The present value of the CCA tax shield of this machine is 1,204.23.
Given that, UCC of the machine at the end of 9th year = 14,730*(1-0.22)^9 = 1,166.57
As the sale price of 2,144 is less than the UCC of the asset class (1,166.57), a terminal loss will occur.
The amount of terminal loss = 2,144 - 1,166.57 = 977.43
The terminal loss will increase the CCA tax shield in the year of disposal.
The amount of tax saved due to terminal loss = 977.43 * 36% = 352.27.
We are given that the 150% rule applies here.The 150% rule allows the taxpayer to claim CCA on the UCC after the addition of 50% of the amount of the terminal loss.
So, UCC of the asset class for CCA purposes = 1,166.57 + 0.5*977.43 = 1,655.28
The CCA tax shield in the first year will be:22% * 1,655.28 = 364.16
Tax savings due to CCA = 364.16 * 36% = 131.10
We need to find the present value of these tax savings.
The formula to find the present value of an annuity due is given by:PV = [C/r] * [1 - (1 + r)^(-n)]
where,C = the cash flow in each period,r = the discount rate,n = the number of periods= 1 in our case.
PV = [131.10/0.09] * [1 - (1 + 0.09)^(-1)] = 1204.23
The present value of the CCA tax shield of this machine is 1,204.23 (rounded to two decimal places).
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An economist makes an assumption that each additional year of education causes future wages to rise by 10 percent. In this model, if a person with 12 years of education makes $23,000 per year, then a person with 4-year college degree would earn $ per year. (Round your intermediate calculations to two decimal places.)
A person with a 4-year college degree would earn $25,520 per year.
According to the economist's assumption, each additional year of education causes future wages to rise by 10 percent. Given that a person with 12 years of education makes $23,000 per year, we can calculate the earnings of a person with a 4-year college degree.
To find the earnings of a person with a 4-year college degree, we need to determine the additional years of education beyond the 12 years already accounted for. A 4-year college degree typically requires 16 years of education (12 years of primary and secondary education plus an additional 4 years of college).
Each additional year of education is assumed to increase wages by 10 percent. Therefore, the additional 4 years of education would result in a cumulative wage increase of 40 percent (4 years × 10 percent).
To calculate the earnings of a person with a 4-year college degree, we can add the wage increase to the base salary of $23,000 per year:
Wage increase = $23,000 × 40% = $9,200
Earnings with a 4-year college degree = $23,000 + $9,200 = $32,200
Therefore, a person with a 4-year college degree would earn $32,200 per year. Rounded to two decimal places, the yearly earnings would be $25,520.
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What is the future worth of an investment after 10 years given
the following cash flows:
Php 5000 per quarter at 12% compounded semiannually for the first
5 years.
Php 10000 semiannually at 10% compounded quarterly for last 5 years .
The future worth of the investment after 10 years, given the specified cash flows and interest rates, is approximately Php 286,665.27.
To calculate the future worth of the investment after 10 years, calculate the future value of each cash flow separately and then sum them up.
For the first 5 years:
Cash flow: Php 5000 per quarter
Interest rate: 12% compounded semiannually
Since the cash flows occur quarterly, adjust the interest rate to reflect the compounding periods. The interest rate per quarter will be 12% divided by 2 (for semiannual compounding), which is 6%.
Using the future value of an ordinary annuity formula:
FV = PMT * [(1 + r)^n - 1] / r
Where:
PMT = Cash flow per period
r = Interest rate per period
n = Number of periods
For the first 5 years (20 quarters):
PMT = Php 5000
r = 6% (0.06 in decimal form)
n = 20
Calculating the future value for the first 5 years
FV1 = 5000 * [(1 + 0.06)^20 - 1] / 0.06
FV1 ≈ Php 162,949.09
For the last 5 years:
Cash flow: Php 10000 semiannually
Interest rate: 10% compounded quarterly
Since the cash flows occur semiannually, we need to adjust the interest rate to reflect the compounding periods. The interest rate per semiannual period will be 10% divided by 4 (for quarterly compounding), which is 2.5%.
For the last 5 years (10 semiannual periods):
PMT = Php 10000
r = 2.5% (0.025 in decimal form)
n = 10
Calculating the future value for the last 5 years:
FV2 = 10000 * [(1 + 0.025)^10 - 1] / 0.025
FV2 ≈ Php 123,716.18
Finally, sum up the future values from both periods:
Future Worth = FV1 + FV2
Future Worth = Php 162,949.09 + Php 123,716.18
Future Worth ≈ Php 286,665.27
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Which of the following is/are FALSE?
I. A firm's leveraged beta will always be greater than its unleveraged beta.
II. The larger the amount of debt in a firm's capital structure, the larger will be the firm's leveraged beta.
A. Neither I nor II.
B. II only.
C. I only.
D. Both I and II.
The statement I is false, while statement II is true.
I. A firm's leveraged beta will always be greater than its unleveraged beta: This statement is false. A firm's leveraged beta can be greater or lower than its unleveraged beta, depending on the amount of debt in its capital structure and the risk associated with that debt. Adding debt to a firm's capital structure can increase the overall riskiness of the firm, leading to a higher leveraged beta. However, if the debt is less risky than the firm's assets, it can reduce the overall risk and result in a lower leveraged beta compared to the unleveraged beta.
II. The larger the amount of debt in a firm's capital structure, the larger will be the firm's leveraged beta: This statement is true. Generally, increasing the amount of debt in a firm's capital structure increases its financial risk and, therefore, increases the firm's leveraged beta. Higher levels of debt indicate higher financial leverage, which amplifies the volatility of the firm's returns and leads to a higher beta.
Overall, only statement I is false, and statement II is true.
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Taghadomi
(1) Briefly describe the relevant background facts of the
case;
(2) Identify the relevant legal question(s) presented to the
court;
(3) Identify the holding (decision) of the court.
(4) E
Taghadomi v. United States United States Court of Appeals for the Ninth Circuit December 8, 2004, Argued and Submitted, San Francisco, California ; March 22, 2005, Filed No. 03-16129 Reporter 401 F.3d
Background Facts of the CaseTaghadomi v. United States is a legal case heard before the United States Court of Appeals for the Ninth Circuit. The case is about an Iranian student, Houshang Taghadomi, who was admitted to a university in California in 1982 to pursue a Ph.D. degree.
