Final answer:
To calculate the maturity value of the loan, use the simple interest formula: Maturity Value = Principal + (Principal * Rate * Time). Plugging in the given values, the maturity value of the loan is approximately $21,585.01.
Step-by-step explanation:
To calculate the maturity value of the loan, we need to use the simple interest formula: Maturity Value = Principal + (Principal * Rate * Time)
In this case, the Principal is $21,400, the Rate is 8.5% (or 0.085 as a decimal), and the Time is 120 days (or 120/365 as a decimal).
Plugging in these values, we get: Maturity Value = $21,400 + ($21,400 * 0.085 * (120/365))
Simplifying the expression, we find that the maturity value of the loan is approximately $21,585.01