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Len [333]
3 years ago
5

Barnes enterprises has bonds on the market making annual payments, with 14 years to maturity, a par value of $1,000, and a price

of $967. at this price, the bonds yield 7.9 percent. what must the coupon rate be on the bonds?
Business
1 answer:
Brrunno [24]3 years ago
7 0

Answer: The coupon rate on the bonds is 7.50%.

The current price of a bond is nothing but the discounted value of the coupon payments and the face value at the yield or YTM.

Hence, mathematically the bond's price is given by the formula:

\mathbf{CMP_{bond} = C*\left ( \frac{1-(1+r)^{-n}}{r} \right) + \frac{FV}{(1+r)^{n}}}

where,

CMP = Current Market Price of the bond

C    = Coupon in dollars

r      = YTM

n     = number of years to maturity

FV = Face Value

Substituting the values in the equation above we get,

967 = C*\left ( \frac{1-(1.079)^{-14}}{0.079} \right) + \frac{1000}{(1.079)^{14}}

Solving further we get,

967 = C*8.292338915 + \frac{1000}{2.899347199}

967 = C*8.292338915 + 344.9052257


622.0947743 = C*8.292338915

\mathbf{C = 75.02042315}

Since the dollar value of coupons is $75.02042315, we can calculate the coupon rate on the bonds as:

\mathbf{Coupon rate = \frac{Coupon}{Face Value}*100}

Coupon rate = \frac{75.02042315}{1000}*100

Coupon rate = 0.075020423*100

\mathbf{Coupon rate = 7.502042%}

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Equivalent unit of conversion = 17250

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Cost per equivalent unit of conversion Cost = Total Cost/Equivalent unit = 55660/17250 = 3.23

6 0
2 years ago
Suppose a 95% confidence interval was made to estimate the monthly cost of internet service instead of a 90% confidence interval
Alex

The 95% confidence interval will be wider than the 90% confidence interval.

In statistics, the likelihood that a population parameter will fall between a set of values for a certain percentage of the time is referred to as a confidence interval. Analysts frequently employ confidence ranges that include 95% or 99% of anticipated observations. Therefore, it may be concluded that there is a 95% likelihood that the real value falls within that range if a point estimate of 10.00 with a 95% confidence interval of 9.50 - 10.50 is derived using a statistical model.

  • The level of certainty or uncertainty in a sampling process is measured by confidence intervals.
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Learn more about Confidence interval, here

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6 0
10 months ago
In capitalism, what does competition do for consumers?
borishaifa [10]

It keeps prices fair for consumers who are trying to buy there products.


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7 0
2 years ago
Abe Lincoln was scheduled to give a speech that was rumored to be better than his Gettysburg Address. Many citizens were plannin
Assoli18 [71]

Answer:discharge by frustration of purpose

Explanation:

Discharge by frustration of purpose is a defense concept used in law in order to bring about a breach or termination of a contract.This occurs when unplanned,spontaneous or unforeseen circumstances occurs and thus,it prohibits or prevents the core reason in which the contract was being entered into at the time of the contracts agreement,with both parties fully aware of the core reason which brought about the establishment of the contract.That is to say,the primary objective in which the contract was being created upon has automatically brought about a halt of the secondary reason(which is the contract itself),having in mind that both parties were originally aware of the primary reason for entering the contract.

Here,Paul and Patti Smith rented a room an amount triple it's original price because they were so excited to hear Lincoln speak. A day before Lincoln's speech, he was assassinated.So this disappointment brought about a "discharge by frustration of purpose" by the Smiths,not forgetting that that The bed and breakfast knew it was their original intent,that's why they paid such exorbitant prices for the room rental,although it sued them.

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Knowing the behavior pattern of a cost is important to determine the effect on net income of a change in sales volume because as
Kipish [7]

Answer:

c. the effect on net income will depend on the behavior pattern of various costs.

Explanation:

When sales volume increases or decreases, to determine the effect of this on net income it is important know the behavior pattern of a cost because costs also affect the net income and they have show different patterns. Variable costs will increase or decrease according to the variation of the quantities sold and fixed cost tend to stay the same. However, they may change if, for example, it is necessary to rent a bigger space to be able to increase production and this increase in a fixed cost might take the effect in the net income of an increase in the sales volume.  So, understanding this type of behavior is important to understand how changes in sales volume can affect the net income.

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