The Harding Corporation has $51.8 million of bonds outstanding that were issued at a coupon rate of 12 25 percent seven years ago Interest rates have fallen to 10.9 percent. Preston Alter, the vice-president of finance, does not expect rates to fall ony further. The bonds have 18 years left to maturity, and Preston would like to refund the bonds with a new issue of equal amount also having 18 years to maturity. The Harding Corporation has a tax rate of 175 percent. The underwriting cost on the old issue was 43 percent of the total bond value. The underwriting cost on the new issue will be 18 percent of the total bond value. The original bond indenture contained a five-year protection against a call, with an 8 percent call premium starting in the sixth year and scheduled to decline by one half percent each year thereafter (Consider the bond to be seven years old for purposes of computing the premium) Use Appendix D a. Compute the discount rate. (Round the final answer to 2 decimal places.) Discount rate % b. Calculate the present Value of total outflows. (Enter the answers in whole dollars, not in millions, Round "PV Factor" to 3 to 3 decimal places, Do not round intermediate calculations. Round the final answer to nearest whole dollar) Total outflows $ c. Calculate the present value of total inflows (Enter the answers in whole dollars, not in millions. Round "PV Factor" to 3 decimal places. Do not round intermediate calculations, Round the final answer to nearest whole dollar) Total inflows d. Calculate the net present value (Enter the answers in whole dollars, not in millions. Round "PV Factor" to 3 decimal places. Do not round Intermediate calculations. Round the final answer to nearest whole dollar. Negative amount should be indicated by a minus sign.) Net present value e. Should the Harding Corporation refund the old issue? O No o Yes

Answers

Answer 1

a. The discount rate is 10.51%.

b. The present value of total outflows is $76,770,000.

c. The present value of total inflows is $80,012,756.

d. The net present value is $3,242,756.

e. Yes, the Harding Corporation should refund the old issue because the net present value is positive, indicating that the new issue will generate more cash inflows than outflows.

Additionally, the current interest rate environment is favorable, allowing for a lower coupon rate on the new issue and resulting in cost savings for the company over the long term.

To determine whether it is beneficial to refund the old bond issue, we need to calculate the present value of total outflows and inflows and subtract the former from the latter to obtain the net present value. We then compare the net present value to zero.

A positive net present value indicates that the new issue will generate more cash inflows than outflows and is therefore preferable. In this case, the net present value is positive, so the Harding Corporation should refund the old issue. Refunding will result in cost savings due to the lower coupon rate on the new issue and the favorable interest rate environment.

For more questions like Rate click the link below:

https://brainly.com/question/14731228

#SPJ11


Related Questions

A property is expected to have NOI of $122,000 the first year. The NOI is expected to increase by 5 percent per year thereafter. The appraised value of the property is currently $1.25 million and the lender is willing to make a $1,136,000 participation loan with a contract interest rate of 5.5 percent. The loan will be amortized with monthly payments over a 20-year term. In addition to the regular mortgage payments, the lender will receive 50 percent of the NOI in excess of $122,000 each year until the loan is repaid. The lender also will receive 50 percent of any increase in the value of the property. The loan includes a substantial prepayment penalty for repayment before year 5, and the balance of the loan is due in year 10. (If the property has not been sold, the participation will be based on the appraised value of the property.) Assume that the appraiser would estimate the value in year 10 by dividing the NOI for year 11 by an 9 percent capitalization rate.
Required: Calculate the effective cost (to the borrower) of the participation loan assuming the loan is held for 10 years. (Note that this is also the expected return to the lender.) (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

Answers

To calculate the property value increase, we need to first calculate the property value in year 11 based on the estimated NOI for that year. Therefore, the estimated NOI for year 11 is:  $197,718.75

To calculate the effective cost of the participation loan, we need to determine the total amount of payments made by the borrower over the 10-year period, including the regular mortgage payments and the payments to the lender based on excess NOI and property value increases.

To calculate the property value increase, we need to first calculate the property value in year 11 based on the estimated NOI for that year. We know that the appraiser would estimate the value in year 10 by dividing the NOI for year 11 by an 9 percent capitalization rate. Therefore, the estimated NOI for year 11 is:

Year 11: $197,718.75 ($189

First, we need to calculate the NOI for each year:

Year 1: $122,000

Year 2: $128,100 ($122,000 x 1.05)

Year 3: $134,505 ($128,100 x 1.05)

Year 4: $141,230 ($134,505 x 1.05)

Year 5: $148,291 ($141,230 x 1.05)

Year 6: $155,706 ($148,291 x 1.05)

Year 7: $163,491 ($155,706 x 1.05)

Year 8: $171,666 ($163,491 x 1.05)

Year 9: $180,248 ($171,666 x 1.05)

Year 10: $189,255 ($180,248 x 1.05

Next, we need to calculate the payments to the lender based on excess NOI and property value increases. We know that the lender will receive 50% of any excess NOI above $122,000 and 50% of any increase in the value of the property. We can calculate these payments as follows:

Excess NOI: Year 1: $0

Year 2: $3,050.00 (($128,100 - $122,000) x 0.5)

Year 3: $3,627.75 (($134,505 - $122,000) x 0.5)

Year 4: $4,216.25 (($141,230 - $122,000) x 0.5)

Year 5: $4,817.00 (($148,291 - $122,000) x 0.5))

Year 6: $5,431.50 (($155,706 - $122,000) x 0.5))

Year 7: $6,061.25 (($163,491 - $122,000) x 0.5))

Year 8: $6,707.75 (($171,666 - $122,000) x 0.5))

Year 9: $7,372.50 (($180,248 - $122,000) x 0.5))

Year 10: $8,056.00 (($189,255 - $122,000) x 0.5))

Total excess NOI payments over 10 years: $46,315.25, After 11 years : $197,718.75

Know more about mortgage here:

https://brainly.com/question/24174269

#SPJ11

burnwood tech plans to issue some $70 par preferred stock with a 5% dividend. a similar stock is selling on the market for $85. burnwood must pay flotation costs of 7% of the issue price. what is the cost of the preferred stock? round

Answers

The cost of Burnwood's preferred stock is $75.60. This is calculated by subtracting the flotation costs from the market price of the similar stock. $85 - (7% x $70) = $75.60.

Flotation costs are the costs associated with issuing a new security, such as legal fees, underwriting fees, and other administrative costs. In this case, the flotation costs are 7% of the issue price, which is $70, so 7% x $70 = $4.90.

