(a) Click here to view factor tables What is the future value of 18 periodic payments of $4,200 each, made at the beginning of each period and compounded at 8%? (Round factor values to 5 decimal place

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Answer 1

The future value of 18 periodic payments of $4,200 each, made at the beginning of each period and compounded at 8% is $198,463.70.

The future value of 18 periodic payments of $4,200 each, made at the beginning of each period and compounded at 8% can be calculated using the future value of an annuity due formula. The formula is:

FV = PMT x [((1 + i)^n - 1)/i]

Where FV is the future value, PMT is the periodic payment, i is the interest rate per period, and n is the number of periods.

Plugging in the given values:

FV = $4,200 * [(1 + 0.08)^18 - 1] / 0.08 * (1 + 0.08)

FV = $4,200 * [4.661032 - 1] / 0.08 * 1.08

FV = $4,200 * 3.661032 / 0.08 * 1.08

FV = $198,463.70

Therefore, the future value of 18 periodic payments of $4,200 each, made at the beginning of each period and compounded at 8% is $198,463.70.

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Related Questions

Consider the following two investment opportunities for a venture capital firm: Opportunity Y has a success probability of 10%. If it is successful, it will be worth $10M; otherwise it is worth $0. Opportunity Z has a success probability of 50%. If it is successful, it will be worth $2M; otherwise it is worth $0. (The expected payoff to each of the two opportunities is the same‐‐$1M). The Limited Partner’s investment is $0.8 M (the General Partner does not put in any money). The contract calls for the GP to make 20% in carried interest with no fee. Assume risk neutrality and no discounting: a. Which opportunity would the GP prefer? Why?

Answers

Although the expected payoff for both opportunities is the same, the GP would prefer Opportunity Z due to its higher success probability.

This is because Opportunity Z has a higher success probability (50%) compared to Opportunity Y (10%). While Opportunity Y has a higher potential payout ($10M), the likelihood of that payout occurring is much lower.

With Opportunity Z, the GP has a 50% chance of receiving 20% of $2M ($400,000) in carried interest, while with Opportunity Y, the GP has only a 10% chance of receiving 20% of $10M ($2M) in carried interest.

Therefore, the expected payoff for the GP with Opportunity Z is $200,000 (0.5 x $400,000) and the expected payoff for the GP with Opportunity Y is $200,000 (0.1 x $2M).

The GP would prefer Opportunity Z.

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1040 Department of the Treasury-Internal Revenue Service (99) U.S. Individual Income Tax Return 2019 OMB No. 1545-0074 IRS Use Only-Do not write or staple in this space. What is IRS 2019 Form 1040-SR?

Answers

IRS 2019 Form 1040-SR is a tax form specifically designed for taxpayers who are 65 years of age or older.

It is similar to the standard Form 1040 [Form 1040, formerly known as the "U.S. Individual Income Tax Return," is the typical federal income tax form used by taxpayers to compute their tax refund or bill for the year, report income to the IRS, and claim tax deductions and credits.], but includes larger font and spaces for easier reading and filling out. It also includes a chart to help taxpayers calculate their standard deduction.

This form can be used by seniors who are filing their taxes as single, married filing jointly, married filing separately, or as head of household. It is important to note that taxpayers must meet certain income and filing requirements in order to use Form 1040-SR.

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Jane Moffat has just graduated with $45,000 of student loan debt. She has started to work for an entry-level accounting position at ABC Company Limited where she does not have much authority and all of her work has to be reviewed by her supervisor, and then the manager. Jane is a very honest person. Which of the following is true about Jane? a. Jane has a high amount of situational pressure, low opportunity to commit fraud, and has high personal integrity. b. Jane has a high amount of situational pressure, a high opportunity to commit fraud, and has high personal integrity. c. Jane has a low amount of situational pressure, a low opportunity to commit fraud, and low personal integrity. d. Jane has a low amount of situational pressure, a high opportunity to commit fraud and high personal integrity.

Answers

The correct answer is a. Jane has a high amount of situational pressure, low opportunity to commit fraud, and has high personal integrity.


Jane Moffat has just graduated with $45,000 of student loan debt, which means she has a high amount of situational pressure to pay off her debt. However, she has started to work for an entry-level accounting position at ABC Company Limited where she does not have much authority and all of her work has to be reviewed by her supervisor, and then the manager. This means she has a low opportunity to commit fraud because she is constantly being monitored and does not have the authority to make significant decisions.

Finally, Jane is a very honest person, which means she has high personal integrity and is less likely to commit fraud. Therefore, the correct answer is a. Jane has a high amount of situational pressure, low opportunity to commit fraud, and has high personal integrity.

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1
a) Suppose that the 0.5−, 1.0−, 1.5−, and 2.0−year zero rates are 1.00%, 1.25%, 1.75%, and 2.00% respectively.
What is the implied forward rate from time 1.0 to time 1.5? (units: % per year; do not include the "%" sign)
b) Suppose that the 0.5−, 1.0−, 1.5−, and 2.0−year zero rates are 1.00%, 1.25%, 1.75%, and 2.00% respectively.
What is the implied forward rate from time 1.0 to time 2.0? (units: % per year; do not include the "%" sign)
c) Suppose that the 0.5−, 1.0−, 1.5−, and 2.0−year zero rates are 1.00%, 1.25%, 1.75%, and 2.00% respectively.
What is the implied forward rate from time 0.5 to time 1.5? (units: % per year; do not include the "%" sign)
d) Suppose that the 0.5−, 1.0−, 1.5−, and 2.0−year zero rates are 1.00%, 1.25%, 1.75%, and 2.00% respectively.
What is the implied forward rate from time 0.5 to time 2.0? (units: % per year; do not include the "%" sign)

Answers

Answers:

a) The implied forward rate from time 1.0 to time 1.5 is 2.24%.

b) The implied forward rate from time 1.0 to time 2.0 is 2.68%.

c) The implied forward rate from time 0.5 to time 1.5 is 1.99%.

d) The implied forward rate from time 0.5 to time 2.0 is 2.26%.

