Answer:
Budgeted amount of fixed cost for 20,000 units = $30,000
Explanation:
For 22,000 units, Budgeted fixed cost was $30,000
Thus, since fixed cost do not change in totality under ordinary circumstances, the same amount of fixed cost would be budgeted for 20,000 units as well
Based on the information given, the budgeted amount of fixed costs for 20,000 units would be $30,000.
What is a budget?A budget simply means a financial plan that is used by an individual, business organization or government to estimate the amount of revenue and expenditures over a specified period of time, and it is usually on an annual basis i.e one year.
In this scenario, the budgeted amount of fixed costs for 20,000 units would be equal to $30,000 because fixed cost remains the same and doesn't change under ordinary circumstances.
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Blue Cab Company had 69,000 shares of common stock outstanding on January 1, 2021. On April 1, 2021, the company issued 39,000 shares of common stock. The company had outstanding fully vested incentive stock options for 14,500 shares exercisable at $11 that had not been exercised by its executives. The end-of-year market price of common stock was $32 while the average price for the year was $31. The company reported net income in the amount of $364,915 for 2021. What is the diluted earnings per share (rounded)
Answer:
$3.38
Explanation:
The diluted earnings per share is calculated as;
First, we need to calculate the weighted average outstanding shares.
Weighted average outstanding share is
= Common shares + (Issued shares × 9/12[April - December] + [(Issued shares - Shares exercisable)
= 69,000 shares + (39,000 shares × 9/12) + ( 14,750* - 5,145*)
= 69,000 + 29,250 + 9,605
= 107,855
Therefore, the diluted earnings per share is;
= Net income / Weighted average outstanding shares
= $364,915 / 107,855
= $3.38
Note : (14,500 shares × 11) / 31
= 5,145
_____ is a method for determining the estimated annual costs and benefits for a project and the resulting annual cash flow.
Answer:
Cash flow analysis, is the right answer.
Explanation:
“Cash flow analysis” is the method that determined the actual cash that goes out of the business and the actual cash that comes in the business. Basically this method is used for financial purposes. This method exhibits the actual cost that the business has incurred and the actual benefit it has earned. Moreover, new investors that invest in the company primarily sees the financial report of the company and then take the decision to invest.
On January 1, 2021, Legion Company sold $270,000 of 4% ten-year bonds. Interest is payable semiannually on June 30 and December 31. The bonds were sold for $169,056, priced to yield 10%. Legion records interest at the effective rate. Legion should report bond interest expense for the six months ended June 30, 2021, in the amount of: (Round your answer to the nearest dollar amount.)
Answer:
Interest expense = $8453
Explanation:
We can calculate Bond interest expense by multiplying Carrying value of the bond with the effective interest rate and the period of time,
DATA
Carrying value of bond = $169,056
Effective interest rate = 10%
Period of time = 6 months
Interest expense =?
Calculation
Interest expense = Carrying value x Effective interest rate x Time period
Interest expense = $169,056 x 10% x [tex]\frac{6months}{12months}[/tex]
Interest expense = $8453
The company currently markets McDog T-bone, Lapdog Lunchtreats, Rover's Potroast, and Puppy Porterhouse in the dog food market. Prime Cuts will be an addition to the
Answer:
company's product line in the dog food market
Explanation:
In the description provided, it can be said that Prime Cuts will be an addition to the company's product line in the dog food market. A product line is a group of related products all marketed under a single brand name and are sold by the same company to the same targeted group of consumers. Such as in this scenario, all of the products listed are dog treats/food with different ingredients and are all sold by the same company to people looking for dog food.
A company purchased a tract of land for its natural resources at a cost of $1,500,000. It expects to mine 2,000,000 tons of ore from this land. The salvage value of the land is expected to be $250,000. If 150,000 tons of ore are mined during the first year, the journal entry to record the depletion is:_______.
a. Debit Depletion Expense $93,750; credit Natural Resources $93,750.
b. Debit Cash $112,500; credit Natural Resources $112,500.
c. Debit Depletion Expense $93,750; credit Accumulated Depletion $93,750.
d. Debit Cash $93,750; credit Accumulated Depletion $93,750.
e. Debit Depletion Expense $112,500; credit Accumulated Depletion $112,500.
Answer:
Option c is the correct answer.
Explanation:
The depletion expense or charge for the period can be calculated using the following formula,
Depletion expense = [(Cost - Salvage Value) / Total units expected to be mined] * Units mined during the period
Depletion expense = [(1500000 - 250000) / 2000000] * 150000
Depletion expense = $93750
The entry to record the expense is,
Depletion expense 93750 Dr
Accumulated depletion 93750 Cr
So, option c is the correct answer.