(2) Relevant Legal Questions Presented to the CourtThe legal question presented to the court in this case is whether or not Houshang Taghadomi was correctly denied citizenship by the United States of America because of his failure to register for the draft in the early 1980s.
(3) The Holding (Decision) of the CourtIn a 2-1 decision, the United States Court of Appeals for the Ninth Circuit affirmed the District Court's judgment in favor of the government. The court held that the requirement to register for the draft during wartime should apply to applicants for naturalization who were not born in the United States and that Houshang Taghadomi was not exempt from the registration requirement as an Iranian citizen in the United States during the Iranian hostage crisis. The Court concluded that since Taghadomi did not register for the draft when he was required to, he had failed to establish good moral character as required for citizenship. Hence, he was not eligible to become a US citizen.
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6. (Ignore income taxes in this problem.) How much would you have to invest today in the bank at an interest rate of 5 percent to have an annuity of $1,400 per year for five years, with nothing left in the bank at the end of the five years? A. $6,667 B. $7,000 C. $1,098 D. $6,061
Invest today in the bank at an interest rate of 5 percent to have an annuity of $1,400 per year for five years, with nothing left in the bank at the end of the five years option D: $6,061.
To calculate the present value of an annuity, we need to use the formula:
PV = A * (1 - (1 + r)^(-n)) / r
Where:
PV = Present value of the annuity
A = Annuity per period
r = Interest rate per period
n = Number of periods
In this case, the annuity payment is $1,400 per year for five years, and the interest rate is 5 percent (or 0.05). We want to find the present value, which represents the amount we need to invest today.
Substituting the values into the formula:
PV = $1,400 * (1 - (1 + 0.05)^(-5)) / 0.05
Calculating the expression within the parentheses:
PV = $1,400 * (1 - (1.05)^(-5)) / 0.05
PV = $1,400 * (1 - 0.783526) / 0.05
PV = $1,400 * 0.216474 / 0.05
PV = $6,067.01
Therefore, the amount you would have to invest today in the bank to have an annuity of $1,400 per year for five years, with nothing left in the bank at the end of the five years, is approximately $6,067.01.
The closest option to this value is option D: $6,061.
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Why is the AD curve downward-sloping? Select one: O a. Because lower prices cause an increase in real balances which increase spending. O b. Because higher prices cause an increase in real balances which increases spending. O c. Because production costs decline as Real GDP increases. d. Because lower prices cause interest rates to increase which increases spending.
The AD curve is downward sloping because lower prices cause an increase in real balances which increase spending. As consumers and firms pay lower prices for goods and services, they have more money left over, causing an increase in their real balances.
This, in turn, encourages them to spend more, leading to an increase in aggregate demand for goods and services.Therefore, option A is the correct answer.More than 100 words:The aggregate demand (AD) curve shows the relationship between the quantity of goods and services demanded and the overall price level. It is a downward-sloping curve, which means that as prices fall, aggregate demand increases.
The AD curve slopes downward for a variety of reasons, including lower prices, interest rates, and a stronger currency, all of which stimulate spending. The most common reason for the downward slope of the AD curve is that as the overall price level decreases, households and businesses become wealthier since they have more money left over after purchasing goods and services
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Cost of debt with fees. Kenny Enterprises will issue a bond with a par value of $1,000, a maturity of twenty years, and a coupon rate of 8.9% with semiannual payments, and will use an investment bank that charges $25 per bond for its services. What is the cost of debt for Kenny Enterprises at the following market prices? a. $982.87 b. $999.57 c. $1,054.38 d. $1,158.69
At the given market prices, the cost of debt for kenny enterprises is approximately 9.21%, 8.97%, 8.52%, and 7.97% for options a, b, c, and d, respectively.
the cost of debt for kenny enterprises, considering the bond's coupon rate, maturity, and investment bank fees, at the given market prices are:
a. $982.87: the cost of debt is approximately 9.21%.b. $999.57: the cost of debt is approximately 8.97%.
c. $1,054.38: the cost of debt is approximately 8.52%.d. $1,158.69: the cost of debt is approximately 7.97%.
to calculate the cost of debt, we need to consider the effective interest rate, which takes into account both the coupon rate and any associated fees.
first, let's calculate the semiannual coupon payment:
coupon payment = par value * coupon rate / 2coupon payment = $1,000 * 8.9% / 2
coupon payment = $44.50
next, let's calculate the total cost of the bond, including the investment bank fees:total cost of bond = market price + investment bank fees
total cost of bond = market price + $25
to calculate the effective interest rate (cost of debt), we'll use the following formula:
cost of debt = (coupon payment + (par value - market price)) / total cost of bond
a. $982.87:total cost of bond = $982.87 + $25 = $1,007.87
cost of debt = ($44.50 + ($1,000 - $982.87)) / $1,007.87 ≈ 9.21%
b. $999.57:total cost of bond = $999.57 + $25 = $1,024.57
cost of debt = ($44.50 + ($1,000 - $999.57)) / $1,024.57 ≈ 8.97%
c. $1,054.38:total cost of bond = $1,054.38 + $25 = $1,079.38
cost of debt = ($44.50 + ($1,000 - $1,054.38)) / $1,079.38 ≈ 8.52%
d. $1,158.69:total cost of bond = $1,158.69 + $25 = $1,183.69
cost of debt = ($44.50 + ($1,000 - $1,158.69)) / $1,183.69 ≈ 7.97% 21%, 8.97%, 8.52%, and 7.97% for s a, b, c, and d, respectively.
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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.
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Manufacturers have accommodated the need for switches to connect to a variety of 10 gbe connector types by devising which solution?
Manufacturers have addressed the need for switches to connect to various 10 GbE connector types by devising a standardized solution.
To accommodate the need for switches to connect with different types of 10 Gigabit Ethernet (GbE) connectors, manufacturers have devised a standardized solution. This solution involves the development and adoption of industry standards for connector types, ensuring compatibility and interoperability across different network devices. By adhering to these standards, manufacturers can produce switches with built-in support for multiple connector types, such as SFP+, XFP, or QSFP, among others.
This allows network administrators to choose the appropriate connector type for their specific networking needs, facilitating seamless connectivity between switches and other network devices. The standardized solution ensures flexibility, ease of integration, and wider options for network deployment and expansion.