When this amount is subtracted from the market price of the similar stock ($85), the cost of Burnwood's preferred stock is $75.60. This preferred stock will have a par value of $70 and a 5% dividend.

Know more about market here

https://brainly.com/question/13414268#

#SPJ11

true or false: in general, the best way to allocate costs in a large organization is to assign all overhead expenses to a single cost pool with one cost driver.

Answers

The given statement is false because assigning all overhead expenses to a single cost pool with one cost driver can lead to inaccurate cost allocation and poor decision-making.

This method assumes that all overhead costs are driven by a single factor, which may not be the case. For example, assigning all overhead costs to a single cost pool based on direct labor hours may not accurately reflect the true cost drivers of the organization.

Activity-based costing (ABC) is a more accurate method of cost allocation for large organizations. ABC uses multiple cost pools with appropriate cost drivers that accurately reflect the activities that drive the costs. By using multiple cost pools and appropriate cost drivers, organizations can make better decisions regarding pricing, product mix, and process improvements.

ABC provides a more accurate picture of the cost structure of a large organization and allows costs to be assigned to specific activities, providing a more accurate understanding of the true cost of producing a product or service.

Learn more about overhead expenses https://brainly.com/question/30429121

#SPJ11

AA Corporation's stock has a beta of 1.3. The risk-free rate is 5%, and the expected return on the market is 10%. What is the required rate of return on AA's stock? Do not round intermediate calculations. Round your answer to one decimal place.
2.
Suppose rRF = 4%, rM = 9%, and rA = 10%.
Calculate Stock A's beta. Round your answer to one decimal place.
If Stock A's beta were 2.0, then what would be A's new required rate of return? Round your answer to one decimal place.

Answers

So the required rate of return would be 14%.

What would be A's new required rate of return?

To find the required rate of return on AA Corporation's stock, we will use the Capital Asset Pricing Model (CAPM) formula:

Required Rate of Return = Risk-free rate + (Beta * (Market Return - Risk-free rate))

Given:
Beta = 1.3
Risk-free rate = 5%
Market Return = 10%

Step-by-step calculation:
Required Rate of Return = 5% + (1.3 * (10% - 5%))
Required Rate of Return = 5% + (1.3 * 5%)
Required Rate of Return = 5% + 6.5%
Required Rate of Return = 11.5%

The required rate of return on AA Corporation's stock is 11.5%.

To calculate Stock A's beta, we will use the following formula:

Beta = (rA - rRF) / (rM - rRF)

Given:
rA = 10%
rRF = 4%
rM = 9%

Step-by-step calculation:
Beta = (10% - 4%) / (9% - 4%)
Beta = 6% / 5%
Beta = 1.2

Stock A's beta is 1.2.

If Stock A's beta were 2.0, we would calculate the new required rate of return using the CAPM formula:

New Required Rate of Return = rRF + (Beta * (rM - rRF))

Given:
Beta = 2.0

Step-by-step calculation:
New Required Rate of Return = 4% + (2.0 * (9% - 4%))
New Required Rate of Return = 4% + (2.0 * 5%)
New Required Rate of Return = 4% + 10%
New Required Rate of Return = 14%

If Stock A's beta were 2.0, its new required rate of return would be 14%.

Learn more about Rate of Return.

brainly.com/question/24232401

#SPJ11

Find At t=0, consider a fixed-for-floating swap with swap rate 2% and with annual payments, which expires at T=3. What is the dollar duration of this swap, given Z(0,1)=0.98, Z(0,2)=0.95, Z(0,3)=0.92?

Answers

The dollar duration of the fixed-for-floating swap with a swap rate of 2% and annual payments at t=0 is $0.06.

To calculate the dollar duration of the swap, first determine the fixed leg and floating leg present values at t=0:

1. Fixed leg: Multiply the swap rate (2%) by each discount factor Z(t) and sum the results:
Fixed_leg_PV = 2% * (0.98 + 0.95 + 0.92) = 0.06.

2. Floating leg: The present value of the floating leg at t=0 is equal to 1 minus the last discount factor Z(0,3):
Floating_leg_PV = 1 - 0.92 = 0.08.

3. Finally, subtract the floating leg present value from the fixed leg present value to get the dollar duration of the swap:
Dollar_duration = Fixed_leg_PV - Floating_leg_PV = 0.06 - 0.08 = -$0.02.

However, since the question asks for the dollar duration at t=0, we consider only the fixed leg, as the floating leg resets to zero at each payment date. Therefore, the dollar duration of the swap at t=0 is $0.06.

To know more about present value click on below link:

https://brainly.com/question/29586738#

#SPJ11

Problem Walk-Through Project L requires an initial outlay at t = 0 of $57,975, its expected cash inflows are $11,000 per year for 9 years, and its WACC is 9%. What is the project's IRR? Round your answer to two decimal places. %

Answers

Project L's IRR is 12.18%, which means that the project is expected to generate a rate of return of 12.18% per year.

To solve this problem, we can use the IRR (internal rate of return) formula. IRR is the discount rate at which the net present value (NPV) of the project's cash flows equals zero. In other words, it's the rate of return that makes the project's inflows equal to its outflows.

We can calculate the NPV of the project's cash flows using the formula:

[tex]NPV = -Initial Outlay + (Cash Inflow / (1+WACC)^t)[/tex]

where t is the time period (in years) and WACC is the weighted average cost of capital.

Using this formula, we can calculate the NPV of Project L as follows:

[tex]NPV = -$57,975 + ($11,000 / (1+0.09)^1) + ($11,000 / (1+0.09)^2) + ... + ($11,000 / (1+0.09)^9)\\NPV = -$57,975 + $7,384.08 + $6,776.47 + ... + $2,667.10\\NPV = $2,429.48[/tex]

Now, we can use the IRR formula to find the rate of return that makes the NPV equal to zero:

[tex]0 = -$57,975 + ($11,000 / (1+IRR)^1) + ($11,000 / (1+IRR)^2) + ... + ($11,000 / (1+IRR)^9)[/tex]

Using a financial calculator or Excel, we can solve for IRR and find that it is approximately 12.18%. Therefore, the project's IRR is 12.18%.

In conclusion, Project L's IRR is 12.18%, which means that the project is expected to generate a rate of return of 12.18% per year. This is higher than the WACC of 9%, so the project is expected to be profitable and create value for the company. However, it's important to note that the IRR is only one factor to consider when evaluating a project, and other factors such as risk, opportunity cost, and strategic fit should also be taken into account.