Lance contributed investment property worth $507,500, purchased Five years ago for $312,500 cash, to Cloud Peak LLC in exchange for an 70 percent profits and capital interest in the LLC. Cloud Peak owes $380,000 to its suppliers but has no other debts.
Required information
A. What is Lance’s tax basis in his LLC interest?
B. What is Lance’s holding period in his interest?
C. What is Cloud Peak’s basis in the contributed property?
D. What is Cloud Peak’s holding period in the contributed property?
Answer:
a. Lance's Tax basis in his LLC interest
= Basis of investment property + Shares in LLC debt
= $312,500 + ($380,000 * 70%)
= $312,500 + $266,000
= $578,500
Therefore, LLC common debt obligation treated as non-recourse debt, lance income allocation ratio is used to allocate a share of LLC debt to him
b. Lance holding period in his interest is 5 years. The holding period of the contributed assets "tacks onto" his partnership interest because Lance contributed a capital asset
c. Cloud Peak's basis in the contributed property is $312,500. Also, the carryover basis would be taken by the LLC in the contributed property
d. Cloud's Peak holding period in the contributed property is 3 years
Where can you go in the Banking Center to review downloaded bank feed transactions that have already been matched to existing transactions in QuickBooks Online?a. For Review tabb. Reviewed tabc. Recognized tab d. Excluded tab
Answer:
Where can you go in the Banking Center to review downloaded bank feed transactions that have already been matched to existing transactions in QuickBooks Online?
a. For Reviewed tab
Explanation:
In QuickBooks online, you have the Reviewed tab where you can download at least the last 90 days of transactions, made with your bank or credit card. QuickBooks is also able to categorize all the downloaded transactions you have done. In the reviewed tab you can find all the accepted bank transactions.
Why must corporate managers use multiple techniques of project evaluation? Which technique is most commonly used and why? Describe several ways you may be able to use the techniques above as you progress in your professional career.
Answer:
The most important technique for project evaluation is the net present value (NPV) which compares the present value of discounted cash flows against the initial costs associated with the project. The other two most important techniques used are the payback period (either regular or discounted) and the internal rate of return (IRR).
Depending on the company's needs, sometimes one technique might be used instead of others. E.g. technological firms generally use the payback period because most of their projects have a very short life, 1 or 2 years. Other times, you might have to compare different projects and even if they are not mutually exclusive, no company can dispose of money freely. It only invests in certain projects that have a minimum required rate of return.
But the basic technique, the NPV, is the most relevant in a sense that no project with a negative NPV should be accepted.
Sea Blue manufactures flotation vests in Charleston, South Carolina. Sea Blue's contribution margin income statement for the month ended December 31, 2018, contains the following data:
Sea Blue
Income Statement
For the Month Ended December 31, 2018
Sales in Units 32,000
Net Sales Revenue $608,000
Variable Costs:
Manufacturing 96,000
Selling and Administrative 108,000
Total Variable Costs 204,000
Contribution Margin 404,000
Fixed Costs:
Manufacturing 124,000
Selling and Administrative 94,000
Total Fixed Costs 218,000
Operating Income $186,000
Suppose Overboard wishes to buy 4,600 vests from Sea Blue. Sea Blue will not incur any variable selling and administrative expenses on the special order. The Sea Blue plant has enough unused capacity to manufacture the additional vests. Overboard has offered $15 per vest, which is below the normal sales price of $19.
1. Identify each cost in the income statement as either relevant or irrelevant to Sea Blue's decision.
a. Variable Manufacturing Costs
b. Variable Selling and Administrative Costs
c. Fixed Manufacturing Costs
d. Fixed Selling and Administrative Costs
2. Prepare a differential analysis to determine whether Sea Blue should accept this special sales order.
3. Identify long-term factors Sea Blue should consider in deciding whether to accept the special sales order. In addition to determining the special order's effect on operating profits, Sea Blue's managers also should consider the following:
A. Will Sea Blue's other customers find out about the lower sale price Sea Blue accepted from Overboard? If so, will these other customers demand lower sale prices?
