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Lyrx [107]
3 years ago
10

Even though most corporate bonds in the United States make coupon payments semiannually, bonds issued elsewhere often have annua

l coupon payments. Suppose a German company issues a bond with a par value of €1,000, 23 years to maturity, and a coupon rate of 3.8 percent paid annually. If the yield to maturity is 4.7 percent, what is the current price of the bond? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Business
1 answer:
krok68 [10]3 years ago
8 0

Answer:

Bond Price = 875.0948 euro rounded off to 875.09 euro

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 an annual bond, the coupon payment, number of periods and semi annual YTM will be,

Coupon Payment (C) = 1000 * 0.038 = 38 euro

Total periods (n)= 23

r or YTM = 0.047 or 4.7%

The formula to calculate the price of the bonds today is attached.

Bond Price = 38 * [( 1 - (1+0.047)^-23) / 0.047]  +  1000 / (1+0.047)^23

Bond Price = 875.0948 euro rounded off to 875.09 euro

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Sky Inc. acquired a piece of machinery on July 1, 2019 and gave a noninterest-bearing note in exchange for the machinery. Sky mu
DiKsa [7]

Answer: 10%

Explanation:

Since the interest from July 1, 2019 to December 31, 2019 is given as $30,000. The interest for the remaining 3 months to March 31, 2020 will be:

= $30,000/2 = $15,000.

Total interest = $30000 + $15000

= $45000

Total amount to be paid by Sky = $645,000

Amount to be paid without interest = $645000 - $45000

= $600,000

We then calculate the interest rate for 9 months from March to December. This will be:

= ($45,000 × 100) = $600,000 × R × 3/4

= $4,500,000 = $600,000 × 0.75 × R

= $4,500,000 = $450,000 ×R

Interest rate = $4,500,000/$450,000

Interest rate = 10%

The imputed annual interest rate is 10%

5 0
3 years ago
Fix-It Co. wishes to maintain a growth rate of 9.89 percent a year, a constant debt-equity ratio of .42, and a dividend payout r
Olin [163]

Answer:

5.43%

Explanation:

Using du point formula for return on equity formula, the profit margin can be computed by rearranging the formula to make profit margin the subject.

return on equity=profit margin*assets turnover*leverage ratio

return on equity=growth rate*(1-dividend payout ratio)=9.89%*(1-40%)=5.93%

assets turnover=sales/total assets=inverse of total assets to sales=1/1.3

leverage ratio=total assets/equity

debt-equity ratio=0.42( debt is 0.42 while equity is 1 i.e 0.42/1=0.42)

total assets=debt+equity=0.42+1=1.42

equity is 1

5.93%=profit margin*1/1.3*1.42/1

5.93%=profit margin*1.092307692

profit margin=5.93%/1.092307692

profit margin=5.43%

5 0
3 years ago
A company's marginal revenue function is MR=150−8x1/3, where x is the number of units. Find the revenue function. (Evaluate C so
N76 [4]

Answer:

R(x) = 150x - 6x^{4/3}

Explanation:

Marginal Revenue function = 150 - 12x^{1/3}

Revenue function = \int\limits^a_b {150 - 8x^1/3} \, dx

R(x) = 150x - 8*(x^1/3+1) / (1/3 + 1) + c

R(x) = 150x - 8*3/4x^4/3 + c

R(x) = 150x - 6x^4/3 + c

Given R(o) = 0

R(o) = 0 = O + C --- C = O

R(x) = 150x - 6x^{4/3}

6 0
4 years ago
6.) If your company has a large production-related task, such as assembling an airplane, what strategy could help you increase p
NeTakaya

6).Option A.<em> </em><u><em>Division of labor</em></u>

Division of labor is defined as the allocation of various parts of a manufacturing process assigned to different people in order to increase the efficiency. Furthermore, distributing a job or task into many technical parts, among a single or few number of workers assigned to every part. <u>In mass production division of labor plays a significant role.</u> Division of labor is simply the division of tasks in , e.g, in a manufacturing plant. Each and every worker perform a certain duty. Which in results boosts efficiency and productivity.

7). Option B. <em><u>A paper cutting machine</u></em>

There are two types of costs namely variable costs and fixed costs. Fixed costs are the costs which are fixed an cannot be decreased or cut down in the short term. Fixed costs usually includes bill payments, physical structure of a company, rent, and machinery (in this case paper cutting machine). Variable costs are the costs which can be increased or decreased in the short term for example, labor and inputs. In case if a company is in financial loss situation or poor financial circumstances, the company can reduced their staff (labor) but the fixed costs cannot be cut down such as rent of the building or bills and most importantly machinery.