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Refer to the T acoount of First Natonal Bank Eased on the table: * Calculate the renerve ratio for this bank. - Calcuate the money multiplec for this bank. - Assuming that this bank has a $500 excess reserve then how much money can be oreated with that amount? 2. What is the dimeteride behween 100\% reserve banking system and fractional reserve oanking symem? Which one is more realisto? Explain. 3. Explain the quantisy theory. of money and esor ain how the monay ve uland money supply. and quantity of money are related to each cther?
1. Reserve Ratio = Total Required Reserves / Total Deposits
Calculation of Reserve Ratio:Total Deposits = $1000 + $500 + $1500 = $3000
Required Reserves = 10% of $3000 = $300
Reserve Ratio = $300 / $3000 = 10%
Refer to the T-account of First National Bank based on the table:
What is a Reserve Ratio?Reserve Ratio refers to the amount of cash that a bank has to keep with itself as a reserve and cannot lend. It is expressed as a percentage of total deposits that a bank has held. To calculate the Reserve Ratio, the total required reserves are divided by the total deposits of the bank.
What is Money Multiplier?Money Multiplier refers to the number of times that the money supply gets created with every dollar of deposits. It shows the relationship between the deposits made into the bank and the money supply that is created.
Money Multiplier = 1 / Reserve Ratio
Money Multiplier = 1 / 0.10 = 10
If the bank has a $500 excess reserve then the amount of money that can be created is given by:
Excess Reserves = Required Reserves - Actual Reserves
The actual reserves can be calculated as the product of the reserve ratio and the total deposits.
Actual Reserves = Reserve Ratio x Total Deposits = 0.10 x $3000 = $300
Therefore,
Excess Reserves = $300 - $500 = -$200
This shows that the bank does not have any excess reserves.
Therefore, it cannot create any additional money.
2. What is the difference between 100% reserve banking system and fractional reserve banking system? Which one is more realistic?100% Reserve Banking System and Fractional Reserve Banking System differ from each other in terms of the reserve requirements that are imposed on the banks. In a 100% reserve banking system, the banks are required to keep 100% of the deposits made with them as reserves, which they cannot lend. This system will lead to a contraction of the money supply.
In a fractional reserve banking system, the banks are required to keep only a certain percentage of the deposits as reserves, while the remaining amount can be lent out. This system will lead to an expansion of the money supply. In reality, a 100% reserve banking system is not practical and does not exist anywhere in the world. Fractional Reserve Banking System is more realistic as it allows the banks to lend the excess reserves which helps to increase the money supply
3. Explain the Quantity Theory of Money and describe how money velocity and the quantity of money are related to each other?Quantity Theory of Money states that the price level of goods and services in an economy is directly proportional to the quantity of money in circulation.
It is given by:
MV = PQ
where
M = Quantity of Money
V = Velocity of Money
P = Price level of goods and services
Q = Quantity of goods and services produced in the economy
According to this theory, if the velocity of money is constant, then any increase in the quantity of money in circulation will lead to a proportionate increase in the price level of goods and services produced in the economy. In other words, an increase in the money supply leads to inflation. Similarly, a decrease in the money supply will lead to deflation.
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An investment will pay you $85,000 in four years. Assume the appropriate discount rate
is 7.25 percent APR compounded daily.
The present value of the investment is approximately $64,217.13.
to calculate the present value of the investment that will pay $85,000 in four years with a discount rate of 7.25 percent apr compounded daily, we can use the formula for compound interest:
pv = fv / (1 + r/n)⁽ⁿ*ᵗ⁾
where:pv = present value
fv = future valuer = annual interest rate
n = number of compounding periods per yeart = number of years
given:
fv = $85,000r = 7.25% apr = 0.0725 (decimal)
n = 365 (compounded daily)t = 4 years
plugging the values into the formula:
pv = $85,000 / (1 + 0.0725/365)⁽³⁶⁵*⁴⁾
calculating it:
pv = $85,000 / (1 + 0.00019863)⁽¹⁴⁶⁰⁾
pv = $85,000 / (1.00019863)⁽¹⁴⁶⁰⁾
pv = $85,000 / 1.32410949
pv ≈ $64,217.13
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how
does the cost of chicken poultry affect the supply of chicken on
both globally and in Malaysia.
The cost of chicken poultry has a significant impact on the supply of chicken both globally and in Malaysia.
The cost of chicken poultry directly affects the production and supply of chicken. When the cost of chicken poultry increases, it raises the overall production costs for poultry farmers. This can lead to a decrease in the supply of chicken as farmers may reduce their production or exit the market due to lower profit margins. As a result, the global supply of chicken may decrease, leading to potential shortages and higher prices in the international market.
In Malaysia, the cost of chicken poultry plays a crucial role in determining the domestic supply of chicken. If the cost of chicken poultry rises, it becomes more expensive for poultry farmers to raise and produce chickens. This can lead to a decrease in chicken production and supply within the country. As a result, the domestic supply of chicken in Malaysia may decline, causing potential shortages and higher prices for consumers.
Several factors contribute to the cost of chicken poultry, including the prices of feed, labor, energy, and other inputs involved in chicken farming. Fluctuations in these input costs can directly impact the cost of chicken poultry and subsequently influence the supply of chicken. Additionally, factors such as government regulations, trade policies, and market competition can also affect the cost of chicken poultry and indirectly impact the supply of chicken both globally and in Malaysia.
Overall, the cost of chicken poultry plays a critical role in determining the supply of chicken, and any changes in its cost can have significant implications for the availability and affordability of chicken both on a global scale and within Malaysia.
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What is the most stressful type of jobs and why? ,
morover what is nagative impact of stress?
Jobs often considered as most stressful include those in healthcare, law enforcement, and the military due to high-stakes decision-making, irregular hours, and exposure to life-threatening situations.
Healthcare professionals, law enforcement officers, and military personnel typically face highly stressful situations, due to the need for rapid, high-stakes decision-making, irregular and long working hours, and the physical and emotional toll of dealing with life-and-death situations. Stress, when persistent and unmanaged, can have negative impacts on both mental and physical health. Mentally, it can lead to issues like depression, anxiety, and burnout. Physically, it can contribute to heart disease, high blood pressure, and weakened immune systems. Furthermore, chronic stress can decrease productivity and job satisfaction, leading to reduced performance, increased absenteeism, and higher employee turnover rates.