B. Will the special order customer come back again and again, asking for the same reduced price?
C. How will Sea Blue's competitors react? Will they retaliate by cutting their prices and starting a price war?
D. All of the above
E. None of the above
Answer:
1. Variable Cost
Manufacturing 96,000 ( Relevent )
Selling and administrative 108,000 ( Irrelevent )
Fixed Cost
Manufacturing 124,000 ( Irrelevent )
Selling and administrative 94,000 (Irrelevent )
2. $55,200
3. A. If the regular customer found out about this order and will demand a lower price?
B. Will this order customer come back again and again asking the same reducted price?
C. Will this order price will start a price war with the competitors?
Explanation:
1. Calculation to Identify each cost in the income statement as either relevant or irrelevant to Sea Blue's decision.
Variable Cost
Manufacturing 96,000 ( Relevent )
Selling and administrative 108,000 ( Irrelevent )
Fixed Cost
Manufacturing 124,000 ( Irrelevent )
Selling and administrative 94,000 (Irrelevent )
2. Preparation of a differential analysis to determine whether Sea Blue should accept this special sales order.
Differential analysis
Expected increase in income in revenue
( 4,600 vest * $15 per vest ) 69,000
Less :Expected increase in Variable manufacturing
( 4,600 vest * $3 per vest) (13,800)
=$55,200
Variable manufacturing cost of $96,000 / divide by 32,000 units will give us $3
Based on the above calculation Sea blue should accept this order reason been that the order will increase their operating income by the amount of $55,200.
3. The manager of Sea blue should know that the sale might affect their regular sale in long run.
Therefore In addition to determining the special order's effect on operating profits, Sea Blue's managers also should consider:
A. If the regular customer found out about this order and will demand a lower price?
B. Will this order customer come back again and again asking the same reducted price?
C. Will this order price will start a price war with the competitors?
. Which of these statements is true about the field of organizational behavior? 1 point A. It examines how individuals and teams in organizations relate to one another and to their counterparts in other organizations. B OB researchers systematically study various topics at a common level rather than at multiple levels. C. Information technology has almost no effect on organizational behavior. D. The field of organizational behavior relies exclusively on ideas generated within the field by organizational behavior scholars. E. The origins of organizational behavior are traced mainly to the field of economics.
Answer:
A. It examines how individuals and teams in organizations relate to one another and to their counterparts in other organizations.
Explanation:
Organizational behavior examines how individuals and teams in organizations relate to one another and to their counterparts in other organizations.
An organizational behavior can be defined as the study of people's opinions, feelings, actions and how people perceive an organization.
This ultimately implies that, an organizational behavior is the study of people's opinions, feelings, actions and how people perceive an organization.
Basically, it measures how an organization relates with its external environments. This is very key to formulating policies, mission and achieving a successful long-term organizational goals and objectives.
Instead of a dividend of $1.60 per share, the company has announced a share repurchase of $16,000 worth of stock. How many shares will be outstanding after the repurchase?
Answer:
9,690 stocks
Explanation:
some information is missing:
Market Value Balance Sheet
Cash $45,300 Equity $515,300
Fixed assets $470,000
Total $515,300 Total $515,300
total number of shares outstanding = 10,000
stock's market price = $515,300 / 10,000 = $51.53
stocks repurchased = $16,000 / $51.53 = 310.50, but we must round down to 310 stocks
stocks outstanding after repurchase = 10,000 - 310 = 9,690
XARA is a newly emerging wine company. After extensive market research, XARA divides its market into wine enthusiasts, casual drinkers and restaurants. Each category has its own needs, traits and marketing goals. In this scenario, XARA has engaged in market _________.
Answer: segmentation
Explanation:
Market segmentation is when a business market that is made up of different customers is being divided, into smaller groups or segments based on some characteristics.
From the question, we are informed that XARA is a newly emerging wine company. After extensive market research, XARA divides its market into wine enthusiasts, casual drinkers and restaurants. Each category has its own needs, traits and marketing goals. In this scenario, XARA is using market segmentation.
Market research is a systematic attempt to acquire data about target markets and customers: learn everything you can about them, starting with their names. It is considered as the crucial part of business strategy.
XARA is a newly emerging wine company. After extensive market research, XARA divides its market into wine enthusiasts, casual drinkers and restaurants. Each category has its own needs, traits and marketing goals. In this scenario, XARA is using market segmentation.
Market segmentation is when a business market that is made up of different customers is being divided, into smaller groups or segments based on some characteristics.
