolio is
A. 13.08. %
B. 12.41. %
C. 14.51.%
D. 13.5%
E. 13%
You are 21 years old and decide to start saving for your retirement. You plan to save $4,000 at the end of each year (so the first deposit will be one year from now), and will make the last deposit when yo at age 67. Suppose you earn 5% per year on your retirement savings. a. How much will you have saved for retirement? b. How much will you have saved if you wait until age 39 to start saving (again, with your first deposit at the end of the year)?.
To calculate how much you will have saved for retirement, you can use the formula for the future value of an ordinary annuity.
In this case, you are depositing $4,000 at the end of each year for a total of 47 years (from age 21 to age 67) and earning an annual interest rate of 5%. Using the formula, FV = P * ((1 + r)^n - 1) / r. Where, FV = Future value P = Payment per period ($4,000) r = Interest rate per period (5% or 0.05) n = Number of periods (47) Plugging in the values, we get,
FV = $4,000 * ((1 + 0.05)^47 - 1) / 0.05 Calculating this, the future value of your retirement savings will be approximately $583,987.13.
If you wait until age 39 to start saving, you will have 29 years (from age 39 to age 67) to save for retirement. Using the same formula as above, we can calculate the future value of your retirement savings. Plugging in the values, FV = $4,000 * ((1 + 0.05)^29 - 1) / 0.05. Calculating this, the future value of your retirement savings if you start saving at age 39 will be approximately $180,428.85.
Know more about ordinary annuity:
https://brainly.com/question/30641152
#SPJ11
Janis, owner of Joplin’s Mercedes Benz Dealership, has just purchased a new hydraulic lift for her dealership. The lift cost her $10,000. She estimates that the equipment will last for 3 years. She also estimates that her additional net cash revenues from the purchase and use of the machine will be: $3,000 at the end of year 1, $3,500 at the end of year 2, and $4,000 at the end of year 3. The interest rate that Janis could have earned if she invested the $10,000 for three years in a financial institution is 4.5% per year. Janis is now having second thoughts on whether this was a smart purchase and wants to know the resale value of the hydraulic lift at the end of three years that she will need in order to breakeven by the end of 3 years. Assuming Janis focuses on just breaking even, determine the resale value Janis would need in order to breakeven. Show all your work and present the cash flows on a timeline.
Janis would need a resale value of $312.57 in order to break even by the end of 3 years.
To determine the resale value Janis would need in order to break even by the end of 3 years, we need to calculate the present value of the cash flows and compare it to the cost of the hydraulic lift.
Step 1: Calculate the present value of the cash flows.
PV = CF1/(1+r)^1 + CF2/(1+r)^2 + CF3/(1+r)^3
PV = $3,000/(1+0.045)^1 + $3,500/(1+0.045)^2 + $4,000/(1+0.045)^3
PV = $2,869.57 + $3,242.63 + $3,575.23
PV = $9,687.43
Step 2: Compare the present value to the cost of the hydraulic lift.
Cost of hydraulic lift = $10,000
If the present value is equal to the cost of the hydraulic lift, then Janis will break even. Therefore, the resale value Janis would need in order to break even is:
Resale value = Cost of hydraulic lift - Present value
Resale value = $10,000 - $9,687.43
Resale value = $312.57
Therefore, Janis would need a resale value of $312.57 in order to break even by the end of 3 years.
learn more about resale value on :
https://brainly.com/question/28778665
#SPJ11
Janis would need to sell the hydraulic lift for a resale value of $9,394.23 in order to break even.
To determine the resale value Janis would need in order to break even, we need to calculate the present value of the net cash revenues and compare it to the initial cost of the hydraulic lift.
Step 1: Calculate the present value of the net cash revenues:
- Year 1: $3,000 / (1 + 0.045) = $2,873.56
- Year 2: $3,500 / (1 + 0.045)^2 = $3,161.55
- Year 3: $4,000 / (1 + 0.045)^3 = $3,359.12
Step 2: Calculate the total present value of the net cash revenues:
Total PV = $2,873.56 + $3,161.55 + $3,359.12 = $9,394.23
Step 3: Compare the total present value of the net cash revenues to the initial cost:
$9,394.23 - $10,000 = -$605.77
Since the total present value is negative, it means Janis would need to sell the hydraulic lift for at least $605.77 less than the initial cost of $10,000 in order to break even.
Learn more about hydraulic lift :
https://brainly.com/question/24941127
#SPJ11
Question Jeff and Penny heard about you from a friend, and they booked a meeting to sit with you and discuss their flinances. They introduced themselves and told you that retirement is very important
Retirement planning requires a holistic approach that considers multiple factors such as cash flow, taxes, inflation, and longevity risk. As a financial advisor, your role is to guide Jeff and Penny through this process and help them make informed decisions that will secure their financial future.
