Answer:
D
Explanation:
Political prominence inst determined in any of the capital budgeting methods. Also, political prominence shouldn't be a deciding factor when making an investment. a project might be politically prominent but it is unprofitable or doesn't align to the goals of the company.
Assume that the firm is 40% financed by debt and 60% financed by equity. Its cost of debt is 8% and the cost of equity is 15%. The tax rate is 40%. What is the firm’s WACC?
Answer:
10.92%
Explanation:
A firm is 40% financed by debt
= 40/100
= 0.40
The firm is also 60% financed by equity
= 60/100
= 0.60
Its cost of debt is 8%
=8/100
=0.08
Cost of equity is 15%
= 15/100
= 0.15
Tax rate is 40%
= 40/100
= 0.40
Therefore, the firm's WACC can be calculated as follows
WACC= 0.40×0.08×(1-0.40) + 0.60×0.15
= 0.032×0.6 + 0.09
= 0.0192 + 0.09
= 0.1092×100
= 10.92%
Hence the firm's WACC is 10.92%
A company has evaluated several projects using net present value. All projects are similar in amount invested and risk. Rank the projects in the order they should be accepted.
Answer:
First option - $2067
second option - $340
third option - $62
not acceptable - ($615)
Explanation:
Please find attached the question used in answering this question.
Net present value is the present value of after tax cash flows from an investment less the amount invested.
Only projects with a positive NPV should be accepted. A project with a negative NPV should not be chosen because it isn't profitable.
When choosing between positive NPV projects, choose the project with the highest NPV first because it is the most profitable.
In answering the question "Which customers are most likely to click on my online ads and purchase my goods?" you are most likely to use which of the following analytic applications?A) customer profitabilityB) propensity to buyC) customer attritionD) channel optimization
Answer:
B) Propensity to buy.
Explanation:
In answering the question "Which customers are most likely to click on my online ads and purchase my goods?" you are most likely to use the propensity to buy.
Propensity to buy in marketing is a predictive model, which is used to measure or determine the chances of a customer being willing to buy a particular product.
In this scenario, to determine the likelihood of a customer clicking on an online advert and purchasing a seller's goods, after visiting a website or receiving promotional information about, it is ideal to use the propensity to buy analytic approach.
The following financial information was summarized from the accounting records of Train Corporation for the current year ended December 31: Rails Division Locomotive Division Corporate Total Cost of goods sold $45,500 $30,500 Direct operating expenses 27,600 23,000 Sales 92,300 67,600 Interest expense $2,100 General overhead 18,900 Income tax 4,000 The income from operations for the Locomotive Division is a.$44,600 b.$67,600 c.$14,100 d.$37,100
Answer:
$14,100
Explanation:
To find the answer, we use the following formula:
Income from operations = Sales - Cost of Goods Sold - Direct Operating Expenses - General Overhead
Income from operations = $67,600 - 30,500 - 23,000
= $14,100
Lanning Company sells 160,000 units at $45 per unit. Variable costs are $27 per unit, and fixed costs are $975,000. Determine (a) the contribution margin ratio, (b) the unit contribution margin, and (c) income from operations.
Answer:
Instructions are below.
Explanation:
Giving the following information:
Sales= 160,000 units
Selling price= $45 per unit.
Variable costs are $27 per unit
Fixed costs are $975,000.
First, we need to calculate the contribution margin ratio using the following formula:
contribution margin ratio= (selling price - unitary variable cost) / selling price
contribution margin ratio= (45 - 27) / 45
contribution margin ratio= 0.4
Now, we can calculate the contribution margin per unit:
Contribution margin= selling price - unitary variable cost
Contribution margin= 45 - 27
Contribution margin= 18
Finally, the net operating income:
Net income= units sold*contribution margin - fixed costs
Net income= 160,000*18 - 975,000
Net income= $1,905,000
The cities of Tampa Bay and St. Petersburg, located on opposite sides of the Tampa Bay, are associated with what manufacturing industry
Answer:
The cities of Tampa Bay and St. Petersburg, are associated with the electronics and stationary manufacturing industry. For example office equipment, electronics, and optical products are manufactured in great quantities in both cities.
Explanation:
On November 7, Mura Company borrows $370,000 cash by signing a 90-day, 8%, $370,000 note payable. 1. Compute the accrued interest payable on December 31. 2. & 3. Prepare the journal entry to record the accrued interest expense at December 31 and payment of the note at maturity on February 5.
