Mr. Shakti wishes to borrow Tk. 10,00,000 for three years.

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Mr. Shakti wishes to borrow Tk. 10,00,000 for three years. His bank is ready to lend him this amount if he contracts to pay bank Tk. 16,00,000 at the end of three years. What is the implicit compound interest rate implied by this contract?

To find the implicit annual compound interest rate (d87ff165 2ceb 4879 8075 1b97c9223872), we use the Future Value formula for Compound Interest:

image 110

Given Information:

  • Present Value (42da3938 59d5 4f32 8274 046dc8b8e795): Tk. 10,00,000
  • Future Value (a47bf33a e73d 4ae2 902e ffc39bcff9ab): Tk. 16,00,000
  • Time Period (56c6d9fd b0c3 42c7 81eb 9fa9d3611a7e): 3 years

Step-by-Step Calculation:

  1. Set up the equation:
image 111
  1. Divide both sides by dbd5620e 8f41 4417 9175 f0b812739f1a:
image 113
  1. Take the cube root (or f38c7ac7 7770 483e 98f6 6cfe29735567 power) of both sides:
image 112
image 114
  1. Solve for 6ff126fa 9a0a 4b74 be48 c971f1d264b3:
image 111

Conclusion:

The implicit annual compound interest rate implied by this contract is 16.96% (or approximately 16.9607%).

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