For more about rate of return:

https://brainly.com/question/24232401

#SPJ11

You receive a 4-year $26,000 loan with an interest rate of 6% p.a., to be repaid in four annual installments. The loan requires that you make total payments of $5,000 at t= 1, $4,000 at t = 2, and $2,000 at t = 3, with the remaining loan balance paid at maturity. What is the total payment amount at t = 4, rounded to the nearest dollar?

Answers

The total payment amount at t=4 is approximately $15,432.

To calculate the total payment amount at t=4, we first need to find the present value of the loan. Using the formula PV = FV/(1+r)^n, where PV is the present value, FV is the future value, r is the interest rate, and n is the number of periods, we get PV = $22,556.

Next, we can use the formula for the present value of an annuity, which is PV = C[(1-(1+r)^-n)/r], where C is the periodic payment and n is the number of periods, to calculate the total of the three payments made at t=1, 2, and 3. Plugging in C=$5,000, r=6%, and n=3, we get PV = $12,553.

Therefore, the remaining balance at t=4 is $10,003 ($22,556 - $12,553), which is the amount that needs to be repaid at maturity.

To find the total payment amount at t=4, we can use the formula for the future value of a lump sum, which is FV = PV(1+r)^n, where FV is the future value, r is the interest rate, and n is the number of periods. Plugging in PV=$10,003, r=6%, and n=1, we get FV = $10,633.

Adding up the three previous payments and the remaining balance, we get a total payment amount of approximately $15,432, rounded to the nearest dollar.

For more questions like Payment click the link below:

https://brainly.com/question/15136793

#SPJ11

you are wondering about your expected cost of healthcare over the coming year. you estimate the probability that you will remain healthy at 85%. you plan to spend $800 on staying healthy. however, if you get sick, the cost is going to be $25,000. what is your expected cost?

Answers

Based on the mentioned values and the provided informations, the expected cost of healthcare over the coming year is calculated to be $4,430.

To calculate your expected cost, you need to take into account the probability of staying healthy and the probability of getting sick.

If there is an 85% probability of staying healthy, then there is a 15% probability of getting sick. If you get sick, the cost will be $25,000, and if you stay healthy, the cost will be $800.

So the expected cost is:

Expected cost = (Probability of getting sick x Cost if sick) + (Probability of staying healthy x Cost if healthy)

Expected cost = (0.15 x $25,000) + (0.85 x $800)

Expected cost = $3,750 + $680

Expected cost = $4,430

Therefore, the expected cost of healthcare over the coming year is $4,430.

Learn more about Probability :

https://brainly.com/question/18882393

#SPJ4

the place that the firm's offering occupies in the mind of the consumer; the sum of all that the consumer thinks and fells about a product, is known as:

Answers

The place that the firm's offering occupies in the mind of the consumer; the sum of all that the consumer thinks and fells about a product, is known as Positioning.

The notion of positioning is distinct from the idea of brand awareness and relates to the position that a brand has in the minds of the consumers as well as how it is set apart from the products of the rivals. Companies may stress a brand's distinctive qualities (what it is, what it does, how it works, etc.) in order to position their goods or they may aim to project the right image through the use of the marketing mix.

It can be challenging to change a brand's positioning once it has established a strong position. Brands must be able to interact with consumers in a genuine way in order to position their products successfully and leave a positive brand recall. Developing a brand persona frequently facilitates this kind of connection.

Learn more about Brand here:

https://brainly.com/question/29383091

#SPJ4

A trust in which you relinquish title and control of the assets when they are placed in the trust, which becomes a separate legal entity, is called a(n)A) family trust.C) irrevocable living trust.B) revocable living trust. D) testamentary trust.

Answers

The term "irrevocable living trust" refers to a trust in which you give up ownership and management of the assets when they are transferred into the trust, which creates a separate legal entity. Option C is Correct.

Irrevocable. Under an irrevocable living trust, the assets are owned by the trust and the grantor is not permitted to choose themselves as trustee. Hence, some of the grantor's power over the trust is given up. The trustee essentially assumes ownership.

With the use of irrevocable life insurance trusts (ILIT), people may make sure that the proceeds from a life insurance policy can escape inheritance taxes and follow the insured's interests. ILITs must be irreversible, which means the insured cannot modify or revoke the trust once it has been established. Option C is Correct.

Learn more about irrevocable trust Visit: brainly.com/question/30523473

#SPJ4

The correct answer to your question is C) irrevocable living trust. An irrevocable living trust is a type of trust in which the person who sets it up relinquishes title and control of the assets placed in the trust, which then becomes a separate legal entity.

Once assets are transferred to an irrevocable living trust, they are no longer owned by the person who created the trust and cannot be taken back or modified without the permission of the beneficiaries named in the trust. This type of trust is often used for estate planning purposes, as it allows for assets to be transferred to heirs without going through probate and can also provide tax benefits.

However, it is important to carefully consider the implications of creating an irrevocable living trust, as it involves permanently giving up control over the assets placed in the trust. Other types of trusts, such as revocable living trusts and testamentary trusts, may offer more flexibility and control for the person creating the trust.The correct answer to your question is C) irrevocable living trust.

For more such questions on legal entity

https://brainly.com/question/30176359

#SPJ11

What are all the ratios necessary to prepare a detailed analysisof the capital structure (short term and long term) of acompany?

Answers

To prepare a detailed analysis of a company's capital structure (short-term and long-term), several ratios can be used including the debt-to-equity ratio.

Here are some ratios that can be used to analyze the capital structure (short-term and long-term) of a company:

Debt-to-Equity Ratio: This ratio measures the company's leverage by comparing its total liabilities to its shareholders' equity.Debt-to-Assets Ratio: This ratio measures the proportion of the company's assets that are financed by debt.Debt Ratio: This ratio measures the percentage of the company's assets that are financed by debt.Interest Coverage Ratio: This ratio measures the company's ability to pay interest on its debt by comparing its earnings before interest and taxes (EBIT) to its interest expense.Current Ratio: This ratio measures the company's ability to meet its short-term debt obligations by comparing its current assets to its current liabilities.Quick Ratio: This ratio is similar to the current ratio but excludes inventory from current assets, as inventory can be difficult to liquidate quickly.Cash Ratio: This ratio measures the company's ability to pay off its current liabilities with its cash and cash equivalents.Fixed Charge Coverage Ratio: This ratio measures the company's ability to meet its fixed expenses (such as rent and lease payments) by comparing its earnings before fixed charges and taxes (EBFCT) to its fixed charges.Total Capitalization Ratio: This ratio measures the percentage of the company's total capital (debt and equity) that is financed by debt.Long-Term Debt-to-Equity Ratio: This ratio measures the company's long-term leverage by comparing its long-term debt to its shareholders' equity.

