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irina [24]
3 years ago
15

Perit Industries has $110,000 to invest. The company is trying to decide between two alternative uses of the funds. The alternat

ives are:
Project A Project B
Cost of equipment required $110,000 $0
Working capital investment required $0 $110,000
Annual cash inflows $20,000 $68,000
Salvage value of
equipment in six years $8,600 $0
Life of the project 6 years 6 years
The working capital needed for project B will be released at the end of six years for investment elsewhere. Perit Industries’ discount rate is 16%.
Required:
1. Compute the net present value of Project A.
2. Compute the net present value of Project B.
3. Which investment alternative (if either) would you recommend that the company accept?
Business
1 answer:
professor190 [17]3 years ago
4 0

Answer:

$-32,775.48

$185,710.69

Project B

Explanation:

Net present value is the present value of after-tax cash flows from an investment less the amount invested.  

NPV can be calculated using a financial calculator  

Only projects with a positive NPV should be accepted. A project with a negative NPV should not be chosen because it isn't profitable.  

When choosing between positive NPV projects, choose the project with the highest NPV first because it is the most profitable.

Project A  

Cash flow in year 0 = -$110,000

Cash flow in year 1 - 5 =  $20,000

Cash flow in year 6 = $20,000 +  $8,600 = 28,600

I = 16%

NPV = $-32775.48

Project B  

Cash flow in year 0 = -$110,000

Cash flow in year 1 - 5 =  $68,000

Cash flow in year 6 = $68,000 + $110,000 = $178,000

I = 16%

NPV = $185,710.69

Project B should be chosen because its NPV is positive

To find the NPV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

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Bond J has a coupon of 7.6 percent. Bond K has a coupon of 11.6 percent. Both bonds have 12 years to maturity and have a YTM of
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Answer:

Bond J has a coupon of 7.6%  

Bond K has a coupon of 11.6%

12 years to maturity and YTM of 8.2%

first we must determine the current market price of both bonds using the yield to maturity formula:

YTM = {C + [(FV - PV) / n]} /  [(FV + PV) / 2]

  • YTM = 8.2%
  • C = coupon payment = $76 and $116
  • FV = face value or value at maturity = $1,000
  • PV = present value or current market value = ???
  • n = 12 years

current market value of Bond J:

0.082 = {76 + [(1,000 - PV) / 12]} /  [(1,000 + PV) / 2]

[(1,000 + PV) / 2]  x 0.082 = 76 + [(1,000 - PV) / 12]

41 + 0.041PV = 76 + 83.33 - 0.083PV

0.124PV = 118.33

PV = 118.33 / 0.124 = $954.27

current market value of Bond K:

41 + 0.041PV = 116 + 83.33 - 0.083PV

0.124PV = 158.33

PV = 158.33 / 0.124 = $1,276.85

a. If interest rates suddenly rise by 2.2 percent, what is the percentage price change of these bonds?

YTM = {C + [(FV - PV) / n]} /  [(FV + PV) / 2]

  • YTM = 8.2% + 2.2% = 10.4%
  • C = coupon payment = $76 and $116
  • FV = face value or value at maturity = $1,000
  • PV = present value or current market value = ???
  • n = 12 years

market value of Bond J:

0.102 = {76 + [(1,000 - PV) / 12]} /  [(1,000 + PV) / 2]

[(1,000 + PV) / 2]  x 0.102 = 76 + [(1,000 - PV) / 12]

102 + 0.051PV = 76 + 83.33 - 0.083PV

0.134PV = 157.33

PV = 57.33 / 0.134 = $427.84

market value of Bond K:

102 + 0.051PV = 116 + 83.33 - 0.083PV

0.134PV = 97.33

PV = 97.33 / 0.134 = $726.34

Bond J's market price will decrease by ($427.84 - $954.27) / $954.27 = -55.17%

Bond K's market price will decrease by ($726.34 - $1,276.85) / $1,276.85 = -43.11%

b. If interest rates suddenly fall by 2.2 percent, what is the percentage price change of these bonds?

YTM = {C + [(FV - PV) / n]} /  [(FV + PV) / 2]

  • YTM = 6%
  • C = coupon payment = $76 and $116
  • FV = face value or value at maturity = $1,000
  • PV = present value or current market value = ???
  • n = 12 years

current market value of Bond J:

0.06 = {76 + [(1,000 - PV) / 12]} /  [(1,000 + PV) / 2]

[(1,000 + PV) / 2]  x 0.06 = 76 + [(1,000 - PV) / 12]

30 + 0.030PV = 76 + 83.33 - 0.083PV

0.113PV = 129.33

PV = 129.33 / 0.113 = $1,144.51

current market value of Bond K:

30 + 0.030PV = 116 + 83.33 - 0.083PV

0.113PV = 169.33

PV = 169.33 / 0.113 = $1,498.50

Bond J's market price will increase by ($1,144.51 - $954.27) / $954.27 = 19.94%

Bond K's market price will increase by ($1,498.50 - $1,276.85) / $1,276.85 = 17.36%

8 0
3 years ago
The following information applies to the questions displayed below Over a four-year period, Jackie Corporation reported the foll
lawyer [7]

Answer:

1. Gross Profit ratio

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2019 30%

2020 62%

2021 47%

2. Gross Profit ratio

2018 47%

2019 47%

2020 47%

2021 47%

Explanation:

1. Calculation for the gross profit ratio for each of the four years based on amounts originally reported.

2018 2019 2020 2021

Net sales $60,000 $66,000 $74,000 $90,000

Less Cost of goods sold $32,000 $46,000 $28,000 $48,000

=Gross profit$ 28,000 $20,000 $46,000 $42,000

Gross Profit ratio

2018 47% =$28,000/$60,000

2019 30% =$20,000/$66,000

2020 62% =$46,000/$74,000

2021 47% =$42,000/$90,000

2. Calculation for the gross profit ratio for each of the four years based on corrected amounts.

Cost of goods sold 2019=$46,000-$11,000

Cost of goods sold 2019=$35,000

Cost of goods sold 2020=$28,000+$11,000

Cost of goods sold 2020=$39,000

2018 2019 2020 2021

Net sales $60,000 $66,000 $74,000 $90,000

Less Cost of goods sold $32,000 $35,000 $39,000 $48,000

=Gross profit $28,000 $31,000 $35,000 $42,000

Gross Profit ratio

2018 47% =$28,000/$60,000

2019 47% =$31,000/$66,000

2020 47% =$35,000/$74,000

2021 47% =$42,000/$90,000

3 0
3 years ago
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