Answer:
At 31 December, the Interest for 54 days accrues as follows :
Interest expense $17,740 (debit)
Note Payable $17,740 (credit)
On payment February 5, the Interest expense will be capitalized in the Note Payable as follows :
Note Payable $407,473 (debit)
Cash $407,473 (credit)
Explanation:
AT, November 7, When Mura Company borrows the money :
Cash $370,000 (debit)
Note Payable $370,000 (credit)
At 31 December, the Interest for 54 days accrues as follows :
Interest expense $17,740 (debit)
Note Payable $17,740 (credit)
Interest expense calculation = $370,000 × 8% × 54/90
= $17,740
At February 5, the interest for 60 days accrues as follows :
Interest expense $19,733 (debit)
Note Payable $19,733 (credit)
Interest expense calculation = $370,000 × 8% × 60/90
= $19,733
On payment February 5, the Interest expense will be capitalized in the Note Payable as follows :
Note Payable $407,473 (debit)
Cash $407,473 (credit)
Note Payable Calculation = $370,000 + $19,733 + $17,740
$407,473
Which of the following promises is subject to the "strict performance" standard? Assume that performance of the promise is not an express condition of the promisee's duty to perform. cousrse hero
Answer:
A promise to deliver a deed
Explanation:
The term, 'strict performance' is used to describe a contract between two parties. A contract is an agreement between two parties, and it is legally binding. When discharging contracts involving services, 'substantial performance' is required. For example, if I tell a painter to paint my house blue except for the kitchen and storeroom which should be painted white, and he does accordingly but failed in painting the kitchen white, he has performed substantially even though there was a minor breach. The consequences of which would be borne by him.
'Strict performance' is required in contracts where the terms are stated in express terms and the standards are very high. A 'deed' is such a contract because it is a document specifying the legal rights of a person or the ownership of a property. It requires the signatures of the two parties. Therefore, strict performance and adherence to the contractual deed are required.
project that has an expected return of 25% and a standard deviation of 30%. What is the project's coefficient of variation
Answer: 1.2
Explanation:
The Coefficient of Variation tells the accuracy of the mean. If it is high then there is a large dispersion around the mean. A smaller figure indicates that the mean is more accurate/ precise.
Coefficient of Variation = Standard Deviation / Expected Return
Coefficient of Variation = 30%/25%
Coefficient of Variation = 1.2
g A company's most recent balance sheet reported total assets of $1.9 million, total liabilities of $0.8 million, and total equity of $1.1 million. Its Debt to equity ratio is: Group of answer choices
Answer:
0.73
Explanation:
Debt to equity ratio is calculated as Total debt / Total equity
= $0.8 million / $1.1 million
= 0.73
Therefore, debt to equity ratio is 0.73
Charlie hopes to accumulate $83,000 in a savings account in 10 years. If he wishes to make a single deposit today and the bank pays 3 percent compounded annually on deposits of this size, how much should Charlie deposit in the account
Answer:
PV= $61,759.80
Explanation:
Giving the following information:
Future value (FV)= $83,000
Number of years (n)= 10 years
Interest rate (i)= 3% compounded annually
To calculate the initial deposit, we need to use the following formula:
PV= FV/(1+i)^n
PV= 83,000 / (1.03^10)
PV= $61,759.80
Duff Inc. paid a 2.34 dollar dividend today. If the dividend is expected to grow at a constant 1 percent rate and the required rate of return is 11 percent, what would you expect Duff's stock price to be 4 years from now?
Answer:
$24.60
Explanation:
The computation of the price for 4 years from now is shown below:
Price = Dividend ÷(Required rate of return - growth rate)
where,
Dividend is
= Dividend × (1 + growth rate)^number of years
= $2.34 × (1 + 0.01)^5
= $2.46
All the other items would remain the same
So, the price is
= $2.46 ÷ (11% - 1%)
= $24.60
Suppose that in 2011, per-person GDP in Singapore was $53,591, and in Egypt, it was $5,547, as measured in 2005 purchasing power parity U.S. dollars.
It is accurate to say that the income level in Singapore is higher / lower than in Egypt. Why is this comparison accurate?
a. There are significant differences in incomes between high- and low-income countries.
b. Egypt is characterized by a higher share of industrial production in total output than Singapore is.
c. Singapore is characterized by a larger share of household production in total output than Egypt is.
d. Egypt is characterized by a larger share of household production in total output than Singapore is.
