a. To calculate Benz's interest income for Year 1, we need to determine the interest accrued from May 1 to December 31. This involves calculating the interest for 8 months using the annual interest rate.
b. To find Benz's total amount of receivables at December 31, Year 1, we add the principal amount of the loan to the interest income calculated for Year 1.
c. The loan and interest will be reported on Benz's Year 1 statement of cash flows as cash used in investing activities, reflecting the outflow of cash for the loan.
To find Benz's interest income for Year 1, we use the formula for simple interest:
\[
\text{Interest Income} = P \times r \times t
\]
where:
- \( P = 12000 \) (principal)
- \( r = 0.08 \) (annual interest rate)
- \( t = \frac{8}{12} \) (time in years)
Calculating this gives:
\[
\text{Interest Income} = 12000 \times 0.08 \times \frac{8}{12} = 640
\]
The total amount of receivables at December 31, Year 1 is the sum of the principal and the interest income:
\[
\text{Total Receivables} = P + \text{Interest Income} = 12000 + 640 = 12640
\]
The loan and interest will be reported on Benz's Year 1 statement of cash flows as:
\[
\text{Cash Flows} = \text{Cash used in investing activities}
\]
- a. Interest income for Year 1: \\(\boxed{640}\\)
- b. Total receivables at December 31, Year 1: \\(\boxed{12640}\\)
- c. Statement of cash flows: \\(\boxed{\text{Cash used in investing activities}}\\)