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CA Final · Advanced Financial Management · Securitization

Kaveri Bank sells to an SPV a pool of receivables that pays Rs 40 lakh at the end of each of the next 3 years. The pool's original contractual rate is 12%, and investors in the SPV require a yield of 10%. Given PVAF(12%,3)=2.4018 and PVAF(10%,3)=2.4869, what is the approximate gain on sale to the bank, taking the carrying value as the present value at 12%?

The gain on sale is about Rs 3.40 lakh. The SPV pays the present value at its 10% yield, about Rs 99.48 lakh, while the receivables carry at Rs 96.07 lakh when discounted at 12%. The difference between the two is the gain.

  1. ARs 3.40 lakhCorrect
  2. BRs 6.80 lakh
  3. CRs 96.07 lakh
  4. DRs 99.48 lakh

Explanation

Carrying value at 12% = 40 x 2.4018 = Rs 96.07 lakh. Sale price at 10% = 40 x 2.4869 = Rs 99.48 lakh. Gain = 99.48 - 96.07, which is about Rs 3.40 lakh. Rs 99.48 lakh is the sale price rather than the gain, and Rs 96.07 lakh is the carrying value.

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