A firm borrows P2,000 for 6 years at 8%. At the end of 6 years, it renews the loan for the amount due plus P2,000 more for 2 years at 8%. What is the lump sum due? A. P 3,260.34 B. P 3,280.34 C. P 3,270.34 D. P 3,250.34

P 3,260.34
P 3,280.34
P 3,270.34
P 3,250.34

The correct answer is A. P 3,260.34.

The firm borrows P2,000 for 6 years at 8%. The interest for the first 6 years is P2,000 x 8% x 6 = P960. The amount due at the end of 6 years is P2,000 + P960 = P2,960.

The firm renews the loan for the amount due plus P2,000 more for 2 years at 8%. The total amount borrowed is P2,960 + P2,000 = P4,960. The interest for the next 2 years is P4,960 x 8% x 2 = P691.20. The lump sum due is P4,960 + P691.20 = P5,651.20.

Here is a breakdown of the calculation:

Loan amount = P2,000
Interest rate = 8%
Loan term = 6 years

Interest for the first 6 years = P2,000 x 8% x 6 = P960

Amount due at the end of 6 years = P2,000 + P960 = P2,960

New loan amount = P2,960 + P2,000 = P4,960

Interest rate = 8%
Loan term = 2 years

Interest for the next 2 years = P4,960 x 8% x 2 = P691.20

Lump sum due = P4,960 + P691.20 = P5,651.20