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Prepare journal entries to record each of the following four separate issuances of stock. A corporation issued 10,000 shares of $20 par value common stock for $240,000 cash. A corporation issued 5,000 shares of no-par common stock to its promoters in exchange for their efforts, estimated to be worth $45,500. The stock has a $1 per share stated value. A corporation issued 5,000 shares of no-par common stock to its promoters in exchange for their efforts, estimated to be worth $45,500. The stock has no stated value. A corporation issued 2,500 shares of $50 par value preferred stock for $170,500 cash.
Answer:
1.
DR Cash.................................................$240,000
CR Common Stock................................................... $200,000
Paid in Excess of Par- Common Stock.....................$40,000
Working
Common Stock = $20 * 10,000 = $200,000
Paid in Excess of Par- Common Stock = 240,000 - 200,000 = $40,000
2.
DR Promotion Expenses................................$45,500
CR Common Stock.........................................................$5,000
Paid in Excess of Par- Common Stock ........................$40,500
Working
Common stock = 5,000 * 1 = $5,000
Paid in Excess of Par- Common Stock = 45,500 - 5,000 = $40,500
3
DR Promotion Expenses..........................$45,500
CR Common Stock....................................................$45,500
4
DR Cash ...................................................$170,500
CR Preferred Stock .....................................................$125,000
CR Paid in Excess of Par - Preferred Stock ..............$45,500
Working
Preferred Stock = 50 * 2,500 = $125,000
Paid in Excess of Par - Preferred Stock = 170,500 - 125,000 = $45,500
You consider undertaking the research project. It will increase sales by $100K per year starting next year and its life is 10 years. The maintenance cost is $50K and the depreciation of the equipment is 20K per year. The tax rate is 40% and there are no changes in net operating working capital. What is the annual operating cash flow from the project? A. $10,000 B. $18,000 C. $38,000 D. $30.000
Answer: C. $38,000
Explanation:
The Operating cashflow for a project will be the net income earned from it less any taxes but including depreciation.
In formula form;
Operating cash flow = EBIT - tax paid + depreciation
Earnings Before Interest and Tax
= Sales - Expenses
= 100,000 - 50,000 - 20,000
= $30,000
Tax paid
= EBT * 40%
= 30,000 * 40%
= $12,000
Operating cash flow = EBIT - tax paid + depreciation
= 30,000 - 12,000 + 20,000
= $38,000
Note; Depreciation is added back because it is a non-cash expense.
Consider a $1,000-par-value 20-year zero-coupon bond issued at a yield to maturity of 10%. If you buy that bond when it is issued and continue to hold the bond as yields decline to 9%, the imputed interest income for the first year of that bond is
Answer:
$14.87
Explanation:
Computation the imputed interest income for the first year of the bond
First step
Using this formula
Imputed interest income= Par value/(1+yield to maturity)^Numbers of years
Let plug in the formula
Imputed interest income$1,000/(1.10)^20
Imputed interest income= $1,000/6.72749
Imputed interest income=$148.64
Second step
Imputed interest income=$1,000/(1.10)^19= Imputed interest income=$1,000/6.11590
Imputed interest income=$163.51
Hence,
Imputed interest income=$163.51 - $148.64
Imputed interest income= $14.87
Therefore the imputed interest income for the first year of the bond will be $14.87
Currently Baldwin is paying a dividend of $1.10 (per share). If this dividend stayed the same, but the stock price rose by 10% what would be the dividend yield
Answer:
Dividend yield = 227.06%
Explanation:
Assuming the Closing stock market summary for Baldwin company is $44.05
Dividend yield = Dividend * 100 / (Price* (1 + growth rate) )
Dividend yield = 1.10 * 100 / (44.05 * (1+0.10) )
Dividend yield = 1.10 * 100 / (44.05 * 1.10)
Dividend yield = 110 / 48.455
Dividend yield = 2.2706
Dividend yield = 227.06%
On July 1, Shady Creek Resort borrowed $400,000 cash by signing a 10-year, 9% installment note requiring equal payments each June 30 of $62,328. What is the journal entry to record the first annual payment
Answer:
Journal Entry
Debit Credit
Interest Expense $36,000
Notes Payable $26,328
Cash $62,328
Workings
Interest portion for one year = 400,000 * 9% = $36,000
Total installment paid = $62,328
So, principal portion repaid = $62,328 - $36,000
= $26,328
A coworker of Connor's recommends that she maximize the shelf space devoted to those drinks with the highest contribution margin per case. Do you agree with this recommendation? Explain briefly.