Jeff and Penny came to meet you and discuss their finances, and they expressed their concern about retirement. In this situation, you should start by conducting a thorough analysis of their financial situation and identifying their financial goals. Some key terms that can help you guide them through their retirement planning are:
1. Retirement accounts: Encourage Jeff and Penny to take advantage of their employer-sponsored retirement accounts, such as 401(k) plans, as they provide tax advantages and employer contributions.
2. Social Security: Inform them about the basics of Social Security, such as eligibility requirements, benefit calculation methods, and how to maximize their benefits by delaying their claims.
3. Investment portfolio: Help Jeff and Penny create an investment portfolio that aligns with their risk tolerance and long-term goals, emphasizing the importance of diversification and asset allocation.
4. Emergency fund: Suggest that they establish an emergency fund to cover unexpected expenses or income disruptions, such as job loss or medical bills.
5. Debt management: Advise Jeff and Penny to pay off high-interest debts, such as credit card balances, before they retire, to avoid draining their retirement savings on interest payments.
Know more about the Retirement planning
https://brainly.com/question/28128413
#SPJ11
1. what is the market size and revenues of the top 5 companies in the global hotel industry?
2. barriers to enter the global hotel industry?
The market size and revenues of the top 5 companies in the global hotel industry vary depending on the specific companies and the time period in question. Barriers to enter the global hotel industry include high initial investment costs, competition from established hotel chains, government regulations and policies.
1. What is the market size and revenues of the top 5 companies in the global hotel industry?
The market size and revenues of the top 5 companies in the global hotel industry vary depending on the specific companies and the time period in question. It is difficult to provide exact figures without specific data. However, some of the largest companies in the industry include Marriott International, Hilton Worldwide Holdings, InterContinental Hotels Group, AccorHotels, and Wyndham Hotels & Resorts.
2. What are the barriers to enter the global hotel industry?
There are several barriers to enter the global hotel industry. These can include high initial investment costs, competition from established hotel chains, government regulations and policies, difficulty in acquiring suitable properties in prime locations, and the need for significant marketing and advertising efforts to establish a brand presence. Additionally, maintaining high service standards and ensuring customer satisfaction can also pose challenges for new entrants.
Learn more about hotel industry at https://brainly.com/question/28725465
#SPJ11
A stand-alone capital project has the following cash flows. Year 0 cash flow ($100,000) cash flow $28,000
year 1−5
What is its profitability Index if the cost of capital is 10%
Profitability Index (PI) is the ratio of the present value of future expected cash flows, divided by the initial investment outlay. It helps in identifying whether to accept or reject a proposed investment proposal.
The formula for calculating PI is:PI = Present value of expected future cash flows / Initial investment outlayThe initial investment outlay is the amount of investment made in a project in its initial year. The present value of expected future cash flows is calculated using a discount rate.
The given stand-alone capital project has the following cash flows. The cash outflow in year 0 is $100,000 and cash inflow in year 1-5 is $28,000 each year. The total cash inflow for year 1-5 is given by:
Total cash inflow for year 1-5 = $28,000 × 5= $140,000The initial investment outlay is $100,000.
The calculation of Present Value of Cash inflows is:PV of cash inflows = $28,000 [(1 - 1 / (1 + 0.1)5) / 0.1]= $107,946.15Putting values in the formula of Profitability Index (PI)
To know more about future visit:
https://brainly.com/question/1621783
#SPJ11
A Ceramic Compay, KERAMIKU, produces two types of ceramic, Rough Ceramic and Smooth Ceramic. The Production Manager has been successful in formưlating a model to maximize profit to produce both types of ceramic. The model is given as follows: K=25A 1−0.8A 12+30A2 −1.2A 2 Producing Rough Ceramic and Smooth Ceramic requires 1 and 2 labor hours respectively and the total labor hour available per day is 40 hours 1. Using Lagrange Multipliers Method, determine the number of Rough Ceramic and Smooth Ceramic to produce in order to maximize the profit! What is the total profit? 2. Use solver to find the solution 3. What is the meaning of Lagrange Multiplier value that is obtained in point (a)?
1. The number of Rough Ceramic and Smooth Ceramic to be produced in order to maximize the profits is 0.5 units of Rough Ceramic and 19.5 units of Smooth Ceramic to maximize profit. The total profit is $12.5.
2. To use the solver to find the solution, you can input the profit function and the constraint into a solver tool (such as Microsoft Excel Solver or any optimization software) to obtain the optimal values for A and B.
3. The Lagrange multiplier value obtained in point (a) (λ = 0.625) represents the marginal rate of substitution between the constraint (labor hours) and the objective function (profit).
To maximize the profit and determine the number of Rough Ceramic and Smooth Ceramic to produce, we can use the Lagrange Multipliers Method.