Answer:
a. There are significant differences in incomes between high- and low-income countries.
Explanation:
Data provided in the question
Per person GDP in Singapore = $53,591
Per person GDP in Egypt = $5,547
Based on the above information
As we can see that the level of income in Singapore is higher than Egypt also when there is an important difference in the high income and low income countries the same is shown accurately
hence, the correct option is a.
11. Garth Corporation sells a single product. If the selling price per unit and the variable expense per unit both increase by 10% and fixed expenses do not change, then: A. profit will go up 10% B. profit will go up more than 10% C. profit will go down by less than 10% D. profit will not change
Answer:
D
Explanation:
Profit = Revenue - cost
Cost = fixed cost + variable cost
if variable cost increases by 10%, cost would increase by 10%.
Revenue also increases by 10%
So, the increase in revenue would be cancelled by the increase in cost and profit would not change
Which financial strategy would you choose to mitigate risk exposure? In your own words, present an example using XYZ company
Answer:
Creating an Insurance fund
Explanation:
An Insurance fund could a very good financial strategy to mitigate risk exposure.
For example, XYZ company is an bank that has over 500, 000 customer base throughout the country. XYZ company has forseen possible financial loses resulting from theft and economic downturn in the future. A safe practice would be to allocate a portion of it's profit– either quarterly or annual profit to an Insurance fund which would mitigate the company from possible financial risks resulting from theft or economic vices.
This financial strategy has proven to be successful in real life in mitigating a company from exposure to risk.
TB MC Qu. 8-119 Bramble Corporation is a small wholesaler ...
Bramble Corporation is a small wholesaler of gourmet food products. Data regarding the store's operations follow:
Sales are budgeted at $310,000 for November, $290,000 for December, and $280,000 for January.
Collections are expected to be 60% in the month of sale and 40% in the month following the sale.
The cost of goods sold is 65% of sales.
The company would like to maintain ending merchandise inventories equal to 55% of the next month's cost of goods sold. Payment for merchandise is made in the month following the purchase.
Other monthly expenses to be paid in cash are $23,700.
Monthly depreciation is $ 14,700.
Ignore taxes.
Balance Sheet
October 31
Assets
Cash $ 21,500
Accounts receivable 71,500
Merchandise inventory 110,825
Property, plant and equipment, net of 1,095,500
$573,500 accumulated depreciation
Total assets $ 1,299,325
Liabilities and Stockholders' Equity
Accounts payable $ 255,500
Common stock 821,500
Retained earnings 222,325
Total liabilities and stockholders' equity $ 1,299,325
The cost of December merchandise purchases would be:_________.
Answer:
The cost of December merchandise purchases would be $184,825
Explanation:
budgeted sales December $290,000
cost of goods sold 65% of sales revenue = $290,000 x 65% = $188,500
+ desired ending inventory = $280,000 x 65% x 55% = $100,000
total goods required = $288,500
- beginning inventory = $290,000 x 65% x 55% = $103,675
total merchandise purchases = $184,825
You own a portfolio that has a total value of $145,000 and a beta of 1.31. You have another $58,000 to invest and you would like the beta of your portfolio to decrease to 1.19. What does the beta of the new investment have to be in order to accomplish this
Answer: 0.89
Explanation:
The total portfolio beta is a weighted average of the constituent security betas.
145,000 + 58,000 = $203,000
The total portfolio beta of 203,000 should have a beta of 1.19.
Proportion of New investment = 58,000/203,000
= 28.57%
Proportion of old portfolio = 145,000/203,000
= 71.43%
(0.7143 * 1.31) + (0.2857 * x) = 1.19
0.9357 + 0.2857x = 1.19
0.2857x = 0.2543
x= 0.89
Delta Lighting has 30,000 shares of common stock outstanding at a market price of $15 a share. This stock was originally issued at $31 per share. The firm also has a bond issue outstanding with a total face value of $280,000 which is currently selling for 82 percent of par. The cost of equity is 14 percent while the after-tax cost of debt is 6.8 percent. The firm has a beta of 1.48 and a tax rate of 30 percent. What is the weighted average cost of capital?
Answer:
the weighted average cost of capital is 11.57 % .