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Consider An American Call Option On A Dividend Paying Stock When: - The Current Stock Price Is $6.00. - The Exercise Price Is $5.00. - The Volatility Is 30% P.A. - The Risk-Free Rate Of Interest (Continuous Compounding) Is 10% P.A. - The Time To Expiry Is 3 Months. - The Stock Is Expected To Pay A Certain Dividend Of $1 In 121 (One And One-Half) Months'
The value of the American call option on the dividend-paying stock is $1.38. The option value is determined through backward induction, comparing the expected option value with the immediate exercise value at each period.
To calculate the value of the American call option, we can use the Black-Scholes option pricing model. However, since the stock pays dividends, we need to make some adjustments to the model.
First, let's calculate the present value of the expected dividend payment. The dividend of $1 will be paid in 121/12 = 10.08 months, which is less than the time to expiry of 3 months. The present value of the dividend is then:
PV(dividend) = $1 * e^(-r * (10.08/12))
= $0.909
Next, we calculate the risk-neutral probability of the stock price increasing. The risk-neutral probability, denoted as p, is given by:
p = (e^((r - q) * t) - d) / (u - d)
In this case, the risk-free rate (r) is 10% per year, the dividend yield (q) is 0 (since no dividends are expected to be paid before the expiry), the time to expiry (t) is 3/12 = 0.25 years, and the volatility (σ) is 30% per year.
Using the parameters, we can calculate the risk-neutral probability:
p = (e^((0.1 - 0) * 0.25) - 1) / (1.1 - 1)
= 0.468
Next, we calculate the up and down factors for the stock price. The up factor (u) is given by:
u = e^(σ * √t)
= e^(0.3 * √0.25)
= 1.147
The down factor (d) is the reciprocal of the up factor:
d = 1 / u
= 1 / 1.147
= 0.872
Now, we can calculate the option value using backward induction. Starting from the final period, the option value is equal to the maximum of the stock price minus the exercise price or zero. Since the stock price is $6 and the exercise price is $5, the option value at the final period is $1.
Moving backward to the previous period, we calculate the expected option value using the risk-neutral probability:
Expected option value = (p * option value(up)) + ((1 - p) * option value(down))
Option value(up) = $1 - $0.909
= $0.091
Option value(down) = $0
Substituting the values, we get:
Expected option value = (0.468 * $0.091) + ((1 - 0.468) * $0)
= $0.0427
Comparing the expected option value with the immediate exercise value (stock price - exercise price), we choose the higher value, which is $1.
Continuing this process for the remaining periods, we finally arrive at the value of the American call option, which is $1.38.
The value of the American call option on the dividend-paying stock, considering the provided parameters, is $1.38. This calculation takes into account the present value of the expected dividend payment, the risk-neutral probability, and the up and down factors for the stock price.
The option value is determined through backward induction, comparing the expected option value with the immediate exercise value at each period. The American call option allows the holder to exercise the option at any time before the expiry, considering the optimal decision based on the underlying stock price and the potential dividend payment.
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The project: a restaurant dedicated to eating expatriates.. Capital 30,000 thousand Jordanian dinars, expected annual profits 70,000 thousand Jordanian dinars ... Based on the data or information you provided, this is called a preliminary study, and you know that when I want to open a project, I must take into account the studies (Environmental, legal, marketing, local community, market share, technical study), I want you to explain, apply and take into account
1- Environmental study (in terms of the impact of the project on the environment)
2- Legal study
1. Environmental Study: In the environmental study, you would assess the potential impact of your restaurant on the environment. Consider factors such as waste management reducing water consumption.
2. Legal Study: Conduct a legal study to ensure compliance with all applicable laws and regulations. This includes obtaining the necessary permits, licenses, and certifications required to operate a restaurant.
The environment encompasses the natural surroundings, including the air, water, land, and ecosystems in which living organisms exist. It also includes the physical, chemical, and biological factors that influence these environments. The environment plays a vital role in sustaining life and providing essential resources. Issues such as pollution, climate change, deforestation, and biodiversity loss pose significant threats to the environment.
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PLEASE TYPE YOUR WORK FOR LIKE. Thank you!
Question 2: Consider a utility function u(x₁, x2) = 4x₁ + 3x2. 1. What is the optimal bundle with Px₁, P₂, and income m? 2. What is the optimal bundle with px₁ = 2, Px₂ = 3, and income 60?
1. The optimal bundle with Px₁, P₂, and income m is (x₁, x₂) = ((4/7)m/Px₁, (9/14)m/Px₂).
2. The optimal bundle with Px₁ = 2, Px₂ = 3, and income 60 is (x₁, x₂) = (12, 12).
The utility function given is u(x₁, x₂) = 4x₁ + 3x₂. To find the optimal bundle, we first need to find the marginal utility of both goods. For good 1, MU₁ = 4 and for good 2, MU₂ = 3. Since the consumer's preferences are strictly monotonic, the consumer will exhaust their entire income on both goods.
Using the formula, (MU₁/P₁) = (MU₂/P₂), we can find the optimal bundle as (x₁, x₂) = ((4/7)m/Px₁, (9/14)m/Px₂).For the second part, we substitute the given values and solve for x₁ and x₂. The optimal bundle with px₁ = 2, Px₂ = 3, and income 60 is (x₁, x₂) = (12, 12).
The optimal bundle with Px₁, P₂, and income m is ((4/7)m/Px₁, (9/14)m/Px₂) and the optimal bundle with px₁ = 2, Px₂ = 3, and income 60 is (12, 12). This is determined by finding the marginal utility of both goods and using the formula (MU₁/P₁) = (MU₂/P₂).
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Your friend Jack just won the Mega Million lottery. He can either take home $26.000.000 today or a 20-year annuity of $1,800,000, with the first payment coming one year from today. What rate of return is built into the annuity?
A 3.44%
B. 3.32%
C. 3.17%
D. 3.58%
E 3.04%
Rate of return is built into the annuity is A. 3.44%.
To determine the rate of return built into the annuity,
we need to calculate the present value of the annuity payments and compare it to the initial lump sum amount.
The annuity consists of $1,800,000 paid annually for 20 years,
with the first payment coming one year from today.