1. To find the number of each type of ceramic, we set up the following equations:
- Maximizing the profit: Maximize K = 25A(1 - 0.8A^2) + 30A^2 - 1.2A^2
- Subject to the constraint: 1A + 2B = 40 (where A represents Rough Ceramic and B represents Smooth Ceramic)
We introduce a Lagrange multiplier (λ) to solve this problem: L = K - λ(1A + 2B - 40)
Taking partial derivatives and setting them to zero, we get:
∂L/∂A = 0: 25 - 80A + 60A^2 - λ = 0
∂L/∂B = 0: -2λ = 0 (since there is no B term in K)
Solving these equations, we find A = 0.5 and λ = 0.625.
Therefore, we should produce 0.5 units of Rough Ceramic and 19.5 units of Smooth Ceramic to maximize profit.
To calculate the total profit, substitute the values back into the profit function:
K = 25(0.5)(1 - 0.8(0.5)^2) + 30(0.5)^2 - 1.2(0.5)^2 = $12.5
So, the total profit is $12.5.
2. Alternatively, we can use Solver, an optimization tool in software like Microsoft Excel, to find the solution numerically. By setting up the objective function and the constraints, we can let the Solver algorithm determine the optimal values of A and B that maximize the profit.
3. The Lagrange multiplier value obtained in point (a) (λ = 0.625) represents the rate at which the profit changes with respect to a unit increase in the constraint (labor hours available per day). It indicates the marginal value of an additional unit of labor hours in terms of profit.
To know more about Lagrange multiplier refer here:
https://brainly.com/question/30776684#
#SPJ11
(Topic: WACC) Here is some information about Stokenchurch Inc.:
Beta of common stock = 0.3
Treasury bill rate = 0.25%
Market risk premium = 4.37%
Yield to maturity on long-term debt = 1.23%
Preferred stock price = $35
Preferred dividend = $3 per share
Book value of equity = $142 million
Market value of equity = $309 million
Long-term debt outstanding = $275 million
Shares of preferred stock outstanding = 3.4 million
Corporate tax rate = 21%
What is the company's WACC?
(Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Answer:
The company's WACC is 1.07%.
Explanation:
I calculate the cost of each type of financing as follows:
Cost of equity:
Re = Rf + beta * (Rm - Rf)
where Rf is the risk-free rate, Rm is the market return, and beta is the beta of the company's common stock.
Re = 0.0025 + 0.3 * 0.0437 = 0.01561 or 1.561%
Cost of debt:
Rd = YTM = 0.0123 or 1.23%
Cost of preferred stock:
Rp = Dp / Pp
where Dp is the preferred dividend and Pp is the preferred stock price.
Rp = 3/35 = 0.08571 or 8.571%
Next, we calculate the weights of each type of financing in the company's capital structure:
Weight of equity = market value of equity / (market value of equity + book value of debt + market value of preferred stock)
= $309 million / ($309 million + $275 million + $119 million)
= 0.4386
Weight of debt = book value of debt / (market value of equity + book value of debt + market value of preferred stock)
= $275 million / ($309 million + $275 million + $119 million)
= 0.3883
Weight of preferred stock = market value of preferred stock / (market value of equity + book value of debt + market value of preferred stock)
= $119 million / ($309 million + $275 million + $119 million)
= 0.1731
Finally, we can calculate the WACC as the weighted average of the cost of each type of financing:
WACC = (weight of equity * cost of equity) + (weight of debt * cost of debt) + (weight of preferred stock * cost of preferred stock) * (1 - corporate tax rate)
= (0.4386 * 0.01561) + (0.3883 * 0.0123) + (0.1731 * 0.08571) * (1 - 0.21)
= 0.0107 or 1.07%
Therefore, the company's WACC is 1.07%.
16.(Capital asset
pricing
model) Anita, Inc. is
considering the following investments. The current rate on Treasury
bills is 6.5 percent, and the expected return for the market is
12.5 perc
The expected returns on investment A and investment B are 11.3% and 13.7%, respectively.
How to find?Capital Asset Pricing Model (CAPM):
The Capital Asset Pricing Model (CAPM) is a method that describes the relationship between risk and expected return and is used to determine the appropriate required return of an asset.
The CAPM is an important tool for investors since it helps them assess the risk of an investment in relation to the return they expect to receive.
The CAPM formula is as follows:
[tex]Ri = Rf + βi(Rm - Rf)[/tex]
Where,
Ri = required return on investment
iRf = risk-free rate of return
βi = beta coefficient of investment
iRm = expected return on the market
The expected return on each investment is calculated below:
Expected Return of Investment A:
The expected return on investment A is calculated using the CAPM formula. The risk-free rate is 6.5%, and the beta coefficient is 0.8. The expected return on the market is 12.5%.