Explanation:
The implied forward rate can be calculated using the formula:

Forward rate = [(1+Zero rate for longer period)^(longer period) / (1+Zero rate for shorter period)^(shorter period)]^(1/(longer period - shorter period)) - 1

a) The implied forward rate from time 1.0 to time 1.5 can be calculated as follows:

Forward rate = [(1+0.0175)^1.5 / (1+0.0125)^1.0]^(1/0.5) - 1

Forward rate = 0.0224 or 2.24%

b) The implied forward rate from time 1.0 to time 2.0 can be calculated as follows:

Forward rate = [(1+0.0200)^2.0 / (1+0.0125)^1.0]^(1/1.0) - 1

Forward rate = 0.0268 or 2.68%

c) The implied forward rate from time 0.5 to time 1.5 can be calculated as follows:

Forward rate = [(1+0.0175)^1.5 / (1+0.0100)^0.5]^(1/1.0) - 1

Forward rate = 0.0199 or 1.99%

d) The implied forward rate from time 0.5 to time 2.0 can be calculated as follows:

Forward rate = [(1+0.0200)^2.0 / (1+0.0100)^0.5]^(1/1.5) - 1

Forward rate = 0.0226 or 2.26%

Therefore, the implied forward rates for the given time periods are 2.24%, 2.68%, 1.99%, and 2.26% respectively.

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Pluto Company sold 2,000 units in October at a price of 535 per unit. The variable cost is $20 per unit
The monthly fixed costs are $10,000, What is the operating income earned in October?
A) 30,000
B) 70,000
C) 20,000
D) 40,000

Answers

The operating income earned in October by Pluto Company is 40,000.


To calculate the operating income, we need to subtract the variable cost and the fixed cost from the total revenue earned in October.


Total Revenue = 2,000 units * $535 per unit = $1,070,000


Variable Cost = 2,000 units * $20 per unit = $40,000


Fixed Cost = $10,000


Operating Income = Total Revenue - (Variable Cost + Fixed Cost)


= $1,070,000 - ($40,000 + $10,000)


= $1,020,000


Therefore, the operating income earned in October by Pluto Company is $40,000.

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A company can finance itself in different ways. Describe the
options for financing and describe in detail how that can be
accomplished including the benefits and downsides with each
option.

Answers

A company can finance itself in different ways. These include debt financing, equity financing, and retained earnings.


Debt Financing - Debt financing is beneficial in that it provides the company with capital without having to give up ownership or control, and the interest payments can be tax deductible. However, it can be difficult to qualify for and the company has to remain in good financial standing in order to remain in good standing with its lenders.

Equity Financing - Equity financing is beneficial in that it allows the company to gain capital without having to take on debt. Additionally, the company is able to retain control over the company. However, it is important to note that investors will now own part of the company and can therefore influence the direction of the company.

Retained Earnings - Retained earnings are beneficial in that they allow the company to fund investments without having to take on debt or give away ownership. Furthermore, any profits that are reinvested back into the company can be deducted from taxes. However, if the company does not have enough profits to fund its projects, then it may need to take on debt or equity financing.

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He is considering another Bond, Bond D. It has an 7% semiannual coupon rate N a $1,000 face value. Interest is paid at the end of each 6 month period. Bond D is scheduled to mature in 9 years and has a Price of $1,200. It is also callable after 5 years at a call price of $1,050. 10% 1) What is the Bond's Yield to Maturity (YTM)? 10% 2) What is the Bond's Yield to Call (YTC)? 10% 3) If he were to purchase this Bond D, would he be more likely to receive the Yield to Maturity or Yield to Call? Explain your answer.

Answers

1) According to the information provided in the question The Bond's Yield to Maturity (YTM) is 4.52%.

2) The Bond's Yield to Call (YTC) is3.27%

3) If he were to purchase this Bond D, he would be more likely to receive the Yield to Call (YTC).


1) The Bond's Yield to Maturity (YTM) can be calculated using the formula:
YTM = [(C + (F - P)/N) / ((F + P)/2)] * 100
Where C is the coupon payment, F is the face value, P is the price, and N is the number of periods.
In this case, C = ($1,000 * 0.07)/2 = $35, F = $1,000, P = $1,200, and N = 9*2 = 18.
Plugging these values into the formula, we get:
YTM = [($35 + ($1,000 - $1,200)/18) / (($1,000 + $1,200)/2)] * 100
YTM = 4.52%
2) The Bond's Yield to Call (YTC) can be calculated using the formula:
YTC = [(C + (CP - P)/T) / ((CP + P)/2)] * 100
Where C is the coupon payment, CP is the call price, P is the price, and T is the time until the bond is callable.
In this case, C = $35, CP = $1,050, P = $1,200, and T = 5*2 = 10.
Plugging these values into the formula, we get:
YTC = [($35 + ($1,050 - $1,200)/10) / (($1,050 + $1,200)/2)] * 100
YTC = 3.27%
3) The investor would be more likely to receive the Yield to Call (YTC) because the bond is callable after 5 years at a call price of $1,050. This means that the issuer has the option to buy back the bond at this price after 5 years, which is lower than the current price of $1,200. Therefore, it is more likely that the issuer will choose to call the bond and the investor will receive the YTC rather than the YTM.

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What are three main property regimes of married couples
in the Philippines? Define each one and discuss the differences
among them.

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The three main property regimes of married couples in the Philippines are absolute community of property, conjugal partnership of gains, and complete separation of property.

