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Eduardwww [97]
3 years ago
10

A chemical manufacturer is setting up capacity in Europe and North America for the next three years. Annual demand in each marke

t is 2 million kilograms (kg) and is likely to stay at that level. The two choices under consideration are building 4 million units of capacity in North America or building 2 million units of capacity in each of the two loca-tions. Building two plants will incur an additional one-time cost of $2 million. The variable cost of production in North America (for either a large or a small plant) is currently $10/kg, whereas the cost in Europe is 9 euro/kg. The cur-rent exchange rate is 1 euro for U.S. $1.33. Over each of the next three years, the dollar is expected to strengthen by 10 percent, with a probability of 0.5, or weaken by 5 per-cent, with a probability of 0.5. Assume a discount factor of 10 percent. What should the chemical manufacturer do? At what initial cost differential from building the two plants will the chemical manufacturer be indifferent between the two options?
Business
1 answer:
Yuri [45]3 years ago
5 0

Answer:

Explanation:

The two choices under consideration are building 4 million units of capacity in North America

YEAR                         1                    2                           3  

Production and Sales 4,000,000.00   4,000,000.00   4,000,000.00  

Variable cost @ 10  40,000,000.00   40,000,000.00   40,000,000.00  

Divide by:

Conversion Factor  1.33                         1.33                     1.33  

Multiply by:

Growth(.1*.5)+(-.05*.5) 1.025                        1.025^2                  1.025^3  

NET CASHFLOWS  30,827,068.00   31,597,744.00   32,387,688.00  

DCF @ 10%     0.909090909           0.83                  0.75  

Present Values  28,024,607.27   26,113,838.02   24,333,349.36  

NET TOTAL COST 78,471,794.65  

or building 2 million units of capacity in each of the two loca-tions. Building two plants will incur an additional one-time cost of $2 million.

YEAR                  0            1                      2                              3  

Production and Sales       4,000,000.00      4,000,000.00   4,000,000.00  

Variable cost @ [(10+9)/2] 38,000,000.00  38,000,000.00   38,000,000.00  

Additional cost  2,000,000.00      

Conversion Factor     1.33     1.33                   1.33                       1.33  

Growth(.1*.5)+(-.05*.5)    1.025               1.025^2              1.025^3  

CASHFLOWS  1,503,759.40  29,285,714.29  30,017,857.00  30,768,304.00  

DCF @ 10%       1           0.909090909    0.826446281 0.751314801  

Present Value 1,503,759.40  26,623,376.62   24,808,146.28   23,116,682.19  

NET TOTAL COST = 76,051,964.50  

DECISION: The manufacturer should build 2 plants in 2 different locations because it gives a lower net present cost

<u>At what initial cost differential from building the two plants will the chemical manufacturer be indifferent between the two options?</u>

The difference in both options came from the fact that variable cost is lower in Europe and building the plant is more expensive. If there is no increase in cost and variable cost is same everywhere, then both options will be same.

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b) MW Company uses an activity-based costing system to identify its activities into cost pools and assign the cost of each activity pool to the products and services according to their actual consumption of the activities.  The activity-based costing technique provides a more accurate method for determining the costs of products and services.  As a more accurate method for pricing decisions than other traditional methods, activity-based costing technique increases management's understanding of overheads and cost drivers and makes activities that are costly and non-value adding to become more visible, allowing managers to reduce or eliminate them, because these activities add costs to the production system.

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<h3>What is the value of the investment today?</h3>

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This amount should be added to the Year 7 cashflow to get:

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The value today can be found by taking all the cashflows to their present value and summing them:

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Find out more on present value at brainly.com/question/17199492.

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