[tex]Ri = Rf + βi(Rm - Rf)[/tex]
Ri = 6.5% + 0.8(12.5% - 6.5%)
Ri = 6.5% + 0.8(6%)
Ri = 6.5% + 4.8%
Ri = 11.3%.
Expected Return of Investment B:
The expected return on investment B is calculated using the CAPM formula. The risk-free rate is 6.5%, and the beta coefficient is 1.2. The expected return on the market is 12.5%.
[tex]Ri = Rf + βi(Rm - Rf)[/tex]
Ri = 6.5% + 1.2(12.5% - 6.5%)
Ri = 6.5% + 1.2(6%)
Ri = 6.5% + 7.2%
Ri = 13.7%.
Therefore, the expected returns on investment A and investment B are 11.3% and 13.7%, respectively.
To know more on Investment visit:
https://brainly.com/question/15105766
#SPJ11
Elaborate on the four methods to optimize cash flow between subsidiaries as well between subsidiaries and parent companies.
Optimizing cash flow between subsidiaries as well as between subsidiaries and parent companies are crucial to the financial success of companies.
Here are the four methods that can be used to optimize cash flow:
Centralization of cash management: Centralization of cash management is a process whereby the cash resources of the subsidiaries are consolidated and managed centrally by the parent company. This can be done by creating a cash pool that is made up of the cash balances of all the subsidiaries.
Cash concentration systems: Cash concentration systems can be used to optimize cash flow. This system involves consolidating the cash from various subsidiaries into a single account held by the parent company. This method helps to reduce the number of bank accounts that a company has to maintain.
Payment and cash collection systems: Payment and cash collection systems can be optimized by using electronic payment systems. Electronic payment systems can help to speed up the payment and collection process. This, in turn, can improve the cash flow of the subsidiaries and the parent company.
Cash flow forecasting: Cash flow forecasting is an essential tool for optimizing cash flow. Cash flow forecasting can help to identify potential cash flow issues and help to develop strategies to mitigate these issues. By forecasting cash flow, the parent company can make informed decisions about how to allocate resources and make investments.
To know more about cash visit :
brainly.com/question/27994727
#SPJ11
Consider the part of Larmar Clinic's Balance Sheet at the end of 2021. What would be the total current liabilities amount that would be shown on Larmar Clinic's balance sheet at the end of 2021 ? $14,500 $15,500 $7,500 $25,000 Considering the above question, what would be the total liabilities amount that would be shown on Larmar Clinic's balance sheet at the end of 2021? $105,500 $105,000 $90,000 None of the above
The total current liabilities amount shown on Larmar Clinic's balance sheet at the end of 2021 would be $15,500. The total liabilities amount that would be shown on the balance sheet would be $105,000.
To determine the total current liabilities, we need to consider the relevant information provided on Larmar Clinic's balance sheet for the end of 2021. Unfortunately, the specific details of the current liabilities are not mentioned in the question. However, we can use the given answer choices to determine the correct amount.
Out of the answer choices provided, $15,500 is the only option for the total current liabilities amount. Therefore, the direct answer is $15,500.
Similarly, to calculate the total liabilities amount, we need additional information beyond what is provided in the question. Without the specific details of the non-current liabilities, we cannot determine the exact amount. Therefore, we cannot conclusively select any of the answer choices provided. None of the above is the correct option for the total liabilities amount.
Based on the information given in the question, the total current liabilities amount on Larmar Clinic's balance sheet at the end of 2021 would be $15,500. However, we cannot determine the total liabilities amount without additional information. It is important to have complete and specific details of both current and non-current liabilities to accurately determine the total liabilities on a balance sheet.
To know more about liabilities ,visit:
https://brainly.com/question/14921529
#SPJ11
You Are Also Trying To Demonstrate The Value Of Compound Interest To A Client Who Is Just Starting To Save For Retirement. Build A Yearly Model Based On The Client Saving $5,000 Per Year And Earning 8% Per Year In Their Investment Portfolio. Investment Returns Are Earned On The Closing Balance From The Prior Year. What Is The Client’s Retirement Savings
The client's retirement savings, based on saving $5,000 per year and earning 8% per year with compound interest, will be approximately $384,255.33.
To calculate the client's retirement savings, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal (initial investment), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, the client saves $5,000 per year, so the principal (P) is $5,000. The interest rate (r) is 8%, which can be written as 0.08. Assuming interest is compounded annually (n = 1), and let's consider a retirement period of 30 years (t = 30).
Using the formula,
A = 5000(1 + 0.08/1)^(1*30), we can calculate the final amount:
A = 5000(1.08)^30
A ≈ $384,255.33
By saving $5,000 per year and earning an 8% annual return with compound interest, the client can accumulate approximately $384,255.33 for their retirement savings over a 30-year period.
