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 – actual year) 3. Calculate the interest to be paid in both cases 4. Calculate the total amount to be paid in both cases

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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 – 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‰ˆ $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‰ˆ $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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