What is the face value of a promissory note that will be discounted in a bank when there are 25 days left until maturity, if a net amount is required S/. 2000? A rate of 24% per year will be applied to the promissory note.
Accepted Solution
A:
To find the face value of the promissory note, we can use the formula for discounting a promissory note:
Face Value = Net Amount / (1 - (Discount Rate * Time / 360))
Where:
Net Amount is the amount received after discounting,
Discount Rate is the annual discount rate,
Time is the remaining time until maturity in days (assuming a 360-day year).
Given:
Net Amount (S/. 2000)
Discount Rate (24% per year)
Time (25 days)
First, we need to convert the annual discount rate to a daily rate. Assuming a 360-day year, the daily discount rate would be:
Daily Discount Rate = Discount Rate / 360 = 0.24 / 360 = 0.0006667 (rounded to 7 decimal places)
Now, we can substitute the values into the formula:
Face Value = 2000 / (1 - (0.0006667 * 25 / 360))
Calculating the expression in the parentheses:
Face Value = 2000 / (1 - 0.0173611)
Face Value = 2000 / 0.9999
Face Value β 2000.09
Therefore, the face value of the promissory note that will be discounted in a bank when there are 25 days left until maturity, and a net amount of S/. 2000 is required, is approximately S/. 2000.09.