Answer:
Yes
Explanation:
Ultimately I agree with the recommendation that has been given by Connor's coworker. By maximizing the shelf space specifically devoted to these drinks it will cause two things to happen. First, customers will mostly notice those drinks which will entice them to buy those drinks instead of the ones they cannot see. The second is that since customers are buying more of these drinks, the increase in sales will also increase profits, but since these items contribution margins are significantly higher than the others, it will cause profits to drastically increase.
In a production bottleneck situation, the product with the highest contribution margin per unit should be given priority over a product that has the highest contribution margin per bottleneck hour.
a. True
b. False
Answer:
b. false
Explanation:
A bottleneck is a point at which there is the stoppage in the system of production. The inefficiencies that are generated through the bottleneck developed the delays and leads to the high cost of production
Here in the given situation, since there is the highest contribution margin per unit that gives more priority as compared with the contribution margin per bottleneck hour i.e. totally wrong as it should give the priority to the contribution margin per bottleneck hour
Therefore the given statement is false
Which of the following statements is CORRECT? a. Commercial paper can be issued by virtually any firm so long as it is willing to pay the going interest rate. b. Short-term debt is favored by firms because, while it is generally more expensive than long-term debt, it exposes the borrowing firm to less risk than long-term debt. c. Commercial paper is a form of short-term financing that is primarily used by large, strong, financially stable companies. d. Trade credit is provided only to relatively large, strong firms. e. Commercial paper is typically offered at a long-term maturity of at least five years.
Answer: Commercial paper is a form of short-term financing that is primarily used by large, strong, financially stable companies.
Explanation:
Commercial papers a promissory notes which are issued by companies on a short term basis that are unsecured. It should be noted that that they are used by the strong, large, and financially stable companies.
Commercial paper are issued in order to finance payroll, and also meet a company's short-term liabilities.
You own a portfolio that has a total value of $235,000 and it is invested in Stock D with a beta of .82 and Stock E with a beta of 1.43. The beta of your portfolio is equal to the market beta. What is the dollar amount of your investment in Stock D?
Answer:
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Rahman stock just paid a dividend of $3.00 per share. Future dividends are expected to grow at a constant rate of 6% per year. What is the value of the stock if the required return is 12%
Answer:value of stock for the required return of 12 % = $53
Explanation:
Given
current dividend just paid = $3.00
dividend to grow at constant rate of 6%
required rate of return =12%
to calculate the value of stock for the requitred return of 12 % , we use the dividend growth model which is
Current price = dividend ( 1 + growth rate )/ (required rate -growth rate )
= 3 x (1+6%) / 12-6 = 3 x 1.06 /6% =3.18/0.06= $53
Therefore value of stock for the requitred return of 12 % ,= $53
Long-term debt ratio 0.3
Times interest earned 10.0
Current ratio 1.2
Quick ratio 1.0
Cash ratio 0.4
Inventory turnover 3.0
Average collection period 73 days
Use the above information from the tables to work out the following missing entries, and then calculate the company’s return on equity.
Net sales _____$
Cost of goods sold
Selling, general, and administrative expenses 20.00
Depreciation 30.00
Earnings before interest and taxes (EBIT) _____$
Interest expense
Income before tax _____$
Tax (35% of income before tax)
Net income _____$
A mother, aged 60, wishes to withdraw monies from her variable annuity to pay for her son's college education. Which statement is true regarding the taxation of the withdrawal?
A. The withdrawal is 100% taxable
B. Any amount withdrawn above the cost basis is taxable
C. Any amount withdrawn above the cost basis is taxable, and is subject to a 10% penalty tax
D. The withdrawal is not subject to tax
Answer:
Any amount withdrawn above the cost basis is taxable
Explanation:
This woman is above 59½ years at age 60. If she was least than 60, she would be owing a 10% penalty on the taxable amount of this withdrawal. But since she is above this age she has to pay income taxes on the whole taxable amount of the funds she withdrew. Variable annuities would never be taxed the money is withdrawn. Therefore option B is the best answer for This question.
Interviews are designed to determine if the employer feels a candidate is a good fit for the job. What benefit does an interview offer the job candidate
Explanation:
The job interview is a form of selection used by companies to select candidates for a job more effectively, because through it, the recruiter will meet the candidate in person, ask questions about issues related to his resume and his professional experiences , as well as the opportunity to analyze the way you communicate, your interests and your personality.
The advantage of the interview for the job candidate is to demonstrate your good intentions when occupying the job through an ethical, cordial posture and to have the opportunity to talk about some professional experiences that may be of interest to the employer and the company. It is also an opportunity for the candidate to clarify doubts about the responsibilities of the position and any other doubts related to the company or job function.
