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Diano4ka-milaya [45]
3 years ago
12

GMC purchased a $180,000 milling machine, which will be used for 5 years. The machine is expected to save the company $30,000 du

ring the first year of operation. Then, the annual savings is expected to DECREASE by 3% per year over the previous year due to additional cost of maintenance. The machine is to be operated 5,000 hours per year (on average) and the machine is expected to have NO salvage value at the end of the 5-year project. Interest is 15% compounded annually. Determine the present worth, PW (15%), of all the savings in this problem. (Round your answer to the nearest dollar. Do not enter the $ symbol or use commas.)
Business
1 answer:
aliina [53]3 years ago
3 0

Answer:

Explanation:

\left[\begin{array}{ccc}Year&Cashflow&Present Value\\0&-180,000&-180,000\\1&30,000&26,086.9565\\2&29,100&22,003.7807\\3&28,227&18559.7107\\4&27,380.19&15,654.7125\\5&26,558.7843&13,204.4097\\Net&Value&-84,490.4299\\\end{array}\right]

The first step will be calculate the alue of eachcash saving

mulitply by (1- 0.03) which is the rate at which the flow decrease.

Then we calculate the present value of each cashflow

\frac{Principal}{(1 + rate)^{time} } = PV

<u />

<u>For example year 4:</u>

\frac{27,380.19}{(1 + 0.15)^{4} } = 15,654.7125

Then we add all the cash saving and compare with the machien cost to calcuale the net present value of the machine

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The forming stage includes a time of direction and acclimating. Uncertainty is high during this stage, and individuals are searching for leadership and authority. A member who declares authority or is educated might be hoped to take control.

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3 years ago
Both Bond Bill and Bond Ted have 10.4 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 5 ye
AURORKA [14]

Answer:

Ans,

a) If interest rates suddenly rise by 3 percent, Bill´s bond would drop by -20.02%  and Ted´s bond would go down by -36.07%

.

b) If rates were to suddenly fall by 3 percent, Bill´s bond would rise by 26.79%

and Ted´s bond would rise too by 86.47%

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Explanation:

Hi, first let´s go ahead and establish the stable scenario, for that we are going to use the information of the problem but we need to add the discount rate of the bond or yield, which is the missing information. All this so this concept can be explained in a better way, so for this example we´ll say that the yield of both bonds is 10% compounded semi-annually, the same units as the coupon. Now we have to use the following formula.

Price=\frac{Coupon((1+Yield)^{n}-1) }{Yield(1+Yield)^{n} } +\frac{FaceValue}{(1+Yield)^{n} }

Where:

Coupon = (%Coupon/2)*FaceValue= (0.104/2)*1,000=52

Yield = we are going to assume 10% annual, that is 5% semi-annual

n = Payment periods (For Bill n=5*2=10, for Ted, n=22*2=44)

So, let´s see what is the price of each bond if the yield was 10% annual compounded semi-annually.

Price(Bill)=\frac{52((1+0.05)^{10}-1) }{0.05(1+0.05)^{10} } +\frac{1,000}{(1+0.05)^{10} } =1,015.44

In Ted´s case, that is:

Price(Ted)=\frac{52((1+0.05)^{44}-1) }{0.05(1+0.05)^{44} } +\frac{1,000}{(1+0.05)^{44} } = 1,035.33

Now, if the interest rate (Yield) suddenly goes up by 3%, this is what happens to Bill´s Bond

Price(Bill)=\frac{52((1+0.08)^{10}-1) }{0.08(1+0.08)^{10} } +\frac{1,000}{(1+0.08)^{10} } = 812.12

If yield goes down by 3%, this is the new price of Bill´s bond.

Price(Bill)=\frac{52((1+0.02)^{10}-1) }{0.02(1+0.02)^{10} } +\frac{1,000}{(1+0.02)^{10} } =  1,287.44

Now, in the case of Ted, this is what happens to the price if the yield goes up.

Price(Ted)=\frac{52((1+0.08)^{44}-1) }{0.08(1+0.08)^{44} } +\frac{1,000}{(1+0.08)^{44} } =  661.84

If it goes down by 3%, this would be the price for Ted´s bond.

Price(Ted)=\frac{52((1+0.02)^{44}-1) }{0.02(1+0.02)^{44} } +\frac{1,000}{(1+0.02)^{44} } =   1,930.56

Now, in percentage, what we need to use is the following formula.

Change=\frac{(VariationValue-BaseValue)}{BaseValue} x100

For example, in the case of Bill´s bond, which yield went up by 3%, this is what we should do.

Change=\frac{(812.12-1,015.44)}{1,015.44} x100=-20.02Percent

So, the price variation is -20.02% if the yield rises by 3%.

This are the results of the prices and calculations for you to answer this question. Best of luck.

                         Bill        Ted                       % (Bill)       %(Ted)

Base Price     $1,015.44    $1,035.33    

(+) 3% Yield  $812.12          $661.84      -20.02%          -36.07%

(-) 3% Yield  $1,287.44     $1,930.56       26.79%            86.47%

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The answer is A. Early payment

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3 years ago
Atlas Company provided the following information for last year: Operating income $ 92,000 Sales 235,000 Beginning operating asse
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Answer: 0.22

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=\:\frac{operating\:income}{Average\:total\:assets}

where,

Average\:total\:assets=\frac{410,000+\:440,000}{2}

= $425,000

Now,putting the values into equation :-

=\:\frac{92,000}{425,000}

= 0.22

8 0
3 years ago
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