Generation Of Wealth a mathematical overview<\/p>\n<\/blockquote>\n\n\n\n
Link to Medium Blog<\/a><\/p>\n\n\n\n As discussed in my old story the wealth generation takes time , but how much well i try to answer this using this blog Real CAGR=(1+Nominal CAGR\/1+Inflation)\u200b\u22121<\/p>\n\n\n\n Let us assume a conversative approach of 13.55% for Nifty 200<\/strong> in 21Y term (which it has shown historically)<\/p>\n\n\n\n Then real growth will be with nominal CAGR = 13.55% and inflation = 6.55%, The graph above shows how \u20b91 grows in real terms (inflation-adjusted)<\/strong>.<\/p>\n\n\n\n So, your money nearly quadruples in real purchasing power<\/strong> after 21 years at these rates.<\/p>\n\n\n\n With a 14% nominal CAGR like in case of Nifty 500 <\/strong>and 6.55% inflation<\/strong>, the real CAGR \u2248 6.99% per year<\/strong>.<\/p>\n<\/blockquote>\n\n\n\n From the chart:<\/p>\n\n\n\n So in real terms, money grows more than 4x in 21 years<\/strong>\u200a\u2014\u200aeven after fully accounting for inflation.<\/p>\n\n\n\n And yes,assumption is realistic. Over 21 years of disciplined, consistent investing in quality Indian equities or mutual funds<\/strong>, a 14% nominal CAGR<\/strong> is achievable, especially given India\u2019s long-term growth trajectory, corporate earnings expansion, and favorable demographics.<\/p>\n\n\n\n Now let us up our game can assume 14.5% assuming an active investing strategy then At 14.5% nominal<\/strong>, \u20b91 \u2192 4.91x real growth will be seen .<\/strong><\/p>\n<\/blockquote>\n\n\n\n Notice how a seemingly small difference of 0.5% CAGR (13.55 \u2192 14 \u2192 14.5) makes a big gap in long-term real wealth.<\/strong><\/p>\n<\/blockquote>\n\n\n\n And if you are an informed and seasoned investor and actively work with a wealth manager and are able to maintain 15% of CAGR\/XIRR each year in longer term then the real magic number comes to :<\/p>\n\n\n\n With a 15% nominal CAGR<\/strong> and 6.55% inflation<\/strong>, the real CAGR \u2248 7.93% per year<\/strong>.<\/p>\n\n\n\n From the graph:<\/p>\n\n\n\n So in real purchasing power, your money would grow 5x in 21 years<\/strong>.<\/p>\n\n\n\n However as you see across all graphs the real compounding happens at the end.<\/p>\n<\/blockquote>\n\n\n\n I broke the 21-year journey into three 7-year blocks<\/strong> and computed the inflation-adjusted (real)<\/strong> compounding for each scenario.<\/p>\n\n\n\n I\u2019ve placed a table and a 7-year-interval chart for you above. Highlights:<\/p>\n\n\n\n Exact doubling time: ~10.8 yrs<\/strong><\/p>\n<\/blockquote>\n\n\n\n Exact doubling time: ~10.1 yrs<\/strong><\/p>\n<\/blockquote>\n\n\n\n Exact doubling time: ~9.5 yrs<\/strong><\/p>\n<\/blockquote>\n\n\n\n Exact doubling time: ~8.9 yrs<\/strong><\/p>\n<\/blockquote>\n\n\n\n So remember your money will really double at appox a decade from investment.<\/em><\/strong><\/p>\n\n\n\n For a working span of NN<\/em> years (from age 22):<\/p>\n\n\n\n Corpus=\u2211t=0N\u22121C0 (1.08)t\u00d7(1.081) N\u22121\u2212tCorpus=t<\/em>=0\u2211N<\/em>\u22121C<\/em>0(1.08)t<\/em>\u00d7(1.081)N<\/em>\u22121\u2212t<\/em><\/p>\n\n\n\n Results<\/p>\n\n\n\n To express these figures in today\u2019s rupee value:<\/p>\n\n\n\n Real corpus=Nominal corpus(1.065)NReal corpus=(1.065)N<\/em>Nominal corpus<\/p>\n\n\n\n The effective annual gain above inflation is:<\/p>\n\n\n\n greal=1.08151.065\u22121\u22481.55%g<\/em>real=1.0651.0815\u22121\u22481.55%<\/p>\n\n\n\n Over the entire career:<\/p>\n\n\n\n \u00a9 2025 by <\/em>Shivanshu Pande<\/em><\/a> is licensed under <\/em>CC BY 4.0<\/em><\/a><\/p>\n","protected":false},"excerpt":{"rendered":" Generation Of Wealth a mathematical overview Link to Medium Blog As discussed in my old story the wealth generation takes time , but how much well i try to answer this using this blog We know the Real Growth rate Formula which is Real CAGR=(1+Nominal CAGR\/1+Inflation)\u200b\u22121 Let us assume a conversative approach of 13.55% for Nifty 200 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[12],"tags":[],"class_list":["post-168","post","type-post","status-publish","format-standard","hentry","category-personal-finance-finance-and-investing"],"acf":[],"_links":{"self":[{"href":"https:\/\/shivanshuconsults.in\/index.php\/wp-json\/wp\/v2\/posts\/168","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/shivanshuconsults.in\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/shivanshuconsults.in\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/shivanshuconsults.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/shivanshuconsults.in\/index.php\/wp-json\/wp\/v2\/comments?post=168"}],"version-history":[{"count":1,"href":"https:\/\/shivanshuconsults.in\/index.php\/wp-json\/wp\/v2\/posts\/168\/revisions"}],"predecessor-version":[{"id":174,"href":"https:\/\/shivanshuconsults.in\/index.php\/wp-json\/wp\/v2\/posts\/168\/revisions\/174"}],"wp:attachment":[{"href":"https:\/\/shivanshuconsults.in\/index.php\/wp-json\/wp\/v2\/media?parent=168"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/shivanshuconsults.in\/index.php\/wp-json\/wp\/v2\/categories?post=168"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/shivanshuconsults.in\/index.php\/wp-json\/wp\/v2\/tags?post=168"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
We know the Real Growth rate Formula which is<\/p>\n\n\n\n\n
the real CAGR \u2248 6.57% per year.<\/p>\n<\/blockquote>\n\n\n\n![\"\"](\"https:\/\/shivanshuconsults.in\/wp-content\/uploads\/2025\/08\/1pAm_2QtFRUnWrYsJ-T7RWg.jpg\")
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\u201c7-year blocks\u201d show<\/h3>\n\n\n\n
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Key results (inflation assumed 6.55%)<\/h3>\n\n\n\n
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How the \u201cmagic\u201d kicks in by blocks<\/h3>\n\n\n\n
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Bonus: Salaried Employees Only<\/strong><\/h3>\n\n\n\n
1. Overview of Inputs and Assumptions<\/h3>\n\n\n\n
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\n\n\n\n3. Annual PF Contributions<\/h3>\n\n\n\n
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\n\n\n\n4. Growth of Contributions Over Time<\/h3>\n\n\n\n
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\n\n\n\n5. Accumulation with Compounding<\/h3>\n\n\n\n
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\n\n\n\n6. Adjusting for Inflation<\/h3>\n\n\n\n
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\n\n\n\n7. Real Growth Factor<\/h3>\n\n\n\n
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\n\n\n\nKey Takeaways<\/h3>\n\n\n\n
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