Explanation:
Market Value of Equity = Number of Common Shares Outstanding × Market Price per share
= 30,000 shares × $15
= $450,000
Market Value of Debt = Face Value × 82%
= $280,000 × 82%
= $229,600
WACC = Ke × (E/V) + Kd × (E/V)
= 14.00 % × ($450,000/ $679,600) + 6.80 % × ($229,600/ $679,600)
= 9.27 % + 2.30 %
= 11.57 %
Horton Corporation is preparing a bank reconciliation and has identified the following potential reconciling items. Indicate how each would be reported on a bank reconciliation.a. Deposit in transit $5,500. b. Bank service charges $25. c. Interest credited to Horton’s account $31. d. Outstanding checks $7,422. e. NSF check returned $377.
Answer:
a. Deposit in transit $5,500.
This is added to the balance on the bank statement because it has already been added to the books of the company but it is yet to be processed by the bank.
b. Bank service charges $25.
Deducted from the book balance because the bank has already deducted this charge from the company's bank account so the company needs to do the same in its books.
c. Interest credited to Horton’s account $31.
Added to the book balance because this is interest earned on the account from the bank. The bank has therefore already added it to the company's bank account and so the company needs to add it to their books.
d. Outstanding checks $7,422.
Deducted from the balance on the bank statement because the company issued a check from their account but it has not be debited from the bank account yet but has been recorded in the books.
e. NSF check returned $377.
Deducted from the book balance.
You are the production head and you decide to introduce a new product in your production line. Market survey reveals that price of identical products in market is Rs. 40/unit and you decide to adopt that price. Cost survey shows that firm has to invest Rs. 620 as fixed cost to introduce the new product and variable cost are as follows; Output VC 0 00 100 280 200 480 300 640 400 820 500 1040 600 1300 700 1620 800 2020 900 2620 1000 3420
Answer:
the following table shows the profits generated by each output quantity, assuming selling price is Rs40. Since marginal costs of production are lower than selling price, the more you sell, the higher your profit. Profit is maximized at 1,000 units = Rs35,960
Explanation:
output variable costs fixed costs total revenue profits
0 00 620 0 (620)
100 280 620 4,000 3,100
200 480 620 8,000 6,900
300 640 620 12,000 10,740
400 820 620 16,000 14,560
500 1,040 620 20,000 18,340
600 1,300 620 24,000 22,080
700 1,620 620 28,000 25,760
800 2,020 620 32,000 29,360
900 2,620 620 36,000 32,760
1000 3,420 620 40,000 35,960
Delta Corporation has a higher times interest earned ratio than Gamma Corporation. From this information, we can assume that Delta is relatively better able to meet its interest payments.
a. True
b. False
Answer: True
Explanation:
The times interest earned ratio indicates how a company will be able to meet its debts obligations which is based on the current income of the company.
Since Delta Corporation has a higher times interest earned ratio than Gamma Corporation, it means that Delta is relatively better able to meet its interest payments.
Delta in its effective terms means the measurement of the rate of change in the premium whereas the gamma is meant as the measure of the movement of the risk. Delta is linked with the ranges of 0 and 1 and gamma is linked with the range of long and short-run in the market.
The correct answer is True
The time's interest earned ratio indicates how a company will be able to meet its debts obligations which are based on the current income of the company.
Since Delta Corporation has a higher times interest earned ratio than Gamma Corporation, it means that Delta is relatively better able to meet its interest payments.
To know more about the delta and gamma, refer to the link below:
https://brainly.com/question/3645138
Concert Hall sells season tickets for six events at a price of $78. In pricing the tickets, the planners assigned the leadoff event a value of $23 because the program was an expensive symphony orchestra. The last five events were priced equally; 1,470 season tickets were sold for the 2013 season. Required: a. Calculate the theater's earned revenue after the first three events have been presented.
Answer: $66,150
Explanation:
The leadoff event is priced at $23 out of the $78 and the rest of the 5 events will be priced equally.
This means that after the first event, the other 5 will cumulatively be valued at;
= (78 - 23)/5
= $11
The other events are priced at $11 each.
For the first 3 events therefore;
First event = $23 and the other 2 events are $11 each;
= 23 + 11 + 11
= $45
Tickets sold are 1,470;
Revenue from first 3 = 45 * 1,470
= $66,150
You short-sell 200 shares of Tuckerton Trading Co., now selling for $50 per share. What is your maximum possible loss
Answer:
Unlimited
Explanation:
GIven that:
You short-sell 200 shares of Tuckerton Trading Co
now selling for $50 per share.
If a short-sell occurs on a trade, the lower the share price, the higher the profit your are liable to achieve but if short-sell occurs and the share price is higher, then the more loss you're going to accumulate.
