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Gnoma [55]
3 years ago
6

On January 1, 2019, East Lansing, Inc., issues $2,000,000 of 10 percent, 5-year bonds that pay interest of $100,000 semiannually

. The market rate is 8 percent at the time of issuance. The present value of 1 at 4% for 10 periods is 0.6756. The present value of an annuity at 4% for 10 periods is 8.1109. The issue price of the bonds is _____.
Business
1 answer:
Rina8888 [55]3 years ago
4 0

Answer:

The issue price of the bond is the present value of  the future cash flows of the bond,which is $2,162,217.92.  

The calculation of the issue price is shown below.

Explanation

The bond will pay interest of $100000 for 10 periods plus $2000000 par at the end of the tenth period.

The formula applicable is: Future value of each period multiplied by applicable discounting factor.

Even though the bond is issued for only 5 years,but the fact that it pays interest semi-annually makes it 10 period duration(5years*2).

Interest rate should also be adjusted to show the time horizon of six month each by dividing 8% per year by 2.

The detailed computation of present value is as follows:

 Periods   Coupon Interest @10%/2   DCF=1/(1+r)^n   PV  

1.00                 100,000.00                     0.9615            96,153.85  

2.00                  100,000.00                       0.9246     92,455.62  

3.00                  100,000.00                        0.8890      88,899.64  

4.00                   100,000.00                          0.8548      85,480.42  

5.00                    100,000.00                            0.8219      82,192.71  

6.00                    100,000.00                            0.7903     79,031.45  

7.00                    100,000.00                             0.7599    75,991.78  

8.00                    100,000.00                             0.7307    73,069.02  

9.00                    100,000.00                             0.7026     70,258.67  

10.00                    2,100,000.00                     0.6756   <u>1,418,684.75</u>  

                                                                           <u> 2,162,217.92</u>  

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Explain one method economics and business people use to help them make business decisions?
djverab [1.8K]

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A cost-benefit analysis involves subtracting the sum of all the business costs from the business benefits.

Explanation:

Business is the act of exchanging goods and services for commercial purposes. The main aim of conducting a business for most people is to increase sales and make profit. In order to do this, there are business decisions that go into the running of business that determine how the business will perform. Most of these decisions if taken into account can lead to overall business success. There are different methods in economics that can aid a business person to make a decision, however, in this case we will consider the cost-benefit analysis as a tool of economics that can be used to make business decisions.

As indicated above, a cost-benefit analysis is a method that businesses often use to arrive at decisions. The analysis is done by first assigning monetary units to all the activities and processes that will go into the business. The total costs are then calculated from all the expenditures that will be incurred in the business. The benefits are then calculated from all the revenue expected to be got from the business. The costs are then subtracted from the benefits. The result can be either zero, negative or positive. A zero result implies that the business will break-even, there will be no losses or profits. A negative value implies that the business will go to a loss thus not advisable to venture in it. A positive result shows that the business will be profitable therefor it would be beneficial to venture into it.

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2 years ago
The supply of headphones is linear and upward sloping, and the demand for headphones is linear and downward sloping. Suppose the
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Answer:

8,000

Explanation:

Initially, the market is at equilibrium E1: P = P1; Q = Q1

Assume that the tax is imposed, the market will move to when Q = Q2; the price buyers pay is greater than P1, the price producers receive is less than P1.

We have: <em>Price buyers pay - Price producers receive = Tax</em>

As the tax decreases the equilibrium quantity by 700 headphoes

=> Q1 - Q2 = 700

=> Q2 = Q1 - 700

=> Q1 + Q2 = Q1 + Q1 - 700 = 2Q1 - 700

Before tax:

+) the producer surplus (PS) is equal to the area formed by supply curve S, price line P1 and the vertical axis

=> PS1 = Area of BE1P1

+) the consumer surplus (CS) is equal to the area formed by demand D, price line P1 and the vertical axis

=> CS1 = Area of AE1P1

=> The wellness before tax = CS1 + PS1 = Area of AE1B

After tax:

+) the producer surplus (PS) is equal to the area formed by supply curve S, price line (Price producers receives) and the vertical axis

=> PS2 = Area of BDE

+) the consumer surplus (CS) is equal to the area formed by demand D, price line (price buyers pay) and the vertical axis

=> CS2 = Area of ACF

+) The Tax revenue = Tax * Q2 = (Price buyers pay - Price producers receive) * Q2 = CD * DE = Area of CFDE

=> The wellness after tax = PS2 + CS2 + Tax Revenue = BDE + ACF + CDEF

=> Deadweight loss = Wellness before Tax - Wellness after tax = Area of EFE1 = 2,800

The tax decreases consumer surplus by $4,000.00, and it decreases producer surplus by $6,800.00

So that:

+) CS1 - CS2 =  4,000

=> Area of AE1P1 - Area of ACF = Area of CFE1P1 = 4,000

+) PS1 - PS2 = 6,800

=> Area of BE1P1 - Area of BDE = 6,800

=> Area of EDP1E1 = 6,800

=> Area of CFE1P1 + Area of EDP1E1 = 4,000 + 6,800

=> Area of CFE1ED = 10,800

Area of CDEF + Area of EFE1 = Area of CFE1ED = 10,800

=> Area of CDEF + 2,800 = 10,800

=> Area of CDEF = 8,000

=> Tax revenue = 8,000

6 0
2 years ago
A price ceiling will have NO immediate effect if: a. it is set above the equilibrium price. b. the equilibrium price is above th
ioda

Answer:

A. Set above equilibrium price

Explanation:

A price ceiling is a mandatory maximum price that a seller is allowed to charge. Generally, a government may impose this in order to protect consumers, especially with regards to the purchase of essential goods.

If the price ceiling was set below the equilibrium price (option c) or if the equilibrium price is above the price ceiling (option b), it will immediately cause a shortage (option d) since the quantity demanded would be higher than the quantity supplied when the price falls. This is because people will be willing to purchase more since it is cheaper but suppliers will be willing to produce less due to lower profits. Hence, options b, c and d are eliminated.

Option A is correct because... (please refer attached diagram):

When the price ceiling is above the equilibrium price, suppliers are willing to supply more since they can make higher profits but consumers will reduce purchasing since it is expensive. However, it does not cause any immediate effect because it takes time for suppliers to be able to produce more and cannot be done immediately unless anticipated in advance. In the long run however, quantity demanded will fall from equilibrium quantity to D1 and quantity supplied will rise from equilibrium quantity to S1. Hence, causing a surplus between D1 - S1 in the long run.

4 0
3 years ago
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