The operating margin measures tells you that for every dollar of sales XXXX dollars makes it to the net income line on the income statement.
A. True
B. False
Answer:
A. True
Explanation:
The Operating Margin is the profit obtained for every dollar of sale and this is the sames as saying a certain amount of sales makes it to the net income line on the income statement.
A manufacturing company has variable overhead costs of $2.50 per unit and fixed costs of $5,000 per month. Each unit requires 4 hours of direct labor and the company expects to produce 2,000 units each month. The standard overhead rate will be
Answer:
Standard Overhead rate is $1.25 per Direct labor hours
Explanation:
Total variable cost (2000 unit * $2.50) = $5,000
Total fixed cost = $5,000
Estimated Overhead cost = $10,000
Estimated Direct labor hour = 2000 unit * 4 hours = 8,000 hours
Standard Overhead rate = Estimated overhead cost / Estimated Direct labor hour
Standard Overhead rate = $10,000 / 8,000 hours
Standard Overhead rate = $1.25 per Direct labor hours
The direct labor budget of Yuvwell Corporation for the upcoming fiscal year contains the following details concerning budgeted direct labor-hours:
1st Quarter 2nd Quarter 3rd Quarter 4th Quarter
Budgeted direct labor-hours 11,000 9,700 10,000 10,800
The company uses direct labor-hours as its overhead allocation base. The variable portion of its predetermined manufacturing overhead rate is $5.75 per direct labor-hour and its total fixed manufacturing overhead is $78,000 per quarter. The only noncash item included in fixed manufacturing overhead is depreciation, which is $19,500 per quarter.
Required:
a. Prepare the company’s manufacturing overhead budget for the upcoming fiscal year.
b. Compute the company’s predetermined overhead rate (including both variable and fixed manufacturing overhead) for the upcoming fiscal year.
Answer:
Manufacturing Overhead Budget
Quarter 1st 2nd 3rd 4th
Variable Overheads $63,250 $55,775 $57,500 $62,100
Fixed Overheads $78,000 $78,000 $78,000 $78,000
Total Overheads $141,250 $133,775 $135,500 $140,100
Explanation:
When Preparing the Manufacturing Overhead Budget Note the following :
The Manufacturing Overheads Include Both Fixed and Variable Overheads.Be careful to absorb the Variable overheads cost at the direct labor-hour.Fixed Overheads can Include both cash and non-cash items.A customer redeems 1,000 shares of ABC Fund on Wednesday, June 14th. Under the provisions of the Investment Company Act of 1940, the customer must be paid the money no later than:
Answer:
Wednesday, June 21st
Explanation:
In this scenario, since the customer redeemed the shares on Wednesday, June 14th then he must be paid before Wednesday, June 21st. This is 7 days after the redemption. According to section 22 article (e) of the Investment Company Act of 1940, all companies are prevented from postponing the date of payment for more than seven days as stated below.
(e) No registered investment company shall suspend the right
of redemption, or postpone the date of payment or satisfaction upon
redemption of any redeemable security in accordance with its terms
for more than seven days after the tender of such security to the
company or its agent designated for that purpose for redemption
McConnel corporation has bonds on the market with 16.5 years to maturity, a YTM of 7.7 percent, a par value of 1000 and current price of 1065. The bonds make semiannual payment and have a par value of $1,000.Required:What must the coupon rate be on these bonds?
Answer:
Coupon rate = 0.08402 or 8.402%
Explanation:
To calculate the price of the bond, we need to first calculate the coupon payment per period. We assume that the interest rate provided is stated in annual terms. As the bond is a semi annual bond, the coupon payment, number of periods and semi annual YTM will be,
Coupon Payment (C) = x
Total periods (n)= 16.5 * 2 = 33
r or YTM = 7.7% * 1/2 = 3.85% or 0.0385
The formula to calculate the price of the bonds today is attached.
Using the bond price formula and the available values, we calculate the coupon rate to be,
1065 = x * [( 1 - (1+0.0385)^-33) / 0.0385] + 1000 / (1+0.0385)^33
1065 = x * (18.50739407) + 287.4653284
1065 - 287.4653284 = x * 18.50739407
777.5346716 / 18.50739407 = x
x = 42.012 rounded off to $42.01
If the semi annual coupon payment is $42.01, the annual coupon payment will be 42.01 * 2 = $84.02
The coupon rate on bonds is = 84.02 / 1000
Coupon rate = 0.08402 or 8.402%