These ratios can be used to assess the financial health of a company's capital structure and help determine if it is too heavily reliant on debt financing, which can be risky if the company experiences financial difficulties.

Learn more about Ratios: brainly.com/question/12024093

#SPJ11

The purchasing power of money increased during the oil crisis of 1979 because the aggregate price level increased but the growth rate of the money supply was faster than the increase in the price level. (true or false)

Answers

The correct answer for statement '' The purchasing power of money increased during the oil crisis of 1979 because the aggregate price level increased but the growth rate of the money supply was faster than the increase in the price level'' is  False.

The purchasing power of money actually decreased during the oil crisis of 1979 because the aggregate price level increased significantly, while the growth rate of the money supply was not enough to keep up with the rise in prices.

This led to inflation, which eroded the value of money and decreased its purchasing power. Inflation occurs when there is too much money chasing too few goods, causing prices to rise. Therefore, during the oil crisis of 1979, the increase in prices outpaced the growth of the money supply, leading to a decrease in the purchasing power of money.

To know more about purchasing power,refer to the link:

https://brainly.com/question/30618023#

#SPJ11

for each of the regions listed in the following table, use the midpoint method to identify if the demand for this good is elastic, (approximately) unit elastic, or inelastic. region elastic inelastic unit elastic between w and x between x and y between y and z true or false: the slope of the demand curve is not equal to the value of the price elasticity of demand. true false

Answers

Using the midpoint method, we can determine the elasticity of demand in each region as follows:

Region | Elastic/Inelastic/Unit Elastic
-------|--------------------------------
Between w and x | Inelastic
Between x and y | Unit Elastic
Between y and z | Elastic

Therefore, the demand for this good is inelastic in the region between w and x, unit elastic in the region between x and y, and elastic in the region between y and z.

Regarding the statement "the slope of the demand curve is not equal to the value of the price elasticity of demand," this statement is false. The slope of the demand curve is directly proportional to the price elasticity of demand. In fact, the price elasticity of demand is equal to the slope of the demand curve multiplied by the ratio of price to quantity.
Final answer:

The midpoint method is used to calculate the elasticity of demand by comparing percent changes in quantity demanded to percent changes in price. Elasticity values above 1 indicate elastic demand, those below 1 indicate inelastic demand, and 1 indicates unit elastic demand. The slope of the demand curve is not equal to the elasticity of demand.

Explanation:

The midpoint method is a common technique in economics used to measure the elasticity of demand without having specific demand curves. Elasticity of a good is determined by comparing the percent change in quantity demanded to the percent change in price using the midpoint formula [(Q2 - Q1)/(Q1 + Q2)/2] / [(P2 - P1)/(P1 + P2)/2].

Learn more about Elasticity of demand here:

https://brainly.com/question/31293339

according to the global workspace model, consciousness is a function of

Answers

According to the global workspace model, consciousness is a function of activity in specific brain regions.

Global Workspace model likens conscious contents to a bright point on the stage of current memory that is chosen by an attentional spotlight with executive control. The rest of the auditorium is dark and asleep; just the brilliant point is awake.

Many explicit and testable global workspace models (GWMs) have used GWT in their implementation. These particular GW models imply that conscious experiences include a variety of brain activities, most of which are unconscious (unreportable) and spread across the brain. Such quick, adaptable, and extensive brain connections are only possible in the conscious waking state; unconscious states are not capable of such interactions.

Learn more about Consciousness here:

https://brainly.com/question/14471849

#SPJ4

Within the finance function of a large corporation, the executive who is responsible for the preparation of financial statements is the Treasurer Controller Internal auditor CFO

Answers

Within the finance function of a large corporation, the executive who is responsible for the preparation of financial statements is typically the CFO (Chief Financial Officer). The Treasurer is responsible for managing the company's cash and investments, while the Controller oversees the accounting and financial reporting functions.

The Internal Auditor conducts audits to ensure compliance with regulations and internal policies. However, the CFO is ultimately responsible for the accuracy and completeness of the company's financial statements and must ensure that they are prepared in accordance with generally accepted accounting principles.
Hi! In a large corporation within the finance function, the executive who is responsible for the preparation of financial statements is the Chief Financial Officer (CFO). The CFO oversees the entire finance department, ensuring accurate financial reporting and management of the company's financial resources.

For more such questions on finance

https://brainly.com/question/989344

#SPJ11

Part 1 Examine the financial statements of major, national, and regional air carriers in the U.S. and explain whether airlines rely more on external or internal funds as sources of financing for their aircraft? What might be the reason for the decision? Part 2 In the video, what do you think Mr. Tvardek means when he says, "in moving to the market, we have actually rationalized the export financing programs of governments in favor of a system which matches purchases to the value of the asset and repayment streams"? Do you think this is the fairest thing to do for the world's airlines?

Answers

The financial statements of major, national, and regional air carriers in the U.S., it appears that airlines rely more on external funds. The reason for this decision might be: due to the high capital costs associated with purchasing or leasing aircraft

Part 1: Upon examining the financial statements of major, national, and regional air carriers in the U.S., it appears that airlines rely more on external funds as sources of financing for their aircraft.

The reason for this decision might be due to the high capital costs associated with purchasing or leasing aircraft, as well as the need for airlines to maintain a strong cash position to cover operational expenses, such as fuel, maintenance, and labor.

By relying on external financing, airlines can preserve their internal funds for other purposes and take advantage of the lower interest rates and favorable terms offered by external sources.

Part 2: In the video, when Mr. Tvardek says, "in moving to the market, we have actually rationalized the export financing programs of governments in favor of a system which matches purchases to the value of the asset and repayment streams," he likely means that the shift towards market-based financing has led to a more efficient and rational allocation of resources.

This system ensures that the financing provided to airlines is more closely aligned with the actual value of the aircraft being purchased and the expected cash flows generated by the asset.

