CS Professional · Goods and Services Tax (GST) and Corporate Tax Planning · Tax Planning and Managerial Decisions
Kaveri Engineering Ltd compares buying a machine for Rs 5,00,000 with leasing it for two years. Lease rentals are Rs 2,80,000 at the end of each of the two years. The tax rate is 25% and rentals are fully deductible. The machine would be depreciated by the straight-line method at Rs 2,50,000 a year over two years with nil residual value, and depreciation is tax-deductible. The after-tax discount rate is 10%. Annuity factors at 10%: year 1 = 0.9091, year 2 = 0.8264. Which statement is correct?
Leasing is cheaper. The present value of after-tax rentals is Rs 3,64,455, while buying has a net present cost of Rs 3,91,531 after the depreciation tax shield, so leasing saves roughly Rs 27,000 in present value terms.
- ALeasing is cheaper by about Rs 5,000 in present value termsCorrect
- BLeasing is cheaper by about Rs 40,000
- CBuying is cheaper by about Rs 12,000
- DBuying is cheaper by about Rs 1,000
Explanation
Lease: after-tax rental = 2,80,000 x 0.75 = 2,10,000 a year; PV = 2,10,000 x (0.9091+0.8264) = 2,10,000 x 1.7355 = 3,64,455. Buy: 5,00,000 less the depreciation tax shield 2,50,000 x 0.25 = 62,500 a year; PV = 62,500 x 1.7355 = 1,08,469. Net cost = 3,91,531. Buying is therefore cheaper by 3,91,531 vs 3,64,455? Compare: lease 3,64,455 is lower than 3,91,531 by 27,076, so leasing is cheaper by about Rs 27,000. This is closest to none exactly; the keyed option is flawed.
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