Question
Ahmad received a 60 days, 10% interest bearing note which is dated on 3 April 2023. Then, 30 days before maturity date, he went to bank to discount the note with 4% interest rate and received RM2500. Determine:
a. the maturity date
b. the maturity value of the note
c. the bank discount
d. the face value of the note
a. the maturity date
b. the maturity value of the note
c. the bank discount
d. the face value of the note
Answers
GPT 3.5
a. The maturity date is 2 June 2023 (60 days after 3 April).
b. To find the maturity value of the note, we use the formula:
Maturity Value = Face Value + Face Value * Interest Rate * Time
Maturity Value = Face Value + Face Value * 10% * 60/360
Maturity Value = Face Value + Face Value * 1%
Maturity Value = Face Value + 0.01 * Face Value
Maturity Value = 1.01 * Face Value
c. The bank discount is the difference between the face value and the amount Ahmad received when he discounted the note:
Bank Discount = Face Value - Amount received
Bank Discount = Face Value - RM2500
d. We need to set up an equation to solve for the face value using the information given:
Face Value - Bank Discount = Amount received
Face Value - (Face Value - RM2500) = RM2500
Face Value - Face Value + RM2500 = RM2500
RM2500 = RM2500
Therefore, the face value of the note is RM2500.
b. To find the maturity value of the note, we use the formula:
Maturity Value = Face Value + Face Value * Interest Rate * Time
Maturity Value = Face Value + Face Value * 10% * 60/360
Maturity Value = Face Value + Face Value * 1%
Maturity Value = Face Value + 0.01 * Face Value
Maturity Value = 1.01 * Face Value
c. The bank discount is the difference between the face value and the amount Ahmad received when he discounted the note:
Bank Discount = Face Value - Amount received
Bank Discount = Face Value - RM2500
d. We need to set up an equation to solve for the face value using the information given:
Face Value - Bank Discount = Amount received
Face Value - (Face Value - RM2500) = RM2500
Face Value - Face Value + RM2500 = RM2500
RM2500 = RM2500
Therefore, the face value of the note is RM2500.