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CA Final · Advanced Financial Management · Securitization

A bank securitises a pool of Rs 10 crore of loans repayable in 5 equal annual instalments (paid at each year end) at an interest rate of 10% p.a. The 5-year annuity factor at 10% is 3.7908. What is the principal component of the first annual instalment, to the nearest Rs 0.001 crore?

The principal component of the first instalment is Rs 1.638 crore. The level instalment is 10 crore divided by 3.7908, which is Rs 2.638 crore. First-year interest of Rs 1 crore is deducted from it. Straight-line repayment of Rs 2 crore ignores the annuity structure.

  1. ARs 2.000 crore
  2. BRs 1.000 crore
  3. CRs 2.638 crore
  4. DRs 1.638 croreCorrect

Explanation

Instalment = 10 / 3.7908 = Rs 2.638 crore. First-year interest is 10% of 10 = Rs 1.000 crore. Principal is 2.638 - 1.000 = Rs 1.638 crore. Rs 2.638 crore is the total instalment, and Rs 2.000 crore wrongly assumes straight-line repayment.

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