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CMA Final · Strategic Financial Management · Leasing Decisions

Sundaram Textiles Ltd. leases a machine under a finance lease. The lessor charges a lease rental of ₹2,00,000 per year for 5 years, payable at the end of each year, and the lessor's implicit rate is 10%. Present value annuity factor for 5 years at 10% is 3.79. What is the fair value of the machine implied by the lease (the lessor's investment), ignoring any residual value?

The implied fair value is ₹7,58,000, because the lessor's investment equals the present value of the five year-end rentals discounted at the implicit rate of 10%: 2,00,000 multiplied by 3.79. Adding rentals without discounting gives a wrong figure.

  1. A₹7,58,000Correct
  2. B₹10,00,000
  3. C₹6,00,000
  4. D₹8,34,000

Explanation

With no residual value, the lessor's investment equals the present value of rentals at the implicit rate: 2,00,000 x 3.79 = ₹7,58,000. The figure ₹10,00,000 simply adds up the rentals without discounting, which ignores the time value of money.

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