8). Option C. <u><em>Form Utility</em></u>

Form utility refers to the certain product or service that a company offers to its potential customers or clients. The value seen by a consumer or customer in the finished product is called Form utilities. The company emphasize on the increase in form utility by making of a product available for the final consumption on a way so that it is more beneficial for the customer in this form, rather than the materials in the raw form used to produce it.

9). Option B. <em><u>Depreciation</u></em>

Depreciation is defined as the monetary value of an asset reduced or decreased over the time due to its use, its wear and tear, and its obsolescence. Such as Machinery ( cars , machines), equipment (electronic devices, cell phones), currency. For example, when a new model of a car is launched the previous model loses part of it value or this could happen due to the use (wear and tear) or deterioration.

10). Option B. <u><em>Paint</em></u>

The cost f goods and services are the costs that must be included into the account of the costs of giving the services or making the products. In this case paint is the direct cost of goods and services for the company that paints houses. On the other hand flyers falls in the promotion costs. Whereas the van and the fuel used for commute are variable costs.

11). Option A. <u><em>Fewer workers will be needed</em></u>

In this case the increase in the productivity means increase in the production per worker. Like if the productivity increases definitely workers  will become more productive which results in the production of more goods produced per worker and if the demand is in elastic or not very elastic (as in  this case). Which means that the demand is not sensitive to the reduced or falling prices of goods then the definitely less or fewer workers will be needed to produce and supply the same amount of product.

12). Option B. <em><u>Labor</u></em>

The Law of diminishing returns could be applied to the three factors of production i.e. Land, Labor, and Capital, but it is commonly used to analyze the amount of production that will be attained by the adding additional unit of labor. Generally an additional unit of labor tend to produce diminishing levels of output for example, a worker will be able to produce 30 units per day, while on the other hand extra worker will produce only 27 units per day.

13). Option B. <em><u>Providing a delivery service</u></em>

Providing a delivery service is a way to increase possession utility for refrigerator. By making an increase in the possession in the way to ensure that you have the refrigerator or any other product that you are purchasing. Possession utility is the value which customers gets while buying a product. Possession is referred as the physical access of a product what a customer has purchased.

14). Option B. <u><em>A company that makes many sales</em></u>

Economies of scale is referred as where large organizations have the advantage over the small organizations. Which means the larger the organization selling and producing more products, the lower the cost compared to the small organizations. So an organization which makes larger sales has the cost advantages that the company will exploit by expanding their production size.

15). Option D. <em><u>By the amount a consumer is willing to pay for it</u></em>

The value of a product is calculated by the ratio of its quality to its price and Prices of products are determined by supply and demand. The greater the value of product, the better will be its position among competitors. Thus either increasing the quality or reducing the price of certain product will increase the chance that the consumer will select that product than the competing product.  So the value of the product is determined by the amount a consumer is willing to pay for it.  

4 0
4 years ago
Deep Mines has 43,800 shares of common stock outstanding with a beta of 1.54 and a market price of $51 a share. There are 10,000
Zanzabum

Solution:

MV of equity=Price of equity*number of shares outstanding

MV of equity=51*43800

                    =2233800

MV of Bond=Par value*bonds outstanding*%age of par

MV of Bond=1000*5000*0.96

                   =4800000

MV of Preferred equity=Price*number of shares outstanding

MV of Preferred equity=83*10000

                                    =830000

MV of firm = MV of Equity + MV of Bond+ MV of Preferred equity

                 =2233800+4800000+830000

                 =7863800

Weight of equity = MV of Equity/MV of firm

Weight of equity = 2233800/7863800

W(E)=0.2841

Weight of debt = MV of Bond/MV of firm

Weight of debt = 4800000/7863800

W(D)=0.6104

Weight of preferred equity = MV of preferred equity/MV of firm

Weight of preferred equity = 830000/7863800

W(PE)=0.1055

Cost of equity

As per CAPM  , Cost of equity = risk-free rate + beta * (Market risk premium)

                       Cost of equity % = 3.6 + 1.54 * (7.5)

                       Cost of equity % = 15.15

Cost of debt

                K = Nx2

Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2

                  k=1

                 K =13x2

960 =∑ [(8*1000/200)/(1 + YTM/200)^k]     +   1000/(1 + YTM/200)^13x2

                  k=1

YTM = 8.5146699304

After tax cost of debt = cost of debt*(1-tax rate)

After tax cost of debt = 8.5146699304*(1-0.21)

                                   = 6.726589245016

cost of preferred equity

cost of preferred equity = Preferred dividend/price*100

cost of preferred equity = 7/(83)*100

                                       =8.43

WACC=after tax cost of debt*W(D)+cost of equity*W(E)+Cost of preferred equity*W(PE)

WACC=6.73*0.6104+15.15*0.2841+8.43*0.1055

WACC =9.3%

5 0
4 years ago
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