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SVETLANKA909090 [29]
2 years ago
3

Broke Benjamin Co. has a bond outstanding that makes semiannual payments with a coupon rate of 5.8 percent. The bond sells for $

997.27 and matures in 16 years. The par value is $1,000. What is the YTM of the bond?
Business
1 answer:
Reptile [31]2 years ago
3 0

Answer:

YTM of the bond is 5.82%

Explanation:

The yield to maturity can be calculated using the rate formula in excel ,given as =rate( nper,pmt,-pv,fv)

nper is the number of times during the bond life  coupon interest would be paid,which is 16 years multiplied by 2=32

pmt is the semi annual payment of the bond which is 5.8%*$1000/2=$29

pv is the current price of the bond $997.27

fv is the face value of the bond which is $1000

=rate(32,29,-997.27,1000)

rate=2.91%

that is semi-annual yield to maturity

annual yield is 2.91%*2=5.82%

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Explanation:

a. Total surplus is the area bounded by points a, b, and c. To calculate total surplus, we use the following formula for the area of a triangle: Area = ½ × Base × Height. The area between the demand curve and the supply curve for the quantity ranging from 0 to 20 is the total economic surplus. This is a triangle with a base (best read off the price axis) of $80, which is the price difference at Q = 0, or between points a and c, and a height of 20 (the number of units purchased in equilibrium). Using these values, we have a total surplus of (1/2) × $80 × 20 = $800.

The consumer surplus is the area between the demand curve and the equilibrium price line. Here we have a base of $40 (the price difference between the demand schedule price at Q = 0, which is $85, and the equilibrium price of $45). The height of the triangle is once again 20 (the number of units purchased in equilibrium). Using these values, we have a consumer surplus of (1/2) × 40 × 20 = $400.

b. Deadweight loss is the difference in total surplus between an efficient level of output Q1 and a reduced level of output at Q2. We can calculate this as the area of a triangle bounded by points bde. The base of this triangle is the difference in prices at points d and e, or $55 – $35 = $20. The height of this triangle is given by the difference in the restricted level of output of Q2 = 15 and the efficient level of output Q1 = 20, or 5 units. Thus, the area of this triangle (the deadweight loss) is equal to (1/2) × $20 × 5 = $50. The remaining total surplus can be found by subtracting the deadweight loss from the original (efficient) total surplus. This is $800 (maximum total surplus) – $50 (deadweight loss) = $750.

c. The deadweight loss from overproduction is the difference in total surplus between an efficient level of output Q1 and an additional level of output at Q3. We can calculate this as the area of a triangle bounded by points bfg. The base of this triangle is the difference in prices at points f and g, or $59 – $31 = $28. The height of this triangle is given by the difference in the additional level of output Q3 = 27 and the efficient level of output Q1 = 20, or 7 units. Thus, the area of this triangle (the deadweight loss) is equal to (1/2) × $28 × 7 = $98. The remaining total surplus can be found by subtracting the deadweight loss from the original total surplus. This is $800 (maximum total surplus) – $98 (deadweight loss) = $702. Note here that we maximize total (producer + consumer) surplus by producing the equilibrium quantity, but we lose surplus from overproduction (inefficient use of resources).

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2 years ago
A company has a factory that is designed so that it is most efficient (average unit cost is minimized) when producing 28,500 uni
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Answer:

Capacity utilization rate in October is 63.75%

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Delivery Truck                              $35,000

Total long term                            $39,000

Total assets                                   $72,000

Liabilities

Liabilities

Notes payable                           $27,000

Total liabilities                            $27,000

Stockholder equity

Common Stock                        $6,000

Additional Paid in Capital $39,000

Total Stockholder's equity  $45,000

Total Liabilities & Stockholder's

equity                                         $72,000

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