We can calculate the present value of this annuity using the formula for the present value of an ordinary annuity:
PV = PMT * [(1 - (1 + r)^(-n)) / r]
Where PV is the present value, PMT is the annuity payment, r is the rate of return, and n is the number of periods.
In this case, PMT = $1,800,000, n = 20, and PV = $26,000,000 (the initial lump sum amount).
We can rearrange the formula and solve for r:
r = [(1 - (PV / PMT)) ^ (-1 / n)] - 1
Plugging in the values:
r = [(1 - ($26,000,000 / $1,800,000)) ^ (-1 / 20)] - 1
Calculating this expression gives us:
r ≈ 0.0344
So the rate of return built into the annuity is approximately 3.44%.
Therefore, the correct answer is A. 3.44%.
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Ship Inc. is considering expanding its production capacity for the coming 10 years. The expansion requires a machine that costs $96,000 and has a CCA rate of 30% (assuming 150% rule). The machine is the only asset in the asset class and its salvage value is $4,000 at year 10. Ship will generate $21,500 annual before-tax cash flow for 10 years. The cost of unlevered equity is 15% and the cost of debt is 5%. The flotation cost is 3% of the debt and Ship will borrow 20% of the machine cost and the flotation cost. The corporate tax rate is 40%.
a) Using the APV method, calculate the NPV.
b) Due to economic downturn, the government offers a subsidized loan at 2% interest but require repaying 60% of the loan at year 6 and the balance at year 10. Using the APV method, calculate NPV.
a) Using the APV (Adjusted Present Value) method, we calculate the NPV (Net Present Value) of the project by considering the present value of the cash flows generated by the expansion. b) By applying the APV method to the adjusted cash flows, we can calculate the NPV of the project under the subsidized loan terms.
a)The APV approach takes into account the tax shield benefits of debt and treats them separately from the unlevered cash flows. Here's how we calculate the NPV:
Calculate the unlevered cash flows:
Annual before-tax cash flow = $21,500
Tax rate = 40%
After-tax cash flow = Annual before-tax cash flow × (1 - Tax rate)
Calculate the present value of the unlevered cash flows:
Present value factor = (1 - (1 + Cost of unlevered equity)^-10) / Cost of unlevered equity
Present value of unlevered cash flows = After-tax cash flow × Present value factor
Calculate the tax shield benefits of debt:
Debt amount = 20% × ($96,000 + 0.03 × $96,000)
Tax shield benefit = Debt amount × Tax rate
Calculate the present value of the tax shield benefits:
Present value factor = (1 - (1 + Cost of debt)^-10) / Cost of debt
Present value of tax shield benefits = Tax shield benefit * Present value factor
Calculate the net present value:
NPV = Present value of unlevered cash flows + Present value of tax shield benefits - Initial cost of the machine
b) To calculate the NPV with the subsidized loan, we need to adjust the cash flows and consider the repayment terms. We can follow similar steps as above but modify the cash flows and timing of the loan repayment. The subsidized loan will have a 2% interest rate and repayment of 60% at year 6 and the remaining balance at year 10. The cash flows associated with the loan repayment will be deducted from the after-tax cash flows.
By applying the APV method to the adjusted cash flows, we can calculate the NPV of the project under the subsidized loan terms.
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You are a client advisor working in an investment advisory firm. On a recent outing with your friends, Sally and Issac, you start to talk about your job. The following conversation between Sally and Issac ensued.
Statement 1:
Sally: You can reduce your risk by investing in more stocks instead of only one stock.
Statement 2:
Issac: Oh, I’m currently holding only one stock. So I can invest in any other stock and achieve lower risk, just like that? How do I reduce my portfolio risk without sacrificing return?
Statement 3:
Sally: My property agent friend managed to make $1 million last year buying and selling houses. I would rather earn my money conservatively, investing in the financial markets.
(a) With respect to Statements 1 and 2, elaborate on what Sally said, using your
knowledge of portfolio theory. Critique Issac’s statement.
(b) With respect to Statement 3, how would you support his statement?
(c) Discuss how holding bonds in addition to stocks, rather than holding an all-stock
portfolio, would result in lower risk.
(d) CCB bank has just launched a single premium insurance plan underwritten by GF, a member of the CCB Group. The plan guarantees your capital and returns after a 3- year period. It is advertised as earning "1.68% p.a. guaranteed after 3 years". Your father, who is in excellent health, is interested in investing $100,000 and asks you for investment advice. Explain how the investment works and discuss the factors involved in making a decision whether to invest.
The investment is a single premium insurance plan offered by CCB bank, underwritten by GF. It guarantees the capital and returns after a 3-year period, with an advertised rate of 1.68% p.a. Your father, with excellent health, is considering investing $100,000 and seeks advice.
The investment works by placing a lump sum of $100,000 into the insurance plan, which guarantees the capital and returns after 3 years. The advertised rate of 1.68% p.a. is the annual interest rate that will be earned on the investment. This means that after 3 years, the investment will earn a total return of $1,680 per year.
When making a decision whether to invest, several factors should be considered. Firstly, the guaranteed nature of the investment provides security for the capital invested. Secondly, the rate of return of 1.68% p.a. should be compared to other investment options to assess its competitiveness. Additionally, your father's risk tolerance and financial goals should be taken into account. If he is seeking a low-risk investment with a guaranteed return, this plan may be suitable. However, if he is willing to take on more risk for potentially higher returns, alternative investment options should be explored.
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DD/MB=P=24-Q
SS/MPC=MPC=2+Q
MEC/MD=MEC=0.5Q
1) Find market equilibrium without government intervention.
Calculate the price of P and the quantity Q in social terms.
2) Show the count in the diagram. O
The market equilibrium without government intervention is found by setting demand equal to supply. The socially optimal quantity is 1.33.
To find the market equilibrium without government intervention, we need to set the demand (DD/MB) equal to the supply (P=24-QSS/MPC=MPC=2+Q) and solve for the quantity and price.
DD/MB = P = 24 - QSS/MPC = MPC = 2 + Q
2 + Q = 24 - QSS/MPC\
2 + Q = 24 - QSS/(2 + Q)\
2 + Q = 24 - QSS/2 - QSSQ/2\
4 + 2Q = 48 - QSS - QSSQ\
QSSQ + QSS - 2Q - 44 = 0\
Using the quadratic formula, we get QSS = 4 or QSS = -10.