From the question, the lowest possible share price is zero and the highest possible share price is infinity since there is no stop loss.
∴
The maximum possible loss = 200 × 50( 1 - infinity share price)
= Unlimited loss
After watching both videos above, explain the importance of understanding intercultural communication. Identify the role that context plays in communication, and include references to high-context and low-context cultures.
Answer:
Intercultural communication is important as it helps in cross culture communication process. It helps in the process where different people belonging to different cultures communicate together on one platform. The communication can be verbal or non verbal among the people who belong to different cultural backgrounds.
Explanation:
High context communication is one in which communication is in such a way that relies heavily on non verbal language and emphasis the cultural values. Low context cultures communication is when people communicate in direct and precise manner. They rely heavily on verbal communication.
Importance of understating communication.
The aspects of communication can be identified by the role-playing of the communication in the case of the high and lower context cultures is done process various cultures and social groups.
Thus answer is intercultural platform helps to explain the value and morals.
The high context culture is found in group and usually relationship people. Here the well-being of the group is considered. While the low content culture is found in the western part of that world here the individualist and communication information in a direct and precise way.This shows us the difference in the ways people adjust to one another's cultural values.Learn more about the importance of understanding.
brainly.com/question/12690189.
Employees who are not a target of sexual harassment but work where it is occurring can file what type of lawsuit
Answer: Third-party lawsuit
Explanation:
A third party lawsuit is a form of lawsuit which is brought against another individual or another party in regards to the injuries which are being suffered by the plaintiff.
A third party lawsuit can be filed by the employees who are not a target of sexual harassment but work where it is occurring.
Standard costs are used in companies for a variety of reasons. Which of the following is NOT one of the benefits of using standard costs?
a. to indicate where changes in technology and machinery need to be made
b. to estimate the cost of inventory
c. to plan direct materials, direct labor, and variable factory overhead
d. to control costs
Answer:
a. to indicate where changes in technology and machinery need to be made.
Explanation:
Standard cost in business management refers to the amount of money a product is supposed to cost in manufacturing it. It is a management tool that can be used to measure efficiency in the level of output or production of goods and services at a specific period of time.
In Financial accounting, the difference between the actual cost of each unit of a product and its standard cost is referred to as variance. In order to determine the standard cost of a product, the expected quantity of the product is multiplied by an expected price.
Standard costs are used in companies for a variety of reasons such as;
1. Standard costs are used to estimate the cost of inventory.
2. Standard costs are used to plan direct materials, direct labor, and variable factory overhead.
3. Standard costs are used to control costs.
However, standard costs cannot be used to indicate where changes in technology and machinery need to be made rather an actual cost should be used.
Additionally, the standard cost of each unit of a product manufactured in a business firm is categorized into two (2) and these are;
1. Price standard.
2. Quantity standard.
1. What are Regional Trading Blocs (RTBs)? Explain the 4 types of RTBs, making sure that the difference(s) between them is/are clearly stated as we move from one level to another. Discuss three (3) each of the advantages and disadvantages of the European Union to a named member country.
Answer:
Trading blocks are groups of countries who form trade agreements between themselves. Trading blocks can include
Free trade areas – elimination of tariffs between economies in the trading block
Customs union – free trade area + a common external tariff with non-members
Economic union/Single market – Customs union + common rules and regulations.
Different types of trading blocks
free-trade-customs-union
Trading blocks have become increasingly influential for world trade.
They have advantages in enabling free trade between geographically close countries. This can lead to lower prices, increased export potential, higher growth, economies of scale and greater competition.
However, it can lead to compromise as countries pool economic sovereignty. Also, the move to free trade tends to create winners and losers – with some domestic industries losing out to lower-cost imports.
Examples of Global trading blocks
Free_Trade_Areas
Free trade areas
European Union – The most integrated trading block. The EU27 have free trade and common regulations and are part of a customs union.
NAFTA – North Atlantic Free Trade Association. A free trade area between Canada, US and Mexico
ASEAN Free Trade Area Free trade area in South East Asia founded 1992. Includes: Brunei, Indonesia, Malaysia, Philippines, Singapore and Thailand, Vietnam, Laos, Myanmar and Cambodia.
SAFTA South Asia free trade area based around the Indian sub-continent. Includes Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan and Sri Lanka.
Mercosur – a southern American trading block formed in 1991. Includes full members of Argentina, Brazil, Paraguay and Uruguay. With associate members including Bolivia, Chile, Colombia, Ecuador. Developed from free trade area to become customs union.