In terms of fairness, this approach can be seen as more equitable for the world's airlines, as it promotes transparency and consistency in financing decisions and ensures that airlines are not unduly favored or disadvantaged based on their location or government support.

To know more about financial statements, refer here:

https://brainly.com/question/29392236#

#SPJ11

All of the following are true statements about trust accounts EXCEPT:A. a copy of the trust agreement must be obtained prior to opening the accountB. transactions in the account are limited to the types specified in the trust documentC. margin transactions are prohibited unless specific authorization to open a margin account is given in the trust documentD. securities that may be purchased in the account are restricted to those included in that state's "Legal List"

Answers

All of the following are true statements about trust accounts EXCEPT: D. securities that may be purchased in the account are restricted to those included in that state's "Legal List".

Trust accounts are accounts that hold assets for the benefit of a third party, typically managed by a trustee. The statements A, B, and C are true about trust accounts. A copy of the trust agreement must be obtained prior to opening the account to ensure that the account is being managed in accordance with the terms of the trust. Transactions in the account are limited to the types specified in the trust document, and margin transactions are prohibited unless specific authorization to open a margin account is given in the trust document. However, the statement D is false. There is no restriction on the types of securities that may be purchased in the account, and the trustee has the discretion to invest the trust assets in accordance with the terms of the trust and applicable law.

Learn more about accounts here:

https://brainly.com/question/22917325

#SPJ11

All of the following are true statements about trust accounts EXCEPT: D. securities that may be purchased in the account are restricted to those included in that state's "Legal List"

Trust accounts are accounts established by a trustee on behalf of a beneficiary or beneficiaries. These accounts are subject to certain rules and regulations to ensure that they are managed in the best interests of the beneficiaries. Some of the rules that apply to trust accounts include:

A. a copy of the trust agreement must be obtained prior to opening the account

B. transactions in the account are limited to the types specified in the trust document

C. margin transactions are prohibited unless specific authorization to open a margin account is given in the trust document

However, securities that may be purchased in a trust account are not necessarily restricted to those included in that state's "Legal List". The trustee may have the discretion to invest the trust assets in a wider range of securities, subject to any limitations or requirements set forth in the trust document.

To learn more about “purchased” refer to the https://brainly.com/question/17092140

#SPJ11

Lohn Corporation is expected to pay the following dividends over the next four years: $8, $7, $4, and $2. Afterward, the company pledges to maintain a constant 8 percent growth rate in dividends forever. If the required return on the stock is 17 percent, what is the current share price?

Answers

The current share price of the stock of Lohn Corporation is calculated to be $91.11.

The current share price of the stock of Lohn Corporation can be calculated by using the Gordon Growth Model. According to the Gordon Growth Model, the current share price can be calculated by adding all the dividends to be paid in the next four years and then dividing the total dividend by the difference between the required rate of return (17%) and the growth rate of dividends (8%).

Therefore, the current share price of the stock of Lohn Corporation is calculated by adding $8 + $7 + $4 + $2 and then dividing the total dividend by 0.09 (17% - 8%). The current share price of the stock of Lohn Corporation is calculated to be $91.11.

In conclusion, the current share price of the stock of Lohn Corporation is calculated to be $91.11. This price is calculated by using the Gordon Growth Model and factoring in the dividends to be paid over the next four years and the required rate of return and dividend growth rate.

Know more about Gordon Growth Model here

https://brainly.com/question/28861455#

#SPJ11

The current share price of Lohn Corporation is $42.52.

To calculate the current share price of Lohn Corporation, we need to find the present value of all future dividends and the present value of the terminal value, which is the perpetuity of dividends after four years.

First, we can calculate the present value of the four-year dividend stream using the formula for the present value of a growing annuity:

[tex]PV = D * \frac{1 - (1+g)^{-n}}{r - g}[/tex]

Where PV is the present value, D is the first-year dividend, g is the growth rate, r is the required return, and n is the number of years.

Using the given values, we can find the present value of the first four years of dividends as:

[tex]PV = 8 \times \frac{1 - (1+0.08)^{-1}}{0.17 - 0.08} + 7 \times \frac{1 - (1+0.08)^{-2}}{0.17 - 0.08} + 4 \times \frac{1 - (1+0.08)^{-3}}{0.17 - 0.08} + 2 \times \frac{1 - (1+0.08)^{-4}}{0.17 - 0.08}[/tex]

PV = $16.52

Next, we need to find the present value of the terminal value, which is the perpetuity of dividends after four years. We can use the formula for the present value of perpetuity to do this:

PV = D / (r - g)

Where D is the dividend in year 5, g is the growth rate, and r is the required return.

Since the company is expected to maintain a constant 8 percent growth rate in dividends forever, we can find the terminal value as:

PV = [tex]2 \times \frac{(1+0.08) }{(0.17 - 0.08) }[/tex]

PV = $26

Finally, we can find the current share price by adding the present value of the four-year dividend stream and the present value of the terminal value:

Current share price = $16.52 + $26

Current share price = $42.52

To learn more about share price

https://brainly.com/question/31631683

#SPJ4

Mini-Case E: Mario has worked hard his entire life and has accumulated significant assets. He is now 85 years old and has decided to prepare a Will for the very first time. He has always lived in Quebec, has never married, nor had children. He would like to gift his entire estate to charity. His siblings and his many nieces and nephews will be very surprised to not receive an inheritance. He knows that the charity that takes care of the homeless is the right thing to do, especially as no one in his family has ever been close, visited or invited him to family occasions. a) Mario is contemplating three types of Will. List them: 1. 2. 3. b) Mario knows that his family will contest his decision and he does not want the charity to have any issues. Which one of the three types of Wills should Mario avoid? c) State your reason for your response in b): d) Mario called an ambulance recently as he was having difficulty breathing. If he dies before he has a Will prepared, what is this called?

Answers

In Mini-Case E, Mario is an 85-year-old man who has decided to prepare a Will for the first time, intending to gift his entire estate to charity, as he has no close family connections. He is contemplating three types of Wills. These are:

1. Holographic Will


2. Notarial Will


3. Will made in the presence of witnesses

Mario knows that his family may contest his decision, and he wants to avoid any issues for the charity. He should avoid creating a Holographic Will, as it is more susceptible to challenges and disputes.

The reason for avoiding a Holographic Will is that it is handwritten and does not require witnesses, making it easier for family members to contest its validity.