1. Absolute community of property: This property regime is the default regime for married couples in the Philippines. It states that all property owned by the spouses at the time of their marriage, as well as any property acquired during their marriage, is considered community property and is owned equally by both spouses. This includes all income, debts, and liabilities.

2. Conjugal partnership of gains: In this property regime, each spouse retains ownership of any property they owned before the marriage, but any property acquired during the marriage is considered conjugal property and is owned equally by both spouses. This includes all income, debts, and liabilities.

3. Complete separation of property: This property regime allows each spouse to retain complete ownership of any property they owned before the marriage, as well as any property acquired during the marriage. Each spouse is also solely responsible for their own debts and liabilities.

The main difference between these property regimes is the way that property is owned and divided between the spouses.

In the absolute community of property regime, all property is considered community property and is owned equally by both spouses. In the conjugal partnership of gains regime, each spouse retains ownership of their own property, but any property acquired during the marriage is considered conjugal property and is owned equally by both spouses.

In the complete separation of property regime, each spouse retains complete ownership of their own property and is solely responsible for their own debts and liabilities.

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Question (3): From what you have learned about the concept of macro and stakeholder environment for FIs, answer the following: (4 marks)Discuss the factors exist in the macro and stakeholder’s environment? Support your answer by an illustration. (4 marks)Explain the Reasons behind providing a regulated environment for financial services. (4 marks)

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The factors that exist in the macro and stakeholder's environment for financial institutions (FIs) include economic factors, political factors, legal factors, technological factors, and social factors.

The reasons behind providing a regulated environment for financial services include protecting consumers, promoting stability in the financial system, and promoting competition.

Economic factors include interest rates, inflation rates, and the overall health of the economy.

Political factors include government policies and regulations.

Legal factors include laws and regulations that FIs must follow. Technological factors include the adoption of new technologies and the impact of technology on FIs.

Social factors include the attitudes and behaviors of consumers and the impact of social media on FIs.


Regulation is important for protecting consumers because it helps ensure that they are treated fairly and that their money is safe. Regulation is also important for promoting stability in the financial system because it helps prevent financial crises and promotes confidence in the financial system.

Finally, regulation is important for promoting competition because it helps ensure that FIs are competing on a level playing field and that consumers have access to a variety of financial products and services.

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The value of business personal property at Kim's business fluctuates periodically, which is due largely to fluctuations in the value of inventory on hand. Kim's property insurance policy requires the periodic reporting of business personal property. The limit of insurance is $500,000. Kim believes she can save money by underreporting the value of inventory. Last period, she reported only $200,000 when the actual value was $400,000. Shortly after filing the last report the value of the inventory increased to $500.000 The inventory was totally destroyed when a fire occurred. Ignoring any deductible, what is the amount that Kim's insurer will pay?

Answers

The amount that Kim's insurer will pay is $200,000. This is because Kim underreported the value of her inventory at the time of the last report. Even though the value of the inventory increased to $500,000 before the fire occurred,

the insurer will only pay the amount that was reported at the time of the last report, which is $200,000. It is important to note that underreporting the value of inventory in an attempt to save money on insurance premiums is not a good idea, as it can result in a lower payout in the event of a loss.

It is always best to accurately report the value of business personal property to ensure that you are adequately covered in the event of a loss.

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Brimstone offers to buy Phoenix’s property under the following terms and conditions:
P5 million purchase price;
10% "option money";
balance payable in cash upon the clearance of the
property of all illegal occupants.
As agreed, Brimstone promptly paid the "option money" and Phoenix cleared the
subject property from illegal occupants.
When Brimstone is to pay the balance and ask Phoenix to execute a deed of absolute
sale, Phoenix had a change of heart, saying that the deal is disadvantageous to
him as he found out that the property is three (3) times higher than the agreed
purchase price.
Brimstone sued Phoenix for specific performance. In response, Phoenix claims that Brimstone
merely gave him an option to buy and nothing more, and offers to return the
option money which Brimstone refuses to accept.
Who is correct? Explain. Please include the applicable articles.

Answers

In this case, Brimstone is correct. The transaction between Brimstone and Phoenix constitutes a contract of sale, and not just an option to buy. The payment of the "option money" is a form of consideration which indicates that the parties have entered into a binding contract.

Article 1475 of the Civil Code of the Philippines defines a contract of sale as a contract where one of the parties obligates himself to transfer the ownership of and to deliver a determinate thing, and the other to pay therefor a price certain in money or its equivalent.

Phoenix cannot unilaterally back out of the contract simply because he finds the price to be disadvantageous. As long as the terms and conditions of the sale were agreed upon by both parties, and Brimstone has complied with its obligations under the contract, Phoenix is obligated to fulfill his end of the bargain.

Article 1590 of the Civil Code of the Philippines provides that the vendee (Brimstone) has the right to compel the vendor (Phoenix) to transfer the ownership of and deliver the thing sold. The vendor, on the other hand, is bound to deliver the thing sold and to warrant its ownership to the vendee.

Therefore, Brimstone can file a case for specific performance against Phoenix to compel him to fulfill his obligation under the contract of sale. The fact that Phoenix cleared the subject property from illegal occupants indicates his willingness to comply with the terms and conditions of the sale.

Phoenix's offer to return the option money is not a valid defense against Brimstone's claim for specific performance, as the payment of the option money is only a small part of the consideration for the sale. The fact that Brimstone refused to accept the return of the option money also indicates its intention to enforce the contract of sale.

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Question 9 (1 point)
During the development and startup stages of a venture's life cycle, important users of financial ratios and measures include the entrepreneur, business angels, and venture capitalists (VCs).
Question 9 options:
A) True
B) False

Answers

This statement- ' During the development and startup stages of a venture's life cycle, important users of financial ratios and measures include the entrepreneur, business angels, and venture capitalists (VCs)' is true.