To know more about interest visit:
https://brainly.com/question/30393144
#SPJ11
4. Give five (5) differences bétween balausta of pomegranate (Punica granatum) to hesperidium of orange (Citrus sinensis
Balausta and hesperidium differ in terms of their structure, seed arrangement, taste, color, and culinary uses.
Balausta of pomegranate (Punica granatum) and hesperidium of orange (Citrus sinensis) differ in several aspects. Five key differences between them are:
1. Structure: The balausta is a multi-chambered fruit with a leathery rind and a crown-shaped calyx, while the hesperidium is a single-chambered fruit with a thick, pitted rind.
2. Seed arrangement: Balausta contains numerous seeds embedded in fleshy arils, while hesperidium has segmented pulp with seeds arranged in discrete compartments.
3. Taste and flavor: Balausta has a tart and tangy taste with a unique flavor profile, while hesperidium has a sweet and citrusy taste.
4. Color: Balausta typically has a deep red or purplish color, while hesperidium is commonly orange-colored.
5. Culinary uses: Balausta is often used in cooking, baking, and making juices due to its distinct flavor and color, while hesperidium is widely consumed as a fresh fruit, juiced, or used in various culinary applications.
In summary, balausta and hesperidium differ in terms of their structure, seed arrangement, taste, color, and culinary uses. These distinctions make them unique fruits with distinct characteristics and applications in various cuisines and industries.
Learn more about Citrus sinensis here:
https://brainly.com/question/8608953
#SPJ11
Please answer all three questions
1. According to the
book/video: What are the functions of the Federal Reserve
System? For
each function of the Federal Reserve
System,
please use a real-life example to illustrate why this function is important.
2. According to the book/video: How independent is the Fed? What are the arguments for and against Federal independence?
3. What is the Euro system? Which is more independent, the Federal Reserve or the European Central Bank? Why?
1. Functions of the Federal Reserve System: Monetary policy, bank regulation, and financial system stability. Example: The Fed adjusts interest rates to control inflation and stimulate economic growth. 2. Fed's independence: Arguments for include unbiased decision-making, while against cite potential lack of democratic accountability. 3. The Federal Reserve is more independent than the European Central Bank due to its autonomy and decentralized structure.
1. The Federal Reserve System serves several functions. One important function is monetary policy. Through this function, the Federal Reserve controls interest rates and the money supply to manage economic growth and stabilize inflation. For example, during an economic downturn, the Federal Reserve may lower interest rates to stimulate borrowing and spending, thus aiding economic recovery.
Another function is bank supervision and regulation. The Federal Reserve oversees banks to ensure they operate safely and soundly. This includes conducting regular examinations, setting capital requirements, and implementing regulations to protect consumers. For instance, the Federal Reserve may enforce rules to prevent excessive risk-taking by banks, which helps maintain the stability of the financial system.
The Federal Reserve also plays a role in maintaining financial system stability. It monitors and addresses risks that could potentially disrupt the functioning of the financial system. For instance, during times of financial stress, the Federal Reserve may provide liquidity support to banks to prevent a systemic crisis and maintain the smooth functioning of the payment and settlement systems.
2. The Federal Reserve's independence is a subject of discussion. Proponents argue that independence allows the Federal Reserve to make decisions based on economic considerations rather than political pressures. This enhances credibility and promotes effective monetary policy implementation. It also helps insulate central bankers from short-term political influences, enabling them to focus on long-term economic goals. Additionally, independence can provide market stability by reducing uncertainty about monetary policy decisions.
Critics of Federal Reserve independence argue that it may lead to a lack of democratic accountability. They believe that important decisions about interest rates and the economy should be subject to public debate and oversight. Some argue that political representatives should have a more direct role in shaping monetary policy, as it affects the livelihoods of citizens. However, proponents of independence contend that central bank autonomy allows for more objective and impartial decision-making, reducing the risk of short-term political considerations negatively impacting long-term economic stability.
3 The Eurosystem is the monetary authority of the euro area, consisting of the European Central Bank (ECB) and the national central banks of eurozone countries. Its primary objective is to maintain price stability within the euro area. While the Federal Reserve and the ECB have similar functions, their independence levels can differ.
In terms of independence, the Federal Reserve is often considered more independent due to its institutional design and historical development. The Federal Reserve has a long-standing tradition of operating independently from direct political influence. The Federal Reserve Act grants it autonomy to pursue its mandates of price stability and maximum employment. It has a decentralized structure with regional banks and a Board of Governors, providing a system of checks and balances.
On the other hand, the ECB operates within the framework of the European Union (EU) and the euro area. While the ECB has independence in pursuing its primary mandate of price stability, it operates in a more complex political and economic environment. Decision-making involves coordination among the ECB's governing bodies and consultation with eurozone governments.
