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16 September, 06:07

On January 1, 2021, Red, Inc. borrowed cash by issuing a $500,000, 5-year note that specified 6% interest to be paid on December 31 of each year and the $500,000 to be paid at maturity. If the note had instead been an installment note to be paid in four equal payments at the end of each year beginning December 31, 2021, which of the following would be true?

The annual cash payment would have been less.

The first year's interest expense would have been higher.

The second year's interest expense would have been less.

The effective interest rate would have been higher.

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  1. 16 September, 06:24
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    The second year's interest expense would have been less.

    Explanation:

    Given that

    Interest rate = 6%

    Borrowing cash for 5 year note = $500,000

    So, the interest expense

    = Borrowing cash for 5-year note * Interest rate

    = $500,000 * 6%

    = $30,000

    Now for an installment note, we have to consider both interest and the principal payment

    So, the first option is false, as the annual cash payment is more instead of loss

    The second option is also false as it the first year interest payment would remain the same instead of being higher

    The third option is correct as the principal amount plus the interest expense would get reduced by their actual amount because of the first payment with regard to principal and interest

    And, the fourth option is wrong as the effective interest rate would be less instead of being higher
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