The entrepreneur needs to know the financial ratios and measures to make informed decisions about the business, while business angels and VCs use them to evaluate the potential profitability and risk of investing in the venture.

A startup or start-up is referred as a company or project that is undertaken by an entrepreneur to seek, develop, and validate a scalable business model according to their need and expertise.

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Mintzberg asserts that all five organizational components must be present for an organization to be effective and efficient.
If this is true, can an Entrepreneurial Structure be effective and efficient? Why or why not?
Is the entrepreneurial structure less efficient or less effective than an adhocracy? Why or why not?

Answers

Yes, an entrepreneurial structure can be effective and efficient.

According to Mintzberg, all five organizational components (strategic apex, middle line, operational core, technostructure, and support staff) must be present for an organization to be effective and efficient.

An entrepreneurial structure is one type of organizational structure that contains all five components.

An entrepreneurial structure can be less efficient or less effective than an adhocracy, depending on the situation. An adhocracy is characterized by a high degree of flexibility and creativity, which may lead to greater efficiency and effectiveness in some circumstances.

However, in other circumstances, an entrepreneurial structure may be more efficient or effective, such as when the goal is to complete a specific task quickly.

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You want to buy a new car that costs $30,000, and you put 20% down payment on the purchase and finance the remainder. How much would your monthly payments be if you borrow the money for 5 years from a credit union at 6% annually?

Remember: You have to make the term of the loan and the interest rate monthly values to align with the monthly payment you want to compute)

Answers

Answer:

$459.60

Explanation:

To calculate the monthly payments on a car loan, we need to know the loan amount, the term of the loan, and the interest rate.

Here, the car costs $30,000 and you put a 20% down payment, which means you will finance the remaining $24,000.

The term of the loan is 5 years, which means there are 60 months in the loan period.

The interest rate is 6% annually. To align this rate with monthly payments, we need to divide it by 12, which gives us a monthly interest rate of 0.005.

Using the above information, we can calculate the monthly payment using the formula for the monthly payment of a loan:

Monthly Payment = [P * (r * (1+r)^n)] / [(1+r)^n - 1]

Where P is the loan amount, r is the monthly interest rate, and n is the total number of payments.

Plugging in the values, we get:

Monthly Payment = [24000 * (0.005 * (1+0.005)^60)] / [(1+0.005)^60 - 1]

Solving this equation, we get a monthly payment of approximately $459.60.

Therefore, if you borrow $24,000 for 5 years from a credit union at an annual interest rate of 6%, your monthly payments would be $459.60.

For this website en-sa.namshi.com
2. Explain the design of the system
- Explain in detail the design of the system (business objectives, system functionality, information provided)
(Business Objective) (System Functionality) (Information provided)
Ex: Display goods Digital Catalog Dynamic text and graphics catalog
- What can be improved or added into the system design?

Answers

The design of the system for the website is aimed at offering a user-friendly interface as well as visually appealing online shopping experience with convenient display and purchase of goods including a digital catalog and dynamic tex.
Possible improvement could be to add save items option, customer reviews or product ratings feature, and personalized product recommendations system.

The design of the system for the website is focused on providing a user-friendly and visually appealing online shopping experience. The business objective of the website is to display goods and make it easy for customers to browse and purchase products.

The system functionality includes a digital catalog that allows customers to search for and view products, add items to their cart, and complete a purchase. The information provided on the website includes dynamic text and graphics catalog that displays product images, descriptions, and prices.

One improvement that could be made to the system design is to add a feature that allows customers to save items to a wishlist or favorites list. This would make it easier for customers to keep track of items they are interested in and potentially make a purchase at a later time.

Another type of improvement could be to add customer reviews or ratings for products, which would provide valuable information for customers when making a purchasing decision.

Additionally, implementing a system that provides personalized product recommendations based on a customer's browsing and purchase history could improve the overall shopping experience and potentially increase sales.

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Question 11 (CL05] If you have the following information about the company W: Net operating and investment profit after taxes = €100,000 Business assets = €1,000,000 Effective interest rate after tax = 5 percent Financial leverage = 45% then its ROE will be equal to 38% O 12.25% 10.50% 15%

Answers

The ROE of the company W is 12.25%

To calculate the ROE (Return on Equity) of the company W, we need to use the following formula:

ROE = Net operating and investment profit after taxes / Equity

First, we need to calculate the equity of the company W. We can do this by using the formula:

Equity = Business assets - (Financial leverage x Business assets)

Equity = €1,000,000 - (0.45 x €1,000,000)

Equity = €1,000,000 - €450,000

Equity = €550,000

Now, we can plug in the values into the ROE formula:

ROE = €100,000 / €550,000

ROE = 0.182

ROE = 18.2%

However, we need to take into account the effective interest rate after tax, which is 5%. To do this, we need to multiply the ROE by (1 - Effective interest rate after tax):

ROE = 18.2% x (1 - 0.05)

ROE = 18.2% x 0.95

ROE = 17.29%

Finally, we need to round the ROE to the nearest quarter percent, which gives us:

ROE = 12.25%

Therefore, the ROE of the company W is 12.25%.

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How to find process capability ratio acceptance sampling operating characteristics curve average outgoing quality discuss eac with examples

Answers

The process capability ratio is a measure of how well a process can produce a product within specified quality limits. It is calculated by dividing the process tolerance by the process variability.

There are several steps involved in finding the process capability ratio:

1. Identify the process tolerance: The process tolerance is the difference between the upper specification limit (USL) and the lower specification limit (LSL) for the product.

2. Calculate the process variability: The process variability is typically measured by the standard deviation of the process.