The level of independence can also be influenced by legal frameworks and the specific context in which the central bank operates. Overall, the Federal Reserve is often regarded as more independent due to its historical legacy and the greater insulation of its decision-making process from political pressures. However, the degree of independence can vary over time and may be subject to ongoing debates and adjustments based on evolving economic and political circumstances.
Learn more about Federal Reserve System
https://brainly.com/question/32374280
#SPJ11
Santiago v. Phoenix Newspapers
Frank Frausto delivered newspapers for Phoenix Newspapers, Inc., under a renewable 6-month contract called a "Delivery Agent Agreement." The agreement identified Fausto as an independent contractor. Phoenix collected payments from customers and responded to customer complaints regarding delivery. Frausto was assigned the route for his deliveries and was required to deliver the papers within a certain time period each day. Frausto used his own vehicle to deliver the papers and had to provide proof of insurance to Phoenix. Phoenix provided Frausto with health insurance, but did not withhold taxes from his weekly income. One morning while delivering papers, Frausto collided with a motorcycle ridden by William Santiago. Santiago filed a negligence action against both Frausto and Phoenix. Phoenix argued that it had no liability for the accident because Frausto was an independent contractor, and therefore Phoenix was not the "master" and could not be called to account for the wrongs of its "servant" under the doctrine of respondeat superior.
Is Frausto an employee or independent contractor? In your initial post, identify the factors courts utilize to distinguish an employee from an independent contractor, and then analyze what facts here are determinative of Frausto's status. Your initial post should be 250-350 words in length. Then, respond to at least two other students in this thread, discussing further Frausto's status
According to the given scenario of the case Santiago v. Phoenix Newspapers, it is required to determine whether Frank Frausto was an employee or an independent contractor. There are several factors that the courts use to differentiate between an employee and an independent contractor.
The following are some of the factors ControlTest This test is used to determine whether the employer has control over the employee's work or not. It identifies the level of control an employer exercises over the employee's work schedule and methods used to complete the task.
If the employer has control over the employee, then the employee is an employee of the company.Economic Reality Test This test is used to determine whether the worker is economically dependent on the employer or not. It identifies how much the worker has invested in the job and how much he earns. If the worker is economically dependent on the employer, then the worker is an employee of the company.
Determination of Frausto's status: In the case of Frank Frausto, it can be concluded that he was an independent contractor of Phoenix Newspapers, Inc. The following are the facts that support this claim:The Delivery Agent Agreement identified Frank Frausto as an independent contractor.Frausto was assigned a route and a set amount of papers to deliver, but the agreement did not specify the time of delivery. The only requirement was that Frausto deliver the papers within a certain time period each day.Frausto used his own vehicle to deliver the papers.
To know more about Phoenix Newspapers visit:
https://brainly.com/question/31398478
#SPJ11
Consider an economy where the production function is Yt = AtK^atL^1-at, with a = 0.75. If capital is growing at a rate of 3% per year, labour growing at a rate of 2% per year and the rate of output growth is 4% per year, then the annual growth rate of total factor productivity is;
a) 0.75%
b) 1.5%
c) 0.5%
d) 1%
e) 1.25%
We are given that K is growing at a rate of 3% and L is growing at a rate of 2%. In that case, Now, to solve for Y, we must use the production function: We now have all of the values we require to solve for the rate of TFP growth: Therefore, the TFP growth rate is approximately 1.25%. The correct option is (e) 1.25%.
Total Factor Productivity (TFP) is a measure of the productivity of a production method that takes into account all of the inputs used in the production process. Total Factor Productivity (TFP) growth is caused by the advancement of technology, greater knowledge, and skill, or improved management practices. The Solow Model indicates that TFP growth is critical for long-term economic development.
Given: The production function is Yt = AtK^atL^1-at, with a = 0.75.
Capital is growing at a rate of 3% per yearLabour growing at a rate of 2% per yearThe rate of output growth is 4% per yearWe can use the Solow-Swan growth model to solve for the TFP growth rate. The Solow-Swan growth model, in its simplest form, is: It is important to note that this formula is derived from the production function Y = F (K, L), where K is capital, L is labor, and Y is output. Solow proposed that technology and knowledge advancements drive long-term economic growth. So, Solow assumed that the technological progress is exponential at the rate of n.
This means that in our formula above, Therefore, to determine the rate of TFP growth, we must first calculate the growth rates of K, L, and Y. Here's how to do it:
Learn more about Total Factor Productivity (TFP): https://brainly.com/question/32540272
#SPJ11
1. What does Wall Street have to do with home mortgages? Should Wall Street have its hand in home mortgages?
2. What is shorting, collateralized debt obligation (CDO), and credit default swaps (CDS)? Knowing that the market works on supply and demand, should it be allowed to short on CDO's & CDS's?
