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Tpy6a [65]
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, 25 years to maturity, and a coupon rate of 7.5 percent paid annually.
If the yield to maturity is 8.6 percent, what is the current price of the bond? (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))
Business
1 answer:
Veseljchak [2.6K]3 years ago
6 0

Answer:

Bond price=$888.35

Explanation:

<em>The value of the bond is the present value (PV) of the future cash receipts expected from the bond. The value is equal to present values of interest payment plus the redemption value (RV) discounted at the yield rate</em>

<em>Value of Bond = PV of interest + PV of RV</em>

The value of bond for Local School District can be worked out as follows:

Step 1

PV of interest payments

PV = A × (1+r)^(-n)/r

A-annul interest payment:

= 7.5% × 1,000× = 75

r-Annual yield = 8.6%

n-Maturity period = 25  

PV of interest payment:

=75× (1- (1+0.086)^(-25)/0.086)

= 761.22

Step 2

<em>PV of Redemption Value</em>

= 1000 × (1.017)^(-25)

= $127.131

Step 3

<em>Price of bond</em>

=761.222 + 127.13

=$888.35

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Sales revenue $350,000 Accounts receivable $280,000 Ending inventory $230,000 Cost of goods sold $180,000 Sales returns $50,000
sesenic [268]

Answer:

$100,000

Explanation:

The computation of gross profit is shown below:-

Gross profit = (Sales revenue - Sales return - Sales discount) - Cost of goods sold

= ($350,000 - $50,000 - $20,000) - $180,000

= $280,000 - $180,000

= $100,000

Therefore we simply applied the above formula for determining the gross profit

4 0
3 years ago
Suppose that the market demand curve for bean sprouts is given by P = 1,660 - 4Q, where P is the price and Q is total industry o
a_sh-v [17]

Answer:

In equilibrium, total output by the two firms will be option e= 300.  

Q = q_{1} + q_{2}

Q = 100 + 200

Q = 300

Explanation:

Data Given:

Market Demand Curve = P = 1660-4Q

where, P = price and Q = total industry output

Each firm's marginal cost = $60 per unit of output

So, we know that Q =  q_{1} + q_{2}

where q_{} being the individual firm output.

Solution:

P = 1660-4Q

P = 1660- 4(q_{1} + q_{2})

P = 1660 - 4q_{1} - 4q_{2}

Including the marginal cost of firm 1 and multiplying the whole equation by q_{1}

Let's suppose new equation is X

X =  1660q_{1} - 4q_{1} ^{2} - 4q_{1}q_{2} - 60q_{1}

Taking the derivative w.r.t to q_{1}, we will get:

X^{'} = 1660 - 8q_{1} - 4q_{2} - 60 = 0

Making rearrangements into the equation:

8q_{1} + q_{2} = 1660 - 60

8q_{1} + q_{2} = 1600

Dividing the whole equation by 4

2q_{1} +q_{2} = 400

Solving for q_{1}

2q_{1} = 400 - q_{2}

q_{1} = 200 - 0.5 q_{2}  

Including the marginal cost of firm 1 and multiplying the whole equation by q_{2}

P = 1660 - 4q_{1} - 4q_{2}

Let's suppose new equation is Y

Y =  1660q_{2} - 4q_{1}q_{2} -4q_{2} ^{2} - 60q_{2}

Pugging in the value of q_{1}

Y =  1660q_{2} - 4q_{2}(200 - 0.5 q_{2}) -4q_{2} ^{2} - 60q_{2}

Y =  1660q_{2} - 800q_{2} +2q_{2} ^{2} -4q_{2} ^{2} - 60q_{2}

Y =  1600q_{2} - 800q_{2} -2q_{2} ^{2}

Taking the derivative w.r.t q_{2}

Y^{'} = 1600 - 800 - 4q_{2} = 0

Solving for q_{2}

4q_{2} = 800

q_{2} = 200

q_{1} = 200 - 0.5 q_{2}

Plugging in the value of q_{2} to get the value of q_{1}

q_{1} = 200 - 0.5 (200)

q_{1} = 200 - 100

q_{1} = 100

Q = q_{1} + q_{2}

Q = 100 + 200

Q = 300

Hence, in equilibrium, total output by the two firms will be option

e= 300.

5 0
3 years ago
"You’ve observed the following returns on Crash-n-Burn Computer’s stock over the past five years: 6 percent, –13 percent, 24 per
Vanyuwa [196]

Answer:

6.80%

Explanation:

The average nominal returns is the sum of the returns for 5 years divided by the number of returns considered( i.e 5, 5 returns for 5 years)

average nominal returns=(6%-13%+24%+18%+15%)/5

average nominal returns=10.00%

The Fisher's equation is shown thus:

(1 + i)  = (1 + r) (1 + π)

i=nominal return=10.00%

r=average real return=the unknown

π=inflation rate=3%

(1+10.00%)=(1+r)*(1+3%)

1.10=(1+r)*1.03

1+1=1.10/1.03

r=(1.10/1.03)-1

r=6.80%

7 0
2 years ago
When examining the​ person-job fit of someone who is high in​ extroversion, we might expect that people high in extroversion wou
Artist 52 [7]

Answer: Dependable on communication

Explanation:

An extrovert is a person who is at ease with communication, working in a company whose culture is effective communication will be a great fit.

7 0
3 years ago
The following information is provided for Sacks Company before closing entries. Cash $ 12,000 Supplies 4,500 Prepaid rent 2,000
RideAnS [48]

Answer:

b. $78,500

Explanation:

Assets

Equipment                       $65,000

Cash                                 $12,000

Supplies                           $4,500

Prepaid rent                     <u>$2,000</u>

Total Assets                     <u>$83,500</u>

Equity and Liabilities

Common stock                $68,000

Retained earnings           <u>$10,500</u>

Total Equity                      $78,500

Accounts payable            <u>$5,000</u>

Total Equity and Liability <u>$83,500</u>

*<u>Working</u>

Net Profit = Service revenue - Salaries Expenses - Miscellaneous expenses

Net Profit = $30,000 - $4,500 - $20,000 = $5,500

Total retained Earning = $8,000 + $5,500 - $3,000 = $10,500

5 0
3 years ago
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