African Union 55 countries of the continent of Africa. Created to forge closer political and economic ties. It has aspirations to become a free trade area.
Difference between free trade area and customs union
A customs union has a common external tariff on imports. This means that it doesn’t matter which country the imports enter – because all countries have the same import tariff. This means there doesn’t need to be internal checking on ‘Rules of origin‘. For example, if imports from Africa enter Spain then if goods travel across the border from Spain to France, there is no need to check whether goods are paying the correct import tariff – because the import tariffs are all the same.
A disadvantage of joining a customs union is that a country is not able to pursue its own independent trade deals. However, since trade deals are complicated and take several years, there is an advantage to negotiating trade deals as part of a regional trade block – rather than separate individual countries.
Advantages of trading blocks
Tariff removal leads to trade creation – lower prices for consumers and greater opportunity for exporters.
Increased trade enables increased specialisation – which gives benefits of economies of scale (lower average costs from increased output)
gravity-theory
Catch-up effects. Countries joining a rich trading block can benefit from inward investment and increased trade opportunities. Countries in Eastern Europe have made considerable progress in catching up with average income levels in Western Europe.
Gravity theory of trade suggests that trade with countries in close proximity is the most important due to lower transport and similar cultural and economic ties.
Gives small countries a greater say in global trade agreements
Increased competition. The removal of tariffs creates greater choice for consumers. Therefore domestic firms have a greater incentive to cut costs to remain competitive.
Disadvantages of trading blocks
Joining a customs union may lead to increased import tariffs – which leads to trade diversion. For example, when the UK joined the EEC customs union, it required higher import tariffs on imports from former Commonwealth countries. This led to switch in demand towards higher-cost European countries and caused loss of business for Commonwealth countries
Increased interdependence on economic performance in other countries in trading block. If Eurozone goes into recession, it will affect all countries in the Eurozone. However, this is almost inevitable even if countries are not formally in a trading block due to a close relationship between trade cycles in different countries.
As the athletic shoe buyer for Sports Authority, how would you go about forecasting sales for a new Nike running shoe?
Answer:
The answer is below
Explanation:
I would go about forecasting sales for a new Nike running shoe in the following ways:
1. Check past sales history: Examining Nike's sales history to check and differentiate which items have high sales well and those items that didn’t. This will help anticipate and forecast sales for the new Nike running shoe by putting it side by side with a similar product.
2. Conduct detailed market research: This is vital to predicting prospective sales in order to determine if the shoes will sell satisfactorily.
Making research to infer specifically the products, consumers wants will give Nike a current idea of what is in vogue. Thus, by conducting detailed research and discovering what their consumers prefer and disfavor, they will have the ability to predict sales for a new item.
A stock has a beta of 1.15 and a reward-to-risk ratio of 6.15 percent. If the risk-free rate is 3 percent, what is the stock's expected return
Answer:
10.07%
Explanation:
According to CAPM
the stock's expected return = risk free rate + (beta x reward-to-risk ratio )
3% + (6.15% x 1.15) = 10.07%
At an annual effective interest rate of 6.3%, an annuity immediate with 4N level annual payments of 1,000 has a present value of 14,113. Determine the fraction of the total present value represented by the first set of N payments and the third set of N payments combined.
Answer:
the % of the present value that corresponds to the first 9 payments (N) = 47.57% of the annuity's present value.
the % of the present value that corresponds to the first 27 payments (3N) = 90.86% of the annuity's present value.
Explanation:
we must use the present value of an annuity formula:
PV = annual payment x annuity factor
14,113 = 1,000 x annuity factor
annuity factor = 14,113 / 1,000 = 14.133
we know that the interest rate is 6.3%, now using an annuity calculator we can determine that the total number of periods is 36. The exact factor is 14.11322, but we can round to 14.113
the first set would represent 36/4 = 9 years
the % of the present value that corresponds to the first 9 payments (N) = PV = 1,000 x 6.71376 (PV annuity factor, 6.3%, 9 periods) = 6,713.76. This corresponds to 6,713.76 / 14,113 = 47.57% of the annuity's present value.
the % of the present value that corresponds to the first 27 payments (3N) = PV = 1,000 x 12.82329 (PV annuity factor, 6.3%, 27 periods) = 12,823.29. This corresponds to 12,823.29 / 14,113 = 90.86% of the annuity's present value.
