NISM Certifications · NISM-Series-X-B: Investment Adviser (Level 2) · Case Studies in Comprehensive Financial Advice
Caselet: Meena, 35, wants to retire at 60 and expects to live to 85. Her current annual expenses are Rs 6,00,000. Assume inflation of 5% a year until retirement. She plans to withdraw her first-year retirement expense at the start of retirement. What is the approximate annual expense in the first year of retirement? (Use 1.05^25 = 3.386)
The first-year retirement expense is about Rs 20,31,600. Current expenses of Rs 6,00,000 are compounded at 5% inflation for 25 years, a factor of 3.386. Simple-interest or short-period calculations understate the compounded effect of inflation.
- ARs 20,31,600Correct
- BRs 30,00,000
- CRs 18,00,000
- DRs 12,60,000
Explanation
Future expense = 6,00,000 x 1.05^25 = 6,00,000 x 3.386 = Rs 20,31,600. Rs 30,00,000 wrongly adds simple inflation (25 x 5% x 6 lakh plus base). Rs 12,60,000 uses only 5 years of growth. Rs 18,00,000 is a simple-interest error.
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