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MasterTech, Inc. needs to borrow $5,000,000. The company will make 20 annual, equal payments of $430,000 with the first payment made in exactly one year. The interest rate on the loan is %

a. 6.39
b. 6.91
c. 7.75
d. 5.83
e. 8.64

1 Answer

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Final answer:

The student's question is about finding the interest rate for MasterTech, Inc.'s $5,000,000 loan with annual payments. The correct answer is approximately option a.

Step-by-step explanation:

The question from the student involves determining the interest rate for a loan MasterTech, Inc. needs to acquire. They are looking to borrow $5,000,000 and make 20 annual equal payments of $430,000. To answer this question, one would typically utilize a financial formula or a financial calculator to solve for the interest rate based on an annuity payment structure.

This involves understanding concepts such as present value, future value, payment amounts, and the number of periods.

One real-world example that is similar to this scenario is when a person obtains a mortgage for a home.

For instance, someone might ask, "What is the monthly payment of a $1,000,000 house loan over 30 years with a nominal interest rate of 6% convertible monthly?" Similarly, for a student loan or a credit card bill, one might ask about the payments or time to pay off at a given interest rate, such as in the questions, "What will her yearly payments be for a 15-year student loan at 6.8% interest?" or "How long will it take to pay off a $5,000 credit card bill with 21.9% APR?".

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