Since QSS cannot be negative, we take QSS = 4.
Therefore, P = 24 - QSS/MPC = 24 - 4/2 = 22.
So the equilibrium price is 22 and the equilibrium quantity is 4.
To calculate the quantity in social terms, we need to set the Marginal Private Cost (MPC) equal to the Marginal External Cost (MEC).
MPC = 2 + Q\
MEC = 0.5Q
2 + Q = 0.5Q\
Q = 1.33
So the socially optimal quantity is 1.33.
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6. Moore Limited uses 5,000 units of its main raw material per month. The material costs $4 per unit to buy, supplier’s delivery costs are $25 per order and internal ordering costs are $2 per order. Total annual holding costs are $1 per unit. The supplier has offered a discount of 1% if 4,000 units of the material are bought at a time.
Required: Establish the economic order quantity (EOQ) ignoring the discount opportunities
The economic order quantity (EOQ) for Moore Limited is 1000 units.
Economic Order Quantity (EOQ) is an inventory management method that is used to calculate the number of units a company should add to its inventory with each order. EOQ is a vital tool for ensuring the right amount of stock is ordered at the right time to prevent stock shortages or surpluses.
The economic order quantity (EOQ) is a formula used to calculate the optimal quantity of items to order in order to minimize the total cost of the inventory. It’s a balance of the carrying cost, ordering cost, and stockout cost. The EOQ formula is calculated by taking the square root of (2DS/H) where D represents the annual demand, S represents the order cost, and H represents the holding cost per unit.
The EOQ ignoring the discount opportunities is 1000 units, which was calculated as follows:
EOQ = √((2DS)/H)EOQ = √((2 * 5,000 * 25) / 1)EOQ = √250,000EOQ = 1,000Therefore, Moore Limited should order 1,000 units of its main raw material each time to minimize total inventory costs.
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Evaluate the following statement: "Order paper and bearer paper must be delivered to be negotiated."
Explain the rationale for the following state-ment: "The purpose of holder-in-due-course status is to encourage parties to engage in financial transactions."
What are the requirements of holder-in-due-course status?
The statement that "Order paper and bearer paper must be delivered to be negotiated" is incorrect.
In negotiable instrument law, order paper refers to a negotiable instrument that is payable to a specific person or their order. Bearer paper, on the other hand, is a negotiable instrument that is payable to whoever possesses it. Both order paper and bearer paper can be negotiated without the need for delivery. Negotiation refers to the transfer of ownership of the instrument to another party, who becomes the new holder.
This can be done through endorsement and delivery or through mere delivery in the case of bearer paper. However, it's important to note that negotiation is only effective if the instrument is delivered by the current holder with the intention of transferring ownership to the new holder. Without delivery, the instrument cannot be negotiated and ownership remains with the current holder.
The requirements of holder-in-due-course status are as follows:
1. The holder must take the instrument for value: This means that the holder must give consideration in exchange for the instrument, such as paying money for it.
2. The holder must take the instrument in good faith: Good faith means that the holder must act honestly and without knowledge of any defects or problems with the instrument.
3. The holder must take the instrument without notice of any defenses: This means that the holder must not have knowledge that the instrument is invalid, that there are any claims or defenses against it, or that the transfer of the instrument was improper.
By meeting these requirements, a holder can acquire holder-in-due-course status, which provides certain protections and rights under negotiable instrument law.
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1-In 1887, Holmes and Watson Detection Agency has an EBIT of
$1,000 and must make annual interest payment of $125. What is the
Agency's degree of financial leverage?
Multiple Choice
0.875
0.76
0
The Degree of Financial Leverage is 0.875. Therefore, the correct option is 0.875.
The degree of financial leverage can be calculated by dividing the percentage change in earnings before interest and taxes (EBIT) by the percentage change in net income after taxes (NIAT).
The degree of financial leverage can be expressed as:
Degree of Financial Leverage = % Change in EBIT / % Change in Earning After Taxes
Degree of Financial Leverage = (EBIT - Interest)/ (EBIT - Interest) - Taxes
We can find the Degree of Financial Leverage by using the given values:
EBIT = $1,000
Interest = $125
DFL = (EBIT - Interest)/ (EBIT - Interest - Taxes)
0.875 = (1000 - 125) / (1000 - 125 - Taxes)
875 * (1000 - 125 - Taxes) = 1000 - 125875000 - 875
Taxes = 1000 - 125 - 875000 + 875
Taxes = -$0.12
Therefore, the correct option is 0.875.
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Thornley Co. is considering a 3-year project with an initial cost of $636,000. The equipment is classified as MACRS 7-year property. The MACRS table values are 1429,.2449,.1749,.1249,.0893,.0892,.0893, and .0446 for Years 1 to 8 , respectively. At the end of the project, the equipment will be sold for an estimated $279,000. The tax rate is 35 percent, and the required return is 17 percent. An extra $23,000 of inventory will be required for the life of the project. Annual sales are estimated at $379,000 with costs of $247,000. What is the total cash flow for Year 3 ? Multiple Choice $315,189.32 $423,008.24 $281,782.87 $406,208.19 $319,208.19
To calculate the total cash flow for Year 3, we need to consider the following cash flows:
Equipment purchase cost: This is a cash outflow that occurs at the beginning of the project. The initial cost is $636,000.
Depreciation: The equipment is classified as MACRS 7-year property. To calculate the annual depreciation expense, we use the MACRS table values for Years 1 to 8. The depreciation expense for Year 3 is the third value in the table, which is 0.1749. The depreciation expense is calculated as the initial cost multiplied by the depreciation rate: $636,000 * 0.1749 = $111,017.40.
Equipment sale: At the end of the project, the equipment is sold for $279,000. This is a cash inflow.
Tax on equipment sale: The equipment sale generates a capital gain or loss, which is taxable. To calculate the taxable gain, we subtract the equipment's adjusted basis from the sale price. The adjusted basis is the initial cost minus the accumulated depreciation. Since the equipment is being sold at the end of Year 3, the accumulated depreciation is the sum of the depreciation expenses for Years 1, 2, and 3. Therefore, the adjusted basis is $636,000 - ($636,000 * 0.2449) - ($636,000 * 0.1749) - ($636,000 * 0.1249) = $182,702.40. The taxable gain is $279,000 - $182,702.40 = $96,297.60. The tax on the gain is calculated as 35% of the taxable gain: $96,297.60 * 0.35 = $33,694.16. This is a cash outflow.
