Final answer:
To determine which bank or cooperative will yield the greatest amount after 5 years, we need to calculate the future value of Kirito's investment using the given interest rates and compounding periods for each option. Based on the calculations, the Aincrad Liberation Force Cooperative will yield the greatest amount after 5 years with a value of ₹1,602,337.72.
Step-by-step explanation:
To determine which bank or cooperative will yield the greatest amount after 5 years, we need to calculate the future value of Kirito's investment using the given interest rates and compounding periods for each option.
Option A: Knights of the Blood Oath Bank - 5% annual simple interest
The future value can be calculated using the formula: Future Value = Principal + (Principal * Rate * Time)
Future Value = ₹1,500,000 + (₹1,500,000 * 0.05 * 5) = ₹1,875,000
Option B: Moonlit Black Cats Bank - 3% compounded quarterly
The future value can be calculated using the formula: Future Value = Principal * (1 + Rate/Compounding Period)^(Compounding Period * Time)
Future Value = ₹1,500,000 * (1 + 0.03/4)^(4 * 5) = ₹1,593,848.66
Option C: Aincrad Liberation Force Cooperative - 1% compounded monthly
The future value can be calculated using the formula: Future Value = Principal * (1 + Rate/Compounding Period)^(Compounding Period * Time)
Future Value = ₹1,500,000 * (1 + 0.01/12)^(12 * 5) = ₹1,602,337.72
Based on the calculations, the Aincrad Liberation Force Cooperative will yield the greatest amount after 5 years with a value of ₹1,602,337.72.