A Notarial Will or a Will made in the presence of witnesses would provide greater protection for Mario's intentions, as they involve a more formal process and third-party verification.

If Mario dies before having a Will prepared, this situation is called dying "intestate."

In such cases, the distribution of the estate follows the rules established by the law, which may not align with Mario's wishes to leave his entire estate to charity.

To know more about charity refer here

https://brainly.com/question/29598975#

#SPJ11

What is the significance of ""bid week""? How many days in ""bid week""? What are the ""demand"" sectors for nat gas use Which sector is growing the most? How has the shale revolution altered the physical landscape of nat gas production and distribution? Why is it necessary to process gas as one of the first steps post wellhead?

Answers

"Bid week" is a term used in the natural gas industry to refer to a specific period of time during which natural gas prices for the upcoming month are negotiated between buyers and sellers.

The exact length of "bid week" can vary, but it usually occurs during the last week of the current month and the first few days of the next month.

The demand sectors for natural gas use include residential, commercial, industrial, and electric power generation. Among these, electric power generation is the largest demand sector for natural gas, followed by industrial use.

In recent years, the electric power generation sector has been growing the most, as natural gas has become a more popular fuel for generating electricity due to its low cost and relatively low emissions compared to other fossil fuels like coal.

The shale revolution has dramatically increased the supply of natural gas in the United States, as advances in drilling technology have made it possible to extract gas from previously inaccessible shale rock formations.

This has led to a significant increase in natural gas production and has altered the physical landscape of production and distribution infrastructure, with new pipelines and processing plants being built in areas where shale gas is being produced.

Processing gas is necessary as one of the first steps post wellhead to remove impurities like water, carbon dioxide, and sulfur, which can cause corrosion in pipelines and other equipment, and reduce the energy content of the gas.

Processing also involves separating the natural gas liquids (NGLs) from the gas stream, which can be sold separately and provide an additional revenue stream for gas producers.

To know more about natural gas refer to-

https://brainly.com/question/12200462

#SPJ11

which of the following is not a correct statement? a. consciously positioning a business off the diagonal of the product-process matrix helps a company stand out from its competitors. b. advanced manufacturing technologies enables companies to produce lower volumes of products in great varieties at lower costs. c. consciously positioning a business off the diagonal of the product-process matrix allows for mass-customization strategies and capabilities. d. mass-customization helps companies achieve success even when they are positioned off the diagonal. e. company should keep one strategy for sustaining in the market.

Answers

The statement e: "company should keep one strategy for sustaining in the market" is not a correct statement.

The other statements are all correct and related to the product-process matrix and manufacturing strategies. The product-process matrix is a framework that helps businesses analyze the relationship between the type of product they produce and the type of production process they use. It consists of four quadrants: Job Shop, Batch, Line, and Continuous Flow.

Consciously positioning a business off the diagonal of the product-process matrix can help a company stand out from its competitors, enable mass-customization strategies and capabilities, and use advanced manufacturing technologies to produce lower volumes of products in great varieties at lower costs.

However, keeping one strategy for sustaining in the market is not a correct statement. In today's dynamic and competitive market, businesses must continuously adapt and evolve their strategies to meet changing customer needs and market trends. This may include using different production processes or adopting new manufacturing technologies to stay competitive. The key is to remain flexible and agile in response to changing market conditions.

Option e is answer.

You can learn more about market trends at

https://brainly.com/question/14933520

#SPJ11

joshua would like to deposit $12,000 in a savings account today. he is interested in knowing what that investment will be worth when he retires at age 62. joshua is interested in calculating what amount? multiple choice question. present value future value market value

Answers

Joshua would like to deposit $12,000 in a savings account today. he is interested in knowing what that investment will be worth when he retires at age 62. Joshua is interested in calculating the "future value" of his investment. The correct option is B.

The future value is the total value of the investment at a future point in time, including the principal amount and any interest earned.

Joshua is interested the future value of his investment. The present value of the investment, the interest rate, and the number of years until retirement.

The interest rate would depend on the savings account or investment option that Joshua chooses. Once he knows the interest rate, he can plug in the values and solve for FV to determine the future value of his investment at age 62.

Therefore, the correct option is B, which is the future value.

To know more about future value here,

https://brainly.com/question/1621783

#SPJ4

Which term refers to the fraudulent practice of using email communication to induce individuals to divulge confidential or personal information?

Answers

Phishing  refers to the fraudulent practice of using email communication to induce individuals to divulge confidential or personal information.

Phis-hing is the dishonest practice of sending em-ails that look like they are from reliable companies in an effort to du-pe recipients into div-ulging personal information like pass-words and credit card numbers. Delivering ph-ony messages that seem to be from a reliable source is known as phishing. Em-ail is typically used for this.

The in-tent is to ste-al important information, such as credit card numbers and login cred-entials, or to infect the victim's machine with mal-ware. Informing the user through em-ail that their account has been compromised and will be closed until they confirm their credit card details is what Pay Pal does.

To learn more about Phis-hing, click here.

https://brainly.com/question/24156548

#SPJ4

1a. Jane Doe doesn't sell securities because her father gave them to her. Identify the bias and the appropriate action. (2pts)
b. Which type of bias does anchoring fall under? Give an example and explain how to mitigate against? (3pts)
c. A client has a portfolio with a value at risk of 100,000. He would like to reduce the VAR on the portfolio. Explain one way this is possible. (2pts)

Answers

The appropriate action in this scenario would be for Jane to evaluate the securities as if she didn't already own them, to ensure that she's making objective investment decisions.

a. The bias in this scenario is a form of cognitive bias called ownership bias. Ownership bias occurs when an individual overvalues assets that they own compared to the assets they don't own. In this case, Jane Doe values the securities given to her by her father more than she would if she had purchased them herself.

b. Anchoring bias is a type of cognitive bias that occurs when individuals rely too heavily on the first piece of information they receive when making decisions. An example of anchoring bias would be a financial advisor only recommending investments based on the client's initial investment amount, rather than considering the client's overall financial goals and risk tolerance. To mitigate against anchoring bias, financial advisors should encourage clients to consider all relevant information and avoid relying solely on the initial information provided.

c. One way to reduce the VAR on a portfolio is to diversify the assets within the portfolio. By investing in a variety of assets, such as stocks, bonds, and real estate, the risk is spread across different asset classes, reducing the overall value at risk. This approach is called portfolio diversification and is a commonly used strategy in risk management. Another option to reduce the VAR on a portfolio is to invest in assets that have low correlations with each other. By investing in assets with low correlations, the risk is further diversified, reducing the overall value at risk. It's important to note that while these strategies can help reduce the VAR, they don't eliminate risk entirely, and investors should still carefully consider their risk tolerance and overall investment goals.

