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The Richmond Car Company buys cars and then sells them at 20 percent above that cost. On January 1, 20X0, the company buys a car for $40,000 and leases it to a customer for six annual payments of $10,000 each. For convenience, assume that this amount includes interest at exactly 10 percent per year. The car is expected to have a life of six years with no residual value. The first payment is made immediately. What is the 20X0 increase in income for Richmond Car Company as a result of this lease contract?

Question

The Richmond Car Company buys cars and then sells them at 20 percent above that cost. On January 1, 20X0, the company buys a car for 40,000andleasesittoacustomerforsixannualpaymentsof40,000 and leases it to a customer for six annual payments of 10,000 each. For convenience, assume that this amount includes interest at exactly 10 percent per year. The car is expected to have a life of six years with no residual value. The first payment is made immediately. What is the 20X0 increase in income for Richmond Car Company as a result of this lease contract?

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Solution

To calculate the 20X0 increase in income for Richmond Car Company as a result of this lease contract, we need to follow these steps:

Step 1: Calculate the selling price of the car. Richmond Car Company sells cars at 20 percent above their cost. So, the selling price of the car would be 40,000+2040,000 + 20% of 40,000 = 40,000+40,000 + 8,000 = $48,000.

Step 2: Calculate the income from the first lease payment. The first payment is made immediately, so the company receives $10,000.

Step 3: Subtract the cost of the car from the income received. The cost of the car is 40,000,andthecompanyreceived40,000, and the company received 10,000 from the first lease payment. So, the increase in income for 20X0 would be 10,00010,000 - 40,000 = -$30,000.

However, this does not take into account the future income from the remaining lease payments. If we consider the present value of the remaining lease payments, the situation might be different. But based on the information given and the immediate cash flows, the company experiences a decrease in income of $30,000 in 20X0.

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