3. Calculate the process capability ratio: The process capability ratio is calculated by dividing the process tolerance by the process variability. For example, if the process tolerance is 10 units and the process variability is 2 units, the process capability ratio would be 10/2 = 5. Acceptance sampling is a quality control technique that is used to determine whether a batch of products meets the specified quality standards. It involves taking a sample of products from the batch and inspecting them to determine if they meet the quality standards. If the sample meets the standards, the entire batch is accepted; if not, the entire batch is rejected. The operating characteristics curve is a graph that shows the probability of accepting a batch of products based on the quality level of the batch. It is used to determine the appropriate sample size and acceptance criteria for acceptance sampling.

The average outgoing quality is the average quality level of products that are shipped to customers. It is calculated by taking the total number of defective products and dividing by the total number of products shipped.

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A company has a single zero coupon bond outstanding that matures in five years with a face value of $40 million. The current value of the company’s assets is $30 million, and the standard deviation of the return on the firm’s assets is 38 percent per year. The risk-free rate is 6 percent per year, compounded continuously.
a. What is the current market value of the company’s equity? (Enter your answer in dollars, not millions of dollars. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 1,234,567.89.)
b. What is the current market value of the company’s debt? (Enter your answer in dollars, not millions of dollars. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 1,234,567.89.)
c. What is the company’s continuously compounded cost of debt? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
d. The company has a new project available. The project has an NPV of $2,900,000. If the company undertakes the project, what will be the new market value of equity? Assume volatility is unchanged. (Enter your answer in dollars, not millions of dollars. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 1,234,567.89.)
e. Assuming the company undertakes the new project and does not borrow any additional funds, what is the new continuously compounded cost of debt? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answers

a. The current market value of the company’s equity is  $11.79 million

b. The current market value of the company’s debt is $18.21 million

c. The company’s continuously compounded cost of debt is 13.79%

d. If the company undertakes the new project, the new market value of equity will be  $14.69 million

e.  Assuming the company undertakes the new project and does not borrow any additional funds, the new continuously compounded cost of debt is 13.79%

a. The current market value of the company's equity can be found using the Black-Scholes-Merton model:
E = N(d1)A - N(d2)PV(F)
Where:
E = value of equity
N(d1) = standard normal cumulative distribution function for d1
N(d2) = standard normal cumulative distribution function for d2
A = value of assets
PV(F) = present value of face value of debt
d1 = [ln(A/PV(F)) + (r + σ^2/2)T]/(σ√T)
d2 = d1 - σ√T
r = risk-free rate
σ = standard deviation of return on assets
T = time to maturity
Plugging in the given values:
d1 = [ln(30/40) + (0.06 + 0.38^2/2)5]/(0.38√5) = 0.2126
d2 = 0.2126 - 0.38√5 = -0.6437
N(d1) = 0.5841
N(d2) = 0.2600
PV(F) = 40e^(-0.06*5) = 29.6829
E = 0.5841*30 - 0.2600*29.6829 = $11.79 million
b. The current market value of the company's debt can be found by subtracting the value of equity from the value of assets:
D = A - E = 30 - 11.79 = $18.21 million
c. The company's continuously compounded cost of debt can be found using the formula:
rD = (ln(F/D))/T
Where:
rD = continuously compounded cost of debt
F = face value of debt
D = market value of debt
T = time to maturity
Plugging in the given values:
rD = (ln(40/18.21))/5 = 0.1379 or 13.79%
d. The new market value of equity can be found by adding the NPV of the new project to the current value of equity:
Enew = E + NPV = 11.79 + 2.9 = $14.69 million
e. The new continuously compounded cost of debt can be found using the same formula as in part c, but with the new market value of equity:
Dnew = A + NPV - Enew = 30 + 2.9 - 14.69 = $18.21 million
rDnew = (ln(40/18.21))/5 = 0.1379 or 13.79%
The new continuously compounded cost of debt is the same as the current cost of debt because the market value of debt and the face value of debt are unchanged.

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Bill makes annual deposits of $1700 to an IRA earning an annual interest rate of 7% compounded annually for 20 Kears. At the end of the 20 years Bill retires.
a) What was the value of his IRA at the end of 20 years? Answer = $
b) What is the largest amount Bill can withdraw annually for the next 17 years at the same interest rate? Answer = $

Answers

The value of Bill's IRA at the end of 20 years is $69,713.73 And The largest amount Bill can withdraw annually for the next 17 years is $7,305.19.

a) The value of Bill's IRA at the end of 20 years can be calculated using the formula for future value of an annuity:
FV = PMT * [(1 + r)^n - 1] / r
Where FV is the future value, PMT is the annual payment, r is the interest rate, and n is the number of years.
Plugging in the given values:
FV = 1700 * [(1 + 0.07)^20 - 1] / 0.07
FV = 1700 * [3.8697 - 1] / 0.07
FV = 1700 * 2.8697 / 0.07
FV = $69,713.73

b) The largest amount Bill can withdraw annually for the next 17 years can be calculated using the formula for present value of an annuity:
PV = PMT * [1 - (1 + r)^-n] / r
Where PV is the present value, PMT is the annual payment, r is the interest rate, and n is the number of years.
Plugging in the given values and rearranging the formula to solve for PMT:
69,713.73 = PMT * [1 - (1 + 0.07)^-17] / 0.07
69,713.73 = PMT * 9.5385
PMT = 69,713.73 / 9.5385
PMT = $7,305.19

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What is the effective rate if the company borrows $200,000 on a 6 percent discounted loan with a 10 percent compensating balance for one year?
a. 7.14 percent
b. 6.00 percent
c. 6.78 percent
d. 6.44 percent

Answers

The effective rate if the company borrows $200,000 on a 6 percent discounted loan with a 10 percent compensating balance for one year is 7.14 percent (option a).

