Your business requests a 3-month loan for \[tex]$450,000. What will be the interest paid at the end of the term if the business risk percentage is assessed at $[/tex]2.2 \%[tex]$ and LIBOR is at $[/tex]1.8 \%[tex]$?

\[
\text{Interest Paid} = \$[/tex][?]
\]



Answer :

To determine the interest paid on a 3-month loan amounting to \[tex]$545,000 given a business risk percentage of 2.2% and a LIBOR percentage of 1.8%, we can follow these steps: 1. Convert the percentage rates to decimal form: \[ \text{Business Risk Rate} = \frac{2.2}{100} = 0.022 \] \[ \text{LIBOR Rate} = \frac{1.8}{100} = 0.018 \] 2. Sum these rates to get the total interest rate: \[ \text{Total Interest Rate} = 0.022 + 0.018 = 0.040 \] 3. Convert the loan term from months to years: Since there are 12 months in a year, the loan term in years is: \[ \text{Loan Term in Years} = \frac{3}{12} = 0.25 \text{ years} \] 4. Calculate the interest paid using the formula for simple interest: \[ \text{Interest Paid} = \text{Principal Amount} \times \text{Total Interest Rate} \times \text{Loan Term in Years} \] Substituting the values we have: \[ \text{Interest Paid} = 545000 \times 0.040 \times 0.25 \] 5. Compute the product: \[ \text{Interest Paid} = 545000 \times 0.01 = 5450 \] Therefore, the interest paid at the end of the 3-month loan term would be \$[/tex]5,450.