The correct answer is C because it accurately accounts for quarterly compounding. The calculation involves:

1. First Year: The quarterly compounded rate for 3% is calculated as:

   $$90,000 \times \left(1 + \frac{0.03}{4}\right)^4 = 90,000 \times 1.03034 = 92,730.60$$

2. Second Year: The quarterly compounded rate for 5% is applied to the new principal:

   $$92,730.60 \times \left(1 + \frac{0.05}{4}\right)^4 = 92,730.60 \times 1.05095 = 97,455.20$$

Thus, the account value at the end of the second year is closest to €697,455.

Why not A or B?

• A is incorrect because it assumes simple interest without compounding: 90,000 × (1 + 0.03 + 0.05) = 97,200.
• B is incorrect because it uses annual compounding instead of quarterly: 90,000 × (1.03) × (1.05) = 97,335.