On December 31, 2020, Flint Corporation sold for $150,000 an old machine having an original cost of $270,000 and a book value of $120,000. The terms of the sale were as follows: $30,000 down payment $60,000 payable on December 31 each of the next two years The agreement of sale made no mention of interest; however, 9% would be a fair rate for this type of transaction. What should be the amount of the notes receivable net of the unamortized discount on December 31, 2020 rounded to the nearest dollar? (The present value of an ordinary annuity of 1 at 9% for 2 years is 1.75911.)

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Answer:

$105,547

Explanation:

Original cost of machine = $270,000

Machine sold for = $150,000

Book value = $120,000

Down payment = $30,000

$60,000 payable on December 31 each of the next two years .

Present value of an ordinary annuity of 1 at 9% for 2 years = 1.75911

The amount of the notes receivable net of the unamortized discount:

= Amount paid on December 31st ×  Present value of an ordinary annuity

= $60,000 × 1.75911

= $105,547

The amount of notes receivable net of amortized discount on December 2020 is $ 105,546. The present value of an ordinary annuity is already is given of 1 at 9% for 2 years is 1.75911.

What is present value of an annuity?

The cash value of all future pension payments is called the present value of an annuity. It is important to remember the time value of money when calculating the current value of the annuity because it includes inflation. The discount rate of your annuity also has a significant impact on its current value.

In the information given, present value of an annuity of 1 at 9% for 2 years is given which is 1.75911 and the amount payable for the next 2 years is given is $60,000.

[tex]\rm\,Amount\,of\,notes\,receivable\,net\,of\,amortized\,discount = \rm\,Amount\,payable\,for\,the\,next\,two\,years \times present\,value\,of\,an \,ordinary \,annuity \\\\= \$60,000 \times 1.75911\\\\= \$\,105,546[/tex]

Hence, the amount of notes receivable net of amortized discount is $105,546

To learn more about present value of an annuity, refer to the link:

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