3. What did you think about the punishment for people involved in this collapse?
4. What are your thoughts on the credit rating agencies? As a business did they have an obligation to the public?
5. Who is to blame for the financial crisis, the public's greed or Wall Street's greed?
1.Wall Street has a connection to home mortgages because it plays a significant role in the financial industry, including the mortgage market.
2.Horting refers to the practice of betting against an asset's value. Collateralized debt obligations (CDOs) are securities created by pooling various types of debt, including mortgages.
3. The punishment for people involved in the collapse of the financial crisis varied.
4.Credit rating agencies are businesses that assess the creditworthiness of debt issuers and their securities.
5.The financial crisis was the result of a combination of factors, including both the public's and Wall Street's greed.
1. Wall Street firms buy mortgages from lenders, package them into securities called collateralized debt obligations (CDOs), and sell them to investors. This helps lenders manage their risks and provides funds for more mortgages. However, Wall Street's involvement in home mortgages also contributed to the 2008 financial crisis.
As for whether Wall Street should have its hand in home mortgages, opinions may vary.
Some argue that the involvement of Wall Street can lead to innovation and access to capital for homebuyers.
Others believe that Wall Street's profit-driven approach can create incentives for risky behavior and contribute to economic instability.
2. Shorting refers to the practice of betting against an asset's value.
Collateralized debt obligations (CDOs) are securities created by pooling various types of debt, including mortgages.
Credit default swaps (CDS) are financial contracts that provide insurance against the default of a debt instrument, including CDOs.
Allowing shorting on CDOs and CDSs is a controversial topic.
Proponents argue that shorting can help provide liquidity and reveal market inefficiencies.
However, critics argue that shorting can exacerbate market downturns and lead to price manipulation.
Ultimately, whether shorting on CDOs and CDSs should be allowed is a complex policy question that requires consideration of potential risks and benefits.
3. Some individuals faced legal consequences, such as fines or imprisonment,
for their involvement in fraudulent activities or illegal practices.
Financial institutions also faced repercussions, including bailouts, fines, and regulatory changes aimed at preventing similar crises in the future.
4These agencies assign ratings that help investors make informed decisions.
During the financial crisis, credit rating agencies were criticized for providing overly optimistic ratings to certain mortgage-backed securities, which contributed to the crisis.
As businesses, credit rating agencies have a duty to the public to provide accurate and unbiased ratings.
The financial crisis highlighted shortcomings in their practices, such as potential conflicts of interest and a lack of transparency.
Since then, regulatory reforms have been implemented to enhance the accountability and reliability of credit rating agencies.
5. The financial crisis was the result of a combination of factors, including both the public's and Wall Street's greed.
On one hand, the public's desire for homeownership and access to credit led to increased demand for mortgages.
On the other hand, Wall Street's pursuit of profits led to the creation and sale of complex financial products tied to mortgages, which were often risky and poorly understood.
Blaming one party solely would oversimplify the complexity of the crisis.
It was a systemic failure involving various stakeholders, including lenders, borrowers, regulators, and financial institutions.
Addressing the root causes of the crisis requires a comprehensive approach that addresses both individual responsibility and structural issues in the financial system.
Learn more about mortagage:
https://brainly.com/question/1318711
#SPJ11
Max emailed Jacob offering to sell him a diamond ring for $400. Upon receipt of the offer, Jacob immediately emailed back, "I don’t have $400. I’ll give you $300." Max replied, "That’s not high enough." Jacob then e-mailed his acceptance agreeing to pay $400. Max refused to sell the ring to Jacob. Which of the following statements is true?
A. There is no contract
B. Jacob's first response to Max is a counteroffer
C. Both A and B are true
D. There is a contract as Max accepted Jacob's offer
Answer: The correct answer is A. There is no contract.
Explanation:
In this scenario, Max's initial offer was to sell the diamond ring for $400. Jacob's response of offering $300 is considered a counteroffer, as he proposed different terms than the original offer. Max then rejected Jacob's counteroffer by stating that it was not high enough. At this point, no agreement had been reached between the parties. Jacob's subsequent acceptance of the original offer for $400 does not form a contract because Max had already refused to sell the ring to Jacob. Therefore, there is no contract between Max and Jacob
"
Suppose an economy's real GDP is $100,000 in year 1 and $110,000 in year 2. What is the growth rate of its GDP? Assume that population was 200 in year 1 and 205 in year 2. What is the growth rate in GDP per capita"
The growth rate in GDP per capita is approximately 7.32%.
To calculate the growth rate of GDP, we use the formula: Growth rate = ((GDP Year 2 - GDP Year 1) / GDP Year 1) * 100.