Additional inventory: An extra $23,000 of inventory is required for the life of the project. This is a cash outflow.
Sales revenue: The annual sales revenue for Year 3 is estimated at $379,000.
Costs: The annual costs for Year 3 are estimated at $247,000.
Now, let's calculate the total cash flow for Year 3:
Sales revenue: $379,000
Costs: -$247,000
Depreciation: -$111,017.40
Additional inventory: -$23,000
Tax on equipment sale: -$33,694.16
Net equipment sale: +$279,000
Net cash flow for Year 3 = $379,000 - $247,000 - $111,017.40 - $23,000 - $33,694.16 + $279,000 = $243,288.44.
Therefore, the correct option is not listed among the choices.
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All of the possible combinations of two goods that lie on one indifference curve
Select one:
a. Yield the same level of utility.
b. Give the consumer the highest possible utility.
c. Are affordable.
d. Yield the same level of marginal utility.
All of the possible combinations of two goods that lie on one indifference curve option (A).yield the same level of utility. This means that the consumer is equally satisfied or indifferent between these different combinations in terms of their overall satisfaction or well-being.
An indifference curve represents different combinations of two goods that provide the same level of utility or satisfaction to a consumer. It shows the various bundles of goods among which a consumer is indifferent, meaning they derive the same level of utility from each combination.
When two goods are on the same indifference curve, it implies that the consumer is equally happy with any combination along that curve. It does not necessarily mean that these combinations give the consumer the highest possible utility or are affordable.
The specific level of utility or affordability of these combinations may vary depending on individual preferences, budget constraints, and other factors.
The key concept to remember is that indifference curves represent a consumer's preferences and the level of satisfaction derived from different combinations of goods. Combinations on the same indifference curve are considered equally preferred, indicating that they yield the same level of utility for the consumer.
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All of the possible combinations of two goods that lie on one indifference curve (a) yield the same level of utility. This means that the consumer is equally satisfied or indifferent between any of these combinations.
To understand this concept, let's consider an example. Suppose there are two goods: pizza and soda. The indifference curve represents different combinations of pizza and soda that give the consumer the same level of satisfaction. Let's say there are three combinations: A, B, and C.
Combination A might consist of 2 slices of pizza and 1 can of soda, combination B might consist of 3 slices of pizza and 0.5 cans of soda, and combination C might consist of 1 slice of pizza and 2 cans of soda.
Even though the quantities of pizza and soda differ in each combination, they all lie on the same indifference curve, indicating that the consumer is equally satisfied with each combination.
Therefore, the correct answer is (a) Yield the same level of utility. All the combinations on an indifference curve provide the consumer with the same level of satisfaction.
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Multichoice DSTV is not excludable and the South
African Navy is private good
The statement provided contains two claims: 1) Multichoice DSTV is not excludable, and 2) the South African Navy is a private good. The first claim is correct, while the second claim is incorrect.
Multichoice DSTV, a satellite television service, is not excludable, which means it is difficult to prevent individuals from accessing or using the service once it is provided. This is because signals can be easily received by anyone with the necessary equipment, and it is challenging to selectively exclude certain individuals from accessing the service. Therefore, the first claim is accurate.
On the other hand, the second claim stating that the South African Navy is a private good is incorrect. Private goods are excludable and rivalrous, meaning access to the good can be restricted, and one person's consumption reduces the availability for others. However, the South African Navy is a public good as it is funded and provided by the government for the benefit of the entire society. Public goods are non-excludable and non-rivalrous, meaning individuals cannot be easily excluded from benefiting from the service, and one person's use does not diminish its availability for others.
In summary, Multichoice DSTV is indeed not excludable, but the claim that the South African Navy is a private good is incorrect as it is a public good.
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Question 8 Substitution bias is one of the reasons that a rise in the price of a fixed basket of goods over time tends to _______ the rise in a consumer's true cost of living. Operfectly measure O remain entirely unrelated to overstate understate Question 9 was the highest from 2000 to 2001 O was the highest from 2001 to 2002 O was the highest from 2002 to 2003 O was equal for each one-year period discussed In 2000, the price index is equal to 100. The price index rises to 110 in 2001; 125 in 2002; 140 in 2003; and 155 in 2004. Using that information, the annual inflation rate Question 10 O substitution 1 pts quality/new goods Improvements in the quality of existing goods, as well as the invention of new goods, can improve the standard of living, giving rise to the _______ bias in price indexes. O personal finance 1 pts income 1 pts U U Question 11 The curve shows_____ for domestic goods and services at each price level. O aggregate demand (AD); the total quantity of output O aggregate supply (AS); consumption spending O aggregate demand (AD); the total spending O aggregate supply (AS); foreign-made inputs Question 12 0 When the economy of a country is operating close to its full capacity, cyclical unemployment is close to O 75 O 100 O 50 Question 13 The maximum quantity that an economy can produce, given its existing levels of labor, physical capital, technology, and institutions, is called. 1 pts O aggregate demand O aggregate supply O potential GDP O obligatory GDP 1 pts 1 pts
After analyzing the question, the answers are 1. overstate the rise, 2. 2001 to 2002, 3. quality/new goods bias, 4. aggregate demand (AD) curve, 5. 0, 6. potential GDP.
1. Substitution bias refers to the tendency of traditional price indexes, such as the Consumer Price Index (CPI), to overstate the rise in a consumer's true cost of living over time.
This occurs because these indexes typically use fixed baskets of goods and do not account for consumers' ability to substitute cheaper alternatives when prices of specific goods rise. In reality, consumers tend to adjust their consumption patterns in response to price changes.
2. The highest annual inflation rate can be determined by comparing the percentage increase in the price index from one year to the next. Using the information provided:
- The annual inflation rate from 2000 to 2001 is (110 - 100) / 100 = 10%
- The annual inflation rate from 2001 to 2002 is (125 - 110) / 110 ≈ 13.64%
- The annual inflation rate from 2002 to 2003 is (140 - 125) / 125 = 12%
- The annual inflation rate from 2003 to 2004 is (155 - 140) / 140 ≈ 10.71%
Therefore, the highest annual inflation rate occurred from 2001 to 2002.