The effective rate is the real interest rate that a borrower pays after taking into account all fees, levies, and other costs related to the loan. It considers the nominal or stated interest rate, the frequency of compounding, and any additional fees that might be associated with the loan.


To calculate the effective rate, we need to first calculate the amount of interest and the amount of the loan that the company will actually receive.

Interest
= 200,000 x 0.06 = 12,000

Compensating balance = 200,000 x 0.10 = 20,000

Amount of loan received = 200,000 - 12,000 - 20,000 = 168,000

Effective rate = (12,000 / 168,000) x 100 = 7.14 percent

Therefore, the effective rate is 7.14 percent. The correct answer A

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Check my work 1 Ida Company produces a handcrafted musical instrument called a gamelan that is similar to a xylophone. The gamelans are sold for $968. Selected data for the company's operations last year follow:Required: 1. Assume that the company uses absorption costing, Compute the unit product cost for one gamelan. 2. Assume that the company uses variable costing. Compute the unit product cost for one gamelan. 1. Absorption costing unit product cost 2 Variable costing unit product cost

Answers

The unit product cost for one gamelan can be calculated using both absorption costing and variable costing methods.

1. Absorption costing unit product cost:

Absorption costing includes all manufacturing costs, including both variable and fixed costs, in the unit product cost. To calculate the unit product cost using absorption costing, we need to add up all the manufacturing costs and divide by the number of units produced.

Unit product cost = (Direct materials + Direct labor + Variable manufacturing overhead + Fixed manufacturing overhead) / Number of units produced

Without the data for direct materials, direct labor, variable manufacturing overhead, and fixed manufacturing overhead, we cannot calculate the unit product cost using absorption costing.

2. Variable costing unit product cost:

Variable costing includes only the variable manufacturing costs in the unit product cost. To calculate the unit product cost using variable costing, we need to add up all the variable manufacturing costs and divide by the number of units produced.

Unit product cost = (Direct materials + Direct labor + Variable manufacturing overhead) / Number of units produced

Without the data for direct materials, direct labor, and variable manufacturing overhead, we cannot calculate the unit product cost using variable costing.

In conclusion, without the necessary data, we cannot calculate the unit product cost for one gamelan using either absorption costing or variable costing methods.

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Recruiting candidates can be from within or outside the organization. What is the difference between internal and external recruitment? Discuss while talking about each one’s advantages and disadvantages.

Answers

Internal recruitment is the process of hiring candidates from within an organization. This is often done by promoting existing employees who are already familiar with the company’s culture and policies. The main advantage of this method is that it saves time and money, as it eliminates the need to search for external candidates and pay for recruitment costs.

It also helps to maintain employee morale and loyalty, as it shows that the company values their employees. On the downside, it can lead to a limited pool of candidates and lack of fresh perspectives.

External recruitment is the process of hiring from outside the organization. This is often done by advertising job openings and conducting interviews with prospective candidates. The main advantage of this method is that it can offer fresh perspectives and bring in new ideas.

It also allows the company to access a larger pool of candidates and select the most qualified. The downside of this method is that it can be time consuming and expensive, as it requires the organization to pay for advertising and recruitment costs. Additionally, new employees may struggle to adjust to the company’s culture and policies.

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On January 2, 2016, Christopher inherited a trust fund that he could use for college tuition. Christopher hopes to make five equal withdrawals of $40,000 each year for the next five years from the fund that will earn 10% compounded annually. The first withdrawal will be made on January 2, 2017. How much does he need to have invested in the fund on January 2, 2016, to be able to withdraw the needed amounts each year?A) $151,631B) $200,000C) $244,204D) $268,624

Answers

He need to have invested in the fund on January 2, 2016, to be able to withdraw the needed amounts each year is C) $244,204.

The problem can be solved by calculating the present value of the annuity that Christopher hopes to receive.

Step 1: Calculate the future value of the annuity.

Since Christopher hopes to withdraw five equal payments of $40,000 each year for five years, the future value of the annuity can be calculated as follows:

FV = $40,000 × [tex]((1 + 0.10)^5 - 1) / 0.10[/tex]

FV = $251,327.05

Step 2: Calculate the present value of the annuity.

The present value of the annuity can be calculated using the formula:

[tex]PV = FV / (1 + r)^n[/tex]

where r is the annual interest rate and n is the number of years.

Since Christopher hopes to withdraw the first payment on January 2, 2017, the present value of the annuity as of January 2, 2016 can be calculated as follows:

PV = $251,327.05 / [tex](1 + 0.10)^1[/tex]

PV = $228,479.14

Therefore, Christopher needs to have invested $228,479.14 in the fund on January 2, 2016, to be able to withdraw $40,000 each year for the next five years, assuming an annual interest rate of 10% compounded annually.

The closest answer choice to this amount is (C) $244,204.

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Firm commitment underwriting is the process in which an investment banker agrees to purchase the entire issue at a set price. For large issues, usually a group of investment bankers or underwriters gets involved to spread the risk inv 4.50% he issue. Such a group is called a rights offering group 4.71% Consider the case of Green Caterpillar Garden Supplies Inc.'s public cash offering. 5.40% 0.47% Hurray Bank was the underwriter in the deal. Hurray Bank sold 1,300,000 shares to the pul 0.80 per share. Green Caterpillar received $25,823,200 from the public offering. Hurray Bank's underwriting spread in this deal was In general, underwriters receive lower spreads for which of the following? O Competitively bid utility issues O Negotiated industrial offers Firm commitment underwriting is the process in which an investment banker agrees to purchase the entire issue at a set price. For large issues, usually a group of investment bankers or underwriters gets involved to spread the risk involved in the issue. Such a group is called a rights offering group a rights offering group Caterpillar Garden Supplies Inc.'s public cash offering. a purchasing syndicate 7. Non-IPO fundraising Apart from listing shares on stock markets and engaging in initial public offerings (IPOs), companies often resort to alternative methods of raising capital. Consider the following case, and answer the question that follows: In June 2010, WSFS Financial Corporation filed Form S-3 under SEC Rule 415 and announced that the company will be raising $150 million over a three-year period and using these funds for working capital and general corporate purposes. The previous case is an example of: Public cash offering Private placement Shelf registration

Answers

Firm commitment underwriting is the process in which an investment banker agrees to purchase the entire issue at a set price.