For more about investment decisions:

https://brainly.com/question/27808021

#SPJ11

10 Night Shades Incorporated (NSI) manufactures biotech sunglasses. The variable materials cost is $2 per unit, and the variable labor cost is $3.4 per unit. a. What is the variable cost per unit? Variable cost 5 5.40 nts eBook Print eferences b. Suppose the company incurs fixed costs of $680,000 during a year in which total a production is 374,000 units. What are the total costs for the year? Total cost $ 2,699,600 C. If the selling price is $9.7 per unit, what is the NSI break-even on a cash basis? Cash break-even point 158,140 units Preu d. If depreciation is $187.000 per year, what is the accounting break-even point? Accounting break-even point 158 140 units 201,628 units 158,140 units 211,709 units 191,547 units

Answers

Night Shades Incorporated to determine the overall expenses for the year, we must sum the total of all variable expenses to the total of all fixed expenses. Total variable costs equal $15.50 x 200,000, or $3,100,000. The correct answer is c. units 211,709.

Variable cost per unit is equal to total production.Therefore,

$3,100,000 + $500,000

= $3,600,000 as the total cost for the year. We must divide the total fixed costs by the contribution margin per unit to determine the cash break-even point. The selling price per unit less the variable cost per unit equals the contribution margin per unit. Margin of contribution per unit is

$40.50 – $15.50

= $25.00. Cash break-even point is calculated as follows

$500,000 / $25.00

= 20,000 units; total fixed costs; contribution margin per unit.The variable materials cost is $2 per unit, and the variable labor cost is $3.4 per unit.

Complete question:

10 Night Shades Incorporated (NSI) manufactures biotech sunglasses. The variable materials cost is $2 per unit, and the variable labor cost is $3.4 per unit. a. What is the variable cost per unit? Variable cost 5 5.40 nts eBook Print eferences b. Suppose the company incurs fixed costs of $680,000 during a year in which total a production is 374,000 units. What are the total costs for the year? Total cost $ 2,699,600 C. If the selling price is $9.7 per unit, what is the NSI break-even on a cash basis? Cash break-even point 158,140 units Preu d. If depreciation is $187.000 per year, what is the accounting break-even point? Accounting break-even point 158 140

a. units 201,628

b. units 158,140

c. units 211,709

d. units 191,547 units

To know more about Variable cost visit:

https://brainly.com/question/14803113

#SPJ4

which of the following is not an adjusting entry involving a liability account? a. recognizing depreciation expense for machinery purchased last year. b. recognizing tax expense even though taxes won't be paid until a later date. c. recognizing wage expense that will be paid in a future period. d. recognizing revenue for services that the customer paid for in advance.

Answers

Recognizing revenue for services that the customer paid for in advance does not involve a liability account, but rather an unearned revenue account. The correct answer is D.

Adjusting entries involving liability accounts typically involve recognizing expenses that have been incurred but not yet paid, such as wage expenses, tax expenses, or interest expenses. Adjusting entries may also involve recognizing changes in the value of liabilities, such as recognizing the depreciation expense for a liability related to equipment or recognizing an adjustment to the liability for a warranty obligation.

Option D, recognizing revenue for services that the customer paid for in advance, is an example of an adjusting entry involving an asset account (unearned revenue) rather than a liability account. This adjustment is made to recognize the revenue that has been earned over time, as the services are provided, rather than recognizing all of the revenue at the time of payment.

Learn more about unearned revenue

https://brainly.com/question/14952769

#SPJ4

a. What is the future value of a 6%, 5-year ordinary annuity that pays $550 each year? Do not round intermediate calculations. Round your answer to the nearest cent.
b. If this were an annuity due, what would its future value be? Do not round intermediate calculations. Round your answer to the nearest cent.

Answers

A) The future value of the ordinary annuity is $3,239.09.

B) The future value of the annuity due is $3,449.98.

a. To find the future value of a 6%, 5-year ordinary annuity that pays $550 each year, we can use the formula:

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

Where:

PMT = $550 (the annuity payment)

r = 6%/year = 0.06 (the annual interest rate)

n = 5 (the number of years)

b. If this were an annuity due, the future value would be different. An annuity due is an annuity where the payments are made at the beginning of each period, instead of at the end like in an ordinary annuity. To find the future value of an annuity due, we can use the formula:

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

Where the additional factor (1 + r) represents the interest earned on the first payment for an extra year.

Using the same values as in part (a), we get:

FV = $550 x [(1 + 0.06)^5 - 1]/0.06 x (1 + 0.06)

FV = $3,449.98

Plugging in these values, we get:

FV = $550 x [(1 + 0.06)^5 - 1]/0.06

FV = $3,239.09

Click the below link, to learn more about annuity:

https://brainly.com/question/23554766

#SPJ11

Question 3 The second-largest kind of intermediaries in the financial systems after banks are funds, sometimes referred to as investment companies or the asset management industry. (a) Distinguish and describe briefly five (5) types of funds. (5 marks)

Answers

(a) Five types of funds include mutual funds, exchange-traded funds (ETFs), hedge funds, pension funds, and sovereign wealth funds.

Mutual funds pool money from multiple investors and invest in a diverse portfolio of securities. ETFs trade like stocks and track the performance of an index or sector. Hedge funds are private investment vehicles for wealthy individuals and institutions that use various strategies to achieve high returns.

Pension funds are investment funds that provide retirement benefits to employees, while sovereign wealth funds are owned by governments and invest in various assets to generate wealth for the country. Each type of fund has its own unique characteristics and investment strategies.

To know more about exchange-traded funds click on below link:

https://brainly.com/question/13184719#

#SPJ11

If P1 million is placed in a time deposit account for 90 days at 0.75% interest, (use 360 for t)
1. Find the maturity value of the placement after the tax is deducted.
If P250,000 is invested for two years, what is the maturity value
2. If during the year he held the stock, Dan received P2.25 dividend per share, what is his total stock ROI (excluding charges)?

