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Joe wants to start his own business. The business he wants to start will require that he purchase a factory that costs $300,000. To finance this purchase, he will use $100,000 of his own money, on which he has been earning 10 percent interest. In addition, he will borrow $200,000, and he will pay 12 percent interest on that loan. For the first year of operation, what is the opportunity cost of purchasing the factory?

Question

Joe wants to start his own business. The business he wants to start will require that he purchase a factory that costs 300,000.Tofinancethispurchase,hewilluse300,000. To finance this purchase, he will use 100,000 of his own money, on which he has been earning 10 percent interest. In addition, he will borrow $200,000, and he will pay 12 percent interest on that loan. For the first year of operation, what is the opportunity cost of purchasing the factory?

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Solution

The opportunity cost of purchasing the factory can be calculated by considering the foregone interest from Joe's own money and the interest he has to pay on the loan.

  1. First, calculate the foregone interest on Joe's own money. He has been earning 10 percent interest on his 100,000.So,theforegoneinterestis10/100100,000. So, the foregone interest is 10/100 * 100,000 = $10,000.

  2. Next, calculate the interest on the loan. He has to pay 12 percent interest on his 200,000loan.So,theinterestontheloanis12/100200,000 loan. So, the interest on the loan is 12/100 * 200,000 = $24,000.

  3. Finally, add the foregone interest and the interest on the loan to get the opportunity cost of purchasing the factory. So, the opportunity cost is 10,000+10,000 + 24,000 = $34,000.

Therefore, the opportunity cost of purchasing the factory for the first year of operation is $34,000.

This problem has been solved

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