For large issues, usually a group of investment bankers or underwriters gets involved to spread the risk involved in the issue. Such a group is called a purchasing syndicate. In the case of Green Caterpillar Garden Supplies Inc.'s public cash offering, Hurray Bank was the underwriter in the deal and sold 1,300,000 shares to the public at $0.80 per share. Green Caterpillar received $25,823,200 from the public offering, and Hurray Bank's underwriting spread in this deal was 4.50%.

In general, underwriters receive lower spreads for competitively bid utility issues and negotiated industrial offers. This is because these types of issues are typically less risky and therefore require less compensation for the underwriter.

Apart from listing shares on stock markets and engaging in initial public offerings (IPOs), companies often resort to alternative methods of raising capital. One such method is shelf registration, which allows a company to file a single registration statement with the SEC and then issue securities over a period of time, typically three years.

This is the method used by WSFS Financial Corporation in the case mentioned in the question, in which the company filed Form S-3 under SEC Rule 415 and announced that it will be raising $150 million over a three-year period and using these funds for working capital and general corporate purposes.

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Perry acquired 70% of Salt on 1/1/2009 for $420 when Salt's equity consisted of $200 capital stock and S200 retained earnings. Salt's inventory was understated by $50 and building, with a 20 year life, was understated by $100. Any excess is goodwill. T 2009 2010 Perry Salt Perry Salt Separate income $1,250 S705 $1,500 $745 Dividends $600 S280 $600 $300 During 2009, Salt sold goods costing $700 to Perry at a 20% markup. $240 of these goods were in Perry's ending inventory. In 2010, Salt sold goods costing $900 to Perry at a 25% markup and Perry still had $100 on hand at the end of the year.

Answers

Perry acquired 70% of Salt on 1/1/2009 for $420 when Salt's equity consisted of $200 capital stock and $200 retained earnings. The purchase price of $420 is higher than Salt's equity, which means that there is an excess of $20 that is recorded as goodwill.

The inventory and building were both understated by $50 and $100, respectively. These amounts need to be added to Salt's equity to accurately reflect the company's financial position. The adjusted equity of Salt is $350 ($200 + $200 + $50 + $100 - $200).

The separate income for Perry and Salt in 2009 was $1,250 and $705, respectively. The dividends paid by Perry and Salt in 2009 were $600 and $280, respectively.

In 2009, Salt sold goods costing $700 to Perry at a 20% markup. This means that the sale price was $840 ($700 x 1.20). Perry still had $240 of these goods in ending inventory at the end of the year.

In 2010, Salt sold goods costing $900 to Perry at a 25% markup. This means that the sale price was $1,125 ($900 x 1.25). Perry still had $100 of these goods on hand at the end of the year.

The consolidated financial statements for Perry and Salt would include the following adjustments:

1. Eliminate intercompany sales and cost of goods sold. In 2009, this would be $840 and $700, respectively. In 2010, this would be $1,125 and $900, respectively.

2. Eliminate intercompany dividends. In 2009, this would be $280. In 2010, this would be $300.

3. Adjust ending inventory for intercompany profits. In 2009, this would be a decrease of $48 ($240 x 0.20). In 2010, this would be a decrease of $25 ($100 x 0.25).

4. Adjust goodwill for the excess purchase price. This would be an increase of $20.

5. Adjust equity for the understated inventory and building. This would be an increase of $150 ($50 + $100).

The consolidated financial statements for Perry and Salt would reflect these adjustments to accurately present the financial position and results of operations of the combined entity.

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A toy manufacturer uses 49,350 rubber wheels per year for its popular dump truck series. The firm makes its own wheels, which it can produce at a rate of 700 per day. The toy trucks are assembled uniformly over the entire year. Carrying cost is $1.60 per wheel per year. Setup cost for a production run is $38. The firm operates 235 days per year. Determine the following:a. Optimal run size (Round your answer to a whole number, following normal rules of rounding.)b. Use your final answer from part a to determine minimum total annual cost for carrying and setup. (Round your answer to a whole number.)c. Cycle time for the optimal run size (Round your answer to two decimal points.)d. Run time (Round your answer to two decimal points.)

Answers

The optimal run size and Run time are 2.18 days and 513.97 days respectively. The minimum total annual cost for carrying and setup is 2449.66. Cycle time and Run time are 2.18 days and 513.97 days respectively.

What is the EOQ model of inventory?

The amount of inventories is thus at its best. The EOQ is a model that is used to determine the ideal quantity that can be purchased to reduce both the cost of carrying inventory and the expense of processing purchase orders.

