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Q.(OR) On 1st January, 2016 a company took a lease for 3 years for Rs. 1,00,000. It is decided to depreciate the lease by annuity method charging interest @ 5%. The annuity value for Re. 1 @ 5% interest for 3 years is 0.230974. Prepare leasehold property account for 3 years. (10)

Uttar Pradesh UpmspUP Board (UPMSP) Intermediate (Commerce) 2020Subjective· 10mImportance★★★★★
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Annuity method: add 5% interest to the book value each year and write off a fixed annuity of about Rs.36,721; the lease reduces to zero in 3 years. (The paper's factor 0.230974 is the 5-year figure; the correct 3-year 5% factor is 0.367209.)

In the annuity method the asset is treated as an investment: it is credited with interest at the agreed rate on its opening book value, and a fixed amount (the annuity) is debited to depreciation so that the asset is written off to nil over its life. The annuity = cost x annuity (capital-recovery) factor.

Note on the data: the question prints the factor 0.230974, but that is the capital-recovery factor for 5 years at 5%. For a 3-year lease at 5% the correct factor is 0.367209. Using the correct 3-year factor (so that the lease is fully written off in 3 years as the question intends):

Annual depreciation = 1,00,000 x 0.367209 = Rs.36,721 (rounded).

Leasehold Property Account:

2016: To Bank 1,00,000; To Interest 5,000 (5% of 1,00,000) = 1,05,000.

By Depreciation 36,721; By Balance c/d 68,279.

2017: To Balance b/d 68,279; To Interest 3,414 (5% of 68,279) = 71,693. …

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