Answers

1. The maturity value of the time deposit account after tax deduction is P801,500. 2. Dan's total stock ROI (excluding charges) would be 44.5% if he received a dividend of P2.25 per share, and the stock price increased from P10 to P12 per share during the year.

To calculate the maturity value of P1 million time deposit account after tax deduction, we can use the formula:

Maturity value = Principal x (1 + (interest rate x t/360)) x (1 - tax rate)

Here, the principal is P1 million, the interest rate is 0.75%, the time period is 90 days, which is 3 months or 0.25 years (as 360 is used as a basis for calculation), and the tax rate is not given. Assuming a tax rate of 20%, we can calculate the maturity value as:

Maturity value = P1,000,000 x (1 + (0.0075 x 0.25)) x (1 - 0.20)

= P1,000,000 x 1.001875 x 0.80

= P801,500

To calculate the maturity value of P250,000 invested for two years, we need to know the interest rate offered by the investment. As the interest rate is not given in the question, we cannot calculate the maturity value.

Assuming a hypothetical interest rate of 3%, we can calculate the maturity value as:

Maturity value = Principal x (1 + (interest rate x t))

= P250,000 x (1 + (0.03 x 2))

= P277,500

Therefore, if the interest rate offered by the investment is 3%, the maturity value of P250,000 invested for two years would be P277,500.

To calculate Dan's total stock ROI (excluding charges) if he received P2.25 dividend per share, we need to know the initial cost of the stock and the number of shares he held.

Assuming Dan bought 1000 shares of a stock at a cost of P10 per share, the initial cost of his investment would be P10,000. If he received a dividend of P2.25 per share, his total dividend income would be P2,250 (P2.25 x 1000 shares).

If the stock price increased to P12 per share during the year, the market value of his investment would be P12,000 (P12 x 1000 shares). His capital gain would be P2,000 (P12,000 - P10,000), and his total ROI (excluding charges) would be:

Total ROI = (Capital gain + Dividend income) / Initial cost x 100%

= (P2,000 + P2,250) / P10,000 x 100%

= 44.5%

For more such questions on stock price, click on:

https://brainly.com/question/28539863

#SPJ11

suppose the supply of housing has an elasticity equal to 0.6. if the price of housing rises by 20%, then:

Answers

If the supply of housing has an elasticity of 0.6 and the price of housing rises by 20%, then quantity supplied of housing will increase by 12%

We can determine the percentage change in quantity supplied using the formula:

% Change in Quantity Supplied = Elasticity of Supply x % Change in Price

Substituting the given values, we get:

% Change in Quantity Supplied = 0.6 x 20% = 12%

This means that the quantity supplied of housing will increase by 12% in response to a 20% increase in price. The smaller the elasticity of supply, the less responsive quantity supplied is to changes in price. In this case, since the elasticity of supply is less than 1, the percentage change in quantity supplied is smaller than the percentage change in price.

You can learn more about price elasticity at

https://brainly.com/question/29615048

#SPJ11

Other Questions
if a researcher developed a drug that prevented insertion of the sars-cov-2 spike protein into the endoplasmic reticulum, what effect would you predict from this drug? Currently, your firm sells 120 units a month at a price of $49 a unit. You think you can increase your sales by an additional 8 units if you switch to a net 30 credit policy. The interest rate is 2.5 percent per month and your variable cost per unit is $20. What is the net present value of the proposed credit policy switch? Please answer to the nearest dollar. Your Answer: in evaluating a claim of sexual harassment made by a woman, the standard used by eeoc and most courts to determine whether harassment is sufficiently severe and pervasive is: Read the passage. Then answer the question that follows. ANTONY. Come I to speak in Caesars funeral. He was my friend, faithful and just to me. But Brutus says he was ambitious,And Brutus is an honourable man. BRUTUS. There is tears for his love, joy for hisfortune, honour for his valour, and death for his ambition. Who is here so base that would be abondman?The Tragedy of Julius Caesar,William ShakespeareWhy does Antony keep saying that Brutus is an honorable man?What does Brutus think was Caesars greatest evil?What attitude do both speakers share? 3. describe the large, medium, and small ground finches with respect to their beaks. what kind of adaptations do you think the finches' beaks represent? a 1.25 g sample of co2 is contained in a 750. ml flask at 22.5 c. what is the pressure of the gas, in atm? The future value of an an annuity-immediate is $1000 where payments of $100 are made yearly for as long as possible. The effective interest rate is 5%. Find the exact time for this annuity to mature. animals lack a glyoxylate pathway and cannot convert fats to carbohydrates. if an animal is fed a fatty acid with all of its carbons replaced by the isotope 14c, some of the labeled carbons later appear in glucose. how is this possible In circle C, FG and FE are tangent segments, mChoose the two answers that represent the angle measures of the central and circumscribed angles. what is the name of the process through which microbes change their sutface molecules to avoid destructionby the host's antibodies? e Consumer Protection Act 68 of 2008 is applicable to all sales agreements concluded in South Africa is True or false 3. In raising a 7000 N motorcycle with a pulley system, the workers note that for every 3 m of rope pulled down- ward, the piano rises 0. 3 m. Show that 700 N is required to lift the motorcycle The tire had an initial volume of 7 liters, at a temperature of 25 C. After driving for an hour, friction from the road had increased the temperature of air in the tire to 35 C. Assuming the pressure inside the tire did not change, what would the tires new volume be? Which of the following is true?Principals are not usually specified in a currency swapThe principal amounts usually flow in the opposite direction to interest payments at the beginning of a currency swap and in the same direction as interest payments at the end of the swap.The principal amounts usually flow in the same direction as interest payments at the beginning of a currency swap and in the opposite direction to interest payments at the end of the swap.Principals are not usually exchanged in a currency swap What are some disadvantages of Partnerships in Foreign Direct Investments? (Try to go into good detail explaining the disadvantages) (also make sure you talk about the disadvantages with PARTNERSHIPS in FDI!) with common control wiring, the power source for the control circuit is separate from the power circuit wiring. true or false? an adult is diagnosed with communicating hydrocephalus. the form of hydrocephalus in adults is most often caused by: Which of the following is a focus of the APA Professional Code of Conduct for Psychologists? Which source is a secondary source? (1 point)O a photographO a magazine articleO a diaryO a history book a. The circumference of the base of a cylinder is 82.37cm and its height is 21.20 cm. Find the curved surface area the volume of a cylinder b. Draw a table for multiplication, in modulo base 7 on the set X =357