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I was hoping somebody could help me with this one: The question reads as follows: “On August 1, 20X1, Vann Corp.’s $500,000, 1-year, noninterest-bearing note due July 31, 20X2, was discounted at Homestead Bank at 10.8%. Vann uses the straight-line method of amortizing discount. What amount should Vann report for notes payable in its December 31, 20X1, balance sheet?”
And the first part of the answer states: Discount on note = 10.8% x $500,000 = $54,000
Monthly amortization = $54,000 / 12 months = $ 4,500/month
Face amount of note $500,000
Less discount at issuance 54,000
Carrying value of note at issuance $446,000
My question is this: I thought the initial discount was calculated by using the following equation: 1.108x=$500,000, and x therefore equals $451,264. Thusly, If someone were to pay $451,264 for this note and then receive $500,000 12 months later; their rate of return would be 10.8 percent. If an investor purchased this note for $446,000 as the answer per the MCQ states, aren’t they getting a 12.1 percent rate of return? ($54,000 / $446,000 = .121). I am terribly confused by this answer and would appreciate some guidance. Thanks!
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