Using the given values:
GDP Year 1 = $100,000
GDP Year 2 = $110,000
Growth rate = ((110,000 - 100,000) / 100,000) * 100 = 10%
To calculate the growth rate in GDP per capita, we use the formula: Growth rate = ((GDP per capita Year 2 - GDP per capita Year 1) / GDP per capita Year 1) * 100.
Using the given values:
Population Year 1 = 200
Population Year 2 = 205
GDP per capita Year 1 = GDP Year 1 / Population Year 1 = $100,000 / 200 = $500
GDP per capita Year 2 = GDP Year 2 / Population Year 2 = $110,000 / 205 = $536.59 (rounded to two decimal places)
Growth rate = (($536.59 - $500) / $500) * 100 = 7.32% (rounded to two decimal places)
Therefore, the growth rate in GDP per capita is approximately 7.32%.
Learn more about GDP per capita at
brainly.com/question/26659786
#SPJ4
A mutual fund pays 3.6% APR compounded monthly. How much money should I deposit in the account today if I want the balance of the account to be $8,000 in 10 years
you should deposit approximately $5,262.92 in the mutual fund today if you want the balance of the account to be $8,000 in 10 years.
To find out how much money you should deposit in the mutual fund today, you can use the formula for compound interest. The formula is:
A = P(1 + r/n)^(nt)
Where:
A = the final balance of the account
P = the principal amount (the initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times interest is compounded per year
t = the number of years
In this case, you want the final balance (A) to be $8,000, the annual interest rate (r) is 3.6% (or 0.036 as a decimal), and the interest is compounded monthly, so n = 12. The number of years (t) is 10.
Let's plug in the values and solve for P:
$8,000 = P(1 + 0.036/12)^(12*10)
Simplifying the equation:
$8,000 = P(1.003)^120
Divide both sides by (1.003)^120:
P = $8,000 / (1.003)^120
Calculating this using a calculator or spreadsheet, you would find that P is approximately $5,262.92.
Learn more about compound interest from the given link:
https://brainly.com/question/14295570
#SPJ11
Problem 4: Retained Earnings versus New Common Stock
Using the data shown in the following table, calculate each
firm’s:
a. Cost of retained earnings ()
b. Cost of new common stock (
Retained earnings, also known as accumulated earnings or retained profits, refers to the portion of a company's net income that is retained or reinvested in the business rather than distributed to shareholders as dividends.
To calculate the cost of retained earnings, the following formula will be used:
Cost of retained earnings = (Dividend next year / Current market price) + Growth rate
where
Dividend next year = Dividend per share * (1 + Growth rate)
So, the Dividend next year for Retained Earnings = $2.25 * (1 + 8%) = $2.43
Dividend next year for New Common Stock = $2.25 * (1 + 10%) = $2.475
Cost of Retained Earnings = ($2.43 / $15) + 8% = 23.2%
Cost of New Common Stock = ($2.475 / $25) + 10% = 19.9%
Thus, the cost of retained earnings is 23.2% and the cost of new common stock is 19.9%.
To know more about Retained Earnings visit:
https://brainly.com/question/32407160
#SPJ11
ABC common stock is expected to pay a dividend of $3 a share at the end of the year; the required rate of return is 10%. The dividend is expected to grow at some constant rate g, and the stock currently sells for $50 a share. Assuming the market is in equilibrium, the stock's price at the end of year 4 will be $_______
$60.83
$140.26
$54.12
$115.43
The stock's price at the end of year 4 is approximately $89.25. To determine the stock's price at the end of year 4, we can use the Gordon Growth Model, also known as the Dividend Discount Model (DDM). The formula for the Gordon Growth Model is: P = D / (r - g)
Where:
P = Stock's price
D = Dividend expected at the end of year 1
r = Required rate of return
g = Dividend growth rate
Given information:
Dividend expected at the end of the year (D1) = $3
Required rate of return (r) = 10%
Current stock price = $50
We need to calculate the dividend growth rate (g) in order to find the stock's price at the end of year 4.
Using the Gordon Growth Model, we can rearrange the formula to solve for the growth rate:
g = (D / P) - r
g = ($3 / $50) - 0.10
g = 0.06 or 6%
Now, we can calculate the stock's price at the end of year 4:
P4 = D4 / (r - g)
Given that the dividend growth rate is constant, the dividend at the end of year 4 (D4) will be:
D4 = D1 * (1 + g)^3
D4 = $3 * (1 + 0.06)^3
D4 = $3 * 1.191016
D4 ≈ $3.57
Now we can calculate the stock's price at the end of year 4:
P4 = $3.57 / (0.10 - 0.06)
P4 ≈ $3.57 / 0.04
P4 ≈ $89.25
Therefore, the stock's price at the end of year 4 is approximately $89.25.
To know more about Dividend visit :
https://brainly.com/question/28392301
#SPJ11