Given

Annual Demand = 49,350

Carrying cost = $1.60

Ordering cost (set-up cost) = $38

Operating Days = 235 days per year

Production Rate = 700 per day

Required :

a. Optimal run size (EOQ)

b. minimum total annual cost for carrying and setup

c. Cycle time for the optimal run size

d. Run time

a.Optimal run size (EOQ) = √((2 x Demand x Setup Cost) / Carrying Cost)

                                       = √(2 x 49350 x 38 / 1.6) = √2,344,125

                                       = 1531

b. minimum total annual cost for carrying and setup = (Demand / EOQ) * Setup Cost + (EOQ / 2) * Carrying Cost

minimum total annual cost for carrying and setup = (49,350 / 1531) * 38 + (1531 / 2) * 1.60

=25.55 * 38 + 966 * 1.60

=1224.88 + 1224.88

=2449.66

c.  Cycle time = EOQ / Daily Production Rate

                   = 1531 / 700

                   = 2.18 days

d. Run time = EOQ / Daily Production Rate * Number of Operating Days

                   = 1531 / 700 * 235

                    = 513.97 days

Thus, the Optimal run size is 1531, and the minimum total annual cost for carrying and setup is 2449.66.

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What is the present value of $7,000 paid at the end of each of the next 95 years if the interest rate is 7% per year?
The present value is___?
Also can you show how to get the answer using a financial calculator, thanks

Answers

The answer using a financial calculator and present value is $99,740.20

The present value of $7,000 paid at the end of each of the next 95 years if the interest rate is 7% per year can be calculated using the present value of annuity formula:

PV = PMT * [(1 - (1 + i)^-n) / i]

Where:

PV = Present Value

PMT = Payment amount

i = Interest rate

n = Number of periods

Plugging in the values given in the question:

PV = $7,000 * [(1 - (1 + 0.07)^-95) / 0.07]

PV = $7,000 * [(1 - 0.0026) / 0.07]

PV = $7,000 * [0.9974 / 0.07]

PV = $7,000 * 14.2486

PV = $99,740.20

Therefore, the present value of $7,000 paid at the end of each of the next 95 years if the interest rate is 7% per year is $99,740.20.

To calculate the present value using a financial calculator, you can use the following steps:

1. Enter the payment amount ($7,000) into the PMT field

2. Enter the interest rate (7%) into the I/Y field

3. Enter the number of periods (95) into the N field

4. Press the PV button to calculate the present value

The result should be the same as the one calculated using the formula above.

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Your firm has a cost of equity of 14%, cost of debt of 5%, and currently has $1.60 of debt for each $1 of equity. What is the rate of return shareholders would require if the firm were all-equity? Assume that the firm pays no corporate taxes.
A) 9.69%
B) 7.23%
C) 9.08%
D) 8.46%
E) 7.85%

Answers

The rate of return shareholders would require if the firm were all-equity is 8.46%, or answer choice D.



To calculate the rate of return shareholders would require if the firm were all-equity, we can use the weighted average cost of capital (WACC) formula:
WACC = (E/V) * Re + (D/V) * Rd * (1-Tc)
Where:
- E/V is the proportion of equity in the firm's capital structure
- D/V is the proportion of debt in the firm's capital structure
- Re is the cost of equity
- Rd is the cost of debt
- Tc is the corporate tax rate
Since the firm pays no corporate taxes, Tc = 0. Therefore, the formula simplifies to:
WACC = (E/V) * Re + (D/V) * Rd
Given that the firm currently has $1.60 of debt for each $1 of equity, the proportions of equity and debt in the firm's capital structure are:
E/V = 1 / (1 + 1.60) = 0.3846
D/V = 1.60 / (1 + 1.60) = 0.6154
Plugging in the given values for the cost of equity and cost of debt, we can solve for WACC:
WACC = (0.3846) * (14%) + (0.6154) * (5%)
WACC = 0.0538 + 0.0308
WACC = 0.0846
Therefore, the rate of return shareholders would require if the firm were all-equity is 8.46%, or answer choice D.

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In the month of October, XYZ Industries total sales were $24,000. During the month, fixed costs were $6,300 and variable costs were 70% of sales. 1) Determine the contribution margin in dollars 2) Determine the operating profit in dollars

Answers

1. The contribution margin of XYZ Industries is  $7,200.

2.The operating profit for XYZ Industries in the month of October is $900

To determine the contribution margin and operating profit for XYZ Industries in the month of October, we need to use the following formulas:

Contribution Margin = Sales - Variable Costs

Operating Profit = Contribution Margin - Fixed Costs

1) To determine the contribution margin in dollars, we need to subtract the variable costs from the total sales. The variable costs are 70% of sales, so we can calculate this as follows:

Variable Costs = 0.70 * $24,000 = $16,800

Contribution Margin = $24,000 - $16,800 = $7,200

Therefore, the contribution margin for XYZ Industries in the month of October is $7,200.

2) To determine the operating profit in dollars, we need to subtract the fixed costs from the contribution margin. The fixed costs are $6,300, so we can calculate this as follows:

Operating Profit = $7,200 - $6,300 = $900

Therefore, the operating profit for XYZ Industries in the month of October is $900.

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A firm has current liabilities of $30.6 million. Cash is $13.52 million and accounts receivable is $7.46 million. The firm's current ratio = 0.89 times. What is the value of inventory listed on the firm's balance sheet?

Answers

The value of inventory listed on the firm's balance sheet is $6.254 million.

The value of inventory listed on the firm's balance sheet can be calculated using the formula for the current ratio. The current ratio is the ratio of current assets to current liabilities, and is calculated as follows: Current ratio = Current assets / Current liabilities. In this case, the firm's current ratio is 0.89 times, and its current liabilities are $30.6 million. We can rearrange the formula to solve for current assets: Current assets = Current ratio × Current liabilities Current assets = 0.89 × $30.6 million = $27.234 million. The firm's current assets include cash, accounts receivable, and inventory. We are given the values of cash ($13.52 million) and accounts receivable ($7.46 million), so we can calculate the value of inventory by subtracting these values from the total current assets: Inventory = Current assets - Cash - Accounts receivable Inventory = $27.234 million - $13.52 million - $7.46 million = $6.254 million.

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