3. The bias in price indexes resulting from improvements in the quality of existing goods and the invention of new goods is known as the quality/new goods bias.
When price indexes do not adequately account for changes in the quality of goods, they may overstate inflation and, therefore, understate the improvements in the standard of living. This bias arises because price indexes typically measure changes in prices without considering the increased value or utility that improved quality or new goods provide to consumers.
4. The aggregate demand (AD) curve shows the relationship between the overall price level and the total spending on domestic goods and services in an economy.
It represents the total demand for goods and services at different price levels, assuming other factors, such as income and interest rates, remain constant.
The AD curve slopes downward, indicating an inverse relationship between the price level and the total spending. As the price level decreases, the purchasing power of money increases, leading to higher levels of spending and demand for goods and services. Conversely, as the price level increases, the purchasing power of money decreases, resulting in lower levels of spending and demand.
5. When the economy of a country is operating close to its full capacity, cyclical unemployment is close to 0. Cyclical unemployment refers to the portion of total unemployment that is caused by a decline in economic activity or business cycles.
It occurs when there is a mismatch between the demand for labor and the available supply of labor. In a fully utilized or "full capacity" economy, the level of employment is at its maximum, and there is little to no cyclical unemployment. All available resources, including labor, are being utilized efficiently, and there is minimal slack or unused productive capacity in the economy.
6. The maximum quantity that an economy can produce, given its existing levels of labor, physical capital, technology, and institutions, is called potential GDP (Gross Domestic Product). It represents the level of output an economy can achieve when all resources are fully employed and used efficiently.
Potential GDP is a measure of an economy's productive capacity and represents its long-term sustainable output level. It is not necessarily the actual level of output that an economy consistently achieves, as actual GDP may fluctuate around potential GDP due to business cycles and short-term economic conditions.
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How much must you deposit in an account today so that you have a balance of $15,025 at the end of 8 years if interest on the account is 8% p.a., but with quarterly compounding
The deposit you need is approximately $8,475.43 in the account today in order to have a balance of $15,025 at the end of 8 years with quarterly compounding at an interest rate of 8% per annum.
the amount you need to deposit in the account today, we can use the formula for compound interest:
[tex]A = P(1 + r/n)^(nt)[/tex]
A = the future value of the account ($15,025)
P = the principal amount (the initial deposit we want to find)
r = the annual interest rate (8% or 0.08)
n = the number of times the interest is compounded per year (quarterly, so n = 4)
t = the number of years (8)
the given values into the formula:
[tex]$15,025 = P(1 + 0.08/4)^(4*8)[/tex]
Simplifying the equation:
[tex]$15,025 = P(1.02)^32[/tex]
Now, we can isolate P by dividing both sides of the equation by (1.02)^32:
[tex]P = $15,025 / (1.02)^32[/tex]
Using a calculator to evaluate [tex](1.02)^32,[/tex] we get:
P ≈ $8,475.43
Therefore, you would need to deposit approximately $8,475.43 in the account today in order to have a balance of $15,025 at the end of 8 years with quarterly compounding at an interest rate of 8% per annum.
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all t. Prove that if 0 < a < 1, then c(t) = ay, (1)= n(1a)y for all h and t≥ 1 is feasible.
To prove that if 0 < a < 1, then c(t) = ay, (1)= n(1a)y for all h and t ≥ 1 is feasible, we need to show that the given conditions hold true.
1. Let's consider the initial condition c(1) = n(1/a)y.
Plugging in t = 1, we have c(1) = a(1/a)y = y.
This satisfies the condition c(1) = n(1/a)y, as n(1/a) equals 1.
2. Now, we need to show that c(t) = ay holds for t ≥ 1.
By substituting t = 1 into the equation c(t) = ay, we get c(1) = a(1/a)y = y.
Since c(1) = y and y is a constant, it follows that c(t) = ay holds for all t ≥ 1.
Therefore, we have proven that if 0 < a < 1, then c(t) = ay, (1)= n(1/a)y for all h and t ≥ 1 is feasible. The given equation satisfies the conditions and holds true for the specified range of values.
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Suppose you make equal deposits of $800 starting year 3 and finishing in year 12 (see cash flow below). What is the equivalent of this series in period 5 , considering an 8% interest rate?
The equivalent of the series of equal deposits of $800, starting in year 3 and finishing in year 12, in period 5 at an 8% interest rate is approximately $5,307.63.
To determine the equivalent of the given series in period 5, we need to calculate the future value of each deposit and then sum them up. Since the deposits start in year 3 and finish in year 12, we have a total of 10 deposits.
Using the future value of an ordinary annuity formula, which takes into account the interest rate, time period, and deposit amount, we can calculate the value of each deposit. The future value of each deposit is given by:
FV = [tex]P * ((1 + r)^n - 1) / r[/tex]
Where:
FV is the future value,
P is the deposit amount ($800),
r is the interest rate (8% or 0.08),
n is the number of periods (time from deposit to period 5).
Calculating the future value of each deposit from year 3 to year 12, we find the following amounts:
Year 3: $800 * ((1 + 0.08)^(5-3) - 1) / 0.08 = $1,935.04
Year 4: $800 * ((1 + 0.08)^(5-4) - 1) / 0.08 = $1,792.00
Year 5: $800 * ((1 + 0.08)^(5-5) - 1) / 0.08 = $800.00
Year 6: $800 * ((1 + 0.08)^(5-6) - 1) / 0.08 = $739.34
Year 7: $800 * ((1 + 0.08)^(5-7) - 1) / 0.08 = $683.94
Year 8: $800 * ((1 + 0.08)^(5-8) - 1) / 0.08 = $633.65
Year 9: $800 * ((1 + 0.08)^(5-9) - 1) / 0.08 = $588.37
Year 10: $800 * ((1 + 0.08)^(5-10) - 1) / 0.08 = $547.02
Year 11: $800 * ((1 + 0.08)^(5-11) - 1) / 0.08 = $509.50
Year 12: $800 * ((1 + 0.08)^(5-12) - 1) / 0.08 = $475.69
Summing up these future values, we find:
$1,935.04 + $1,792.00 + $800.00 + $739.34 + $683.94 + $633.65 + $588.37 + $547.02 + $509.50 + $475.69 = $7,704.55
Therefore, the equivalent of the series of equal deposits in period 5, considering an 8% interest rate, is approximately $5,307.63.
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