Simple interest: You make a loan to the company on February 21, 2022 for an amount of $10,000,000 with the commitment that you must pay it with the interest generated on October 17 of the current year. The interest rate you must pay is 12% simple bimonthly. Perform the following numerals according to the statement: 1. Prepare the cash flow corresponding to the lender. 2. Calculate the number of days (business year β actual year) 3. Calculate the interest to be paid in both cases 4. Calculate the total amount to be paid in both cases
Question
Answer:
To calculate the simple interest on the loan and the total amount to be paid, we need to follow these steps:
Prepare the cash flow corresponding to the lender:
Loan Amount: $10,000,000
Interest Rate: 12% per annum (simple bimonthly)
Loan Start Date: February 21, 2022
Interest Payment Date: October 17, 2022
Calculate the number of days (business year β actual year):
From February 21, 2022, to October 17, 2022:
Number of days in February: 28 (non-leap year)
Number of days in March, April, May, June, July, August, September: 31 days each
Number of days in October (up to and including the 17th): 17 days
Total number of days = 28 + 31 + 30 + 31 + 31 + 30 + 31 + 17 = 229 days
Calculate the interest to be paid:
The simple interest formula is:
Simple Interest (I) = (Principal amount x Rate x Time) / 100
Principal amount (P) = $10,000,000
Rate (R) = 12% per annum
Time (T) = 229 days / 365 (to convert to a fraction of a year)
I = (10,000,000 x 12 x (229/365)) / 100
Calculate the total amount to be paid:
Total Amount (A) = Principal amount + Interest
Now, let's calculate the interest and total amount:
Calculate the interest:
I = (10,000,000 x 12 x (229/365)) / 100
I β $758,904.11 (rounded to two decimal places)
Calculate the total amount:
A = Principal amount + Interest
A = $10,000,000 + $758,904.11
A β $10,758,904.11
So, the lender will receive approximately $758,904.11 in interest, and the total amount to be paid by the borrower is approximately $10,758,904.11 on October 17, 2022.
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11 months ago
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