{"id":6431,"date":"2025-05-05T19:33:26","date_gmt":"2025-05-05T14:03:26","guid":{"rendered":"https:\/\/www.torusdigital.com\/toruscope\/?p=6431"},"modified":"2025-06-26T17:50:37","modified_gmt":"2025-06-26T12:20:37","slug":"time-weighted-rate-of-return","status":"publish","type":"post","link":"https:\/\/www.torusdigital.com\/toruscope\/online-trading\/time-weighted-rate-of-return\/","title":{"rendered":"What Is Time Weighted Rate of Return &#038; How Is It Calculated?"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p><span style=\"font-weight: 400;\">When you\u2019re tracking investment performance, <strong><a href=\"https:\/\/www.torusdigital.com\/toruscope\/banking\/what-is-cash-deposit\/\">cash deposits<\/a><\/strong> and withdrawals can skew your returns, making it hard to judge how well your portfolio is really doing.\u00a0That\u2019s where the <\/span><b>Time-Weighted Rate of Return <\/b><span style=\"font-weight: 400;\">(TWRR) comes in.\u00a0TWRR isolates your portfolio\u2019s performance by removing the impact of cash inflows and outflows.\u00a0This gives a better picture of how your investments or fund manager are truly performing.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In this article, we\u2019ll break down how TWRR works and show you exactly how to calculate it with the help of real-world examples.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_Is_the_Time-Weighted_Rate_of_Return\"><\/span><b>What Is the Time-Weighted Rate of Return?<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><b>Time-weighted rate of return<\/b><span style=\"font-weight: 400;\"> is a calculation method used for measuring the compound growth rate of an investment portfolio over time. In other words, (TWR) provides the compound growth rate of each fund after eliminating the effects of deposits and withdrawals. It splits the portfolio&#8217;s return into sub-periods based on the investments and redemptions made throughout the investment.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Moreover, this financial metric removes the twisted effects of growth rates created by external cash flows, providing a more accurate measure of portfolio performance. The <\/span><b>time-weighted rate of return<\/b><span style=\"font-weight: 400;\"> is also known as the geometric mean, as it multiplies all the sub-periods to generate the rate for the whole period.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Remember, there is a difference between time-weighted return and annual rate of return, which is the percentage of profit and loss generated from an investment over a certain period.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Importance_of_TWR\"><\/span><b>Importance of TWR<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">In any investment portfolio, frequent deposits and withdrawals can make it difficult to accurately calculate the overall rate of return. Due to these cash flows, simply comparing the starting and ending balances doesn\u2019t provide a clear picture, as the ending balance reflects both investment performance and the effects of cash inflows and outflows.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">This is where the <\/span><b>time-weighted rate of return<\/b><span style=\"font-weight: 400;\"> (TWRR) proves useful. TWRR calculates the return for each period between cash flow events, effectively isolating the portfolio&#8217;s actual performance. By breaking down the total return into individual time segments, TWRR provides a more accurate and consistent measure of investment performance.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Formula_for_Calculating_TWR\"><\/span><b>Formula for Calculating TWR<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Calculation of the <\/span><b>time-weighted rate of return<\/b><span style=\"font-weight: 400;\"> formula for a certain period is done as below-<\/span><\/p>\n<p><b>Time-weighted return formula = (Ending value &#8211; beginning value) \/ beginning value<\/b><\/p>\n<p><span style=\"font-weight: 400;\">For example &#8211;\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Vivek invested \u20b960,000 in a <\/span><a href=\"https:\/\/www.torusdigital.com\/mutual-funds\"><span style=\"font-weight: 400;\">mutual fund<\/span><\/a><span style=\"font-weight: 400;\"> on 1 January 2019. On 31 December 2019, his portfolio stood at \u20b961,000.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Let\u2019s put these numbers into the formula-<\/span><\/p>\n<p><span style=\"font-weight: 400;\">TWR = (61,000 &#8211; 60,000) \/ 60,000<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Therefore, TWR = 0.0167 = 1.6%<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The TWR formula is useful for calculating each sub-period when new investments or redemptions are made.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Thus, the <\/span><b>time-weighted rate of return<\/b><span style=\"font-weight: 400;\"> formula is useful when multiple sub-periods are involved and is given below &#8211;\u00a0<\/span><\/p>\n<p><b>Time-weighted return formula = [(1 + rate of return from the 1st period) x (1 + rate of return from the 2nd period) x\u2026x (1 + rate of return from the nth period)] &#8211; 1<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Let\u2019s understand the above formula with the help of an example &#8211;\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Vivek, after receiving \u20b961,000 on 31 December 2019, invested a further amount of \u20b930,000 on 1 January 2020. On 31 December 2020, his portfolio was valued at \u20b995,000. But he later withdrew \u20b920,000 from his investment on 1 January 2021. Now, on 31 December 2021, his portfolio valuation will be \u20b977,000.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The <\/span><b>time-weighted rate of return<\/b><span style=\"font-weight: 400;\"> calculation for each of the three sub-periods is given below-<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\">1 January 2019 to 31 December 2019 (already calculated) is 2%<\/span><\/li>\n<li><span style=\"font-weight: 400;\">1st January 2020 to 31st December 2020<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">During the second sub-period, Vivek invested an additional amount of \u20b930,000 into his portfolio, which was valued at \u20b990,000 at the end of the year.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">So,\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">TWR = [95,000 \u2013 (61,000 + 30,000)] \/ 91,000<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Therefore, TWR = 0.044 = 4.4%<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\">1st January 2021 to 31st December 2021.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">On 1st January 2021, Vivek withdrew Rs 20,000 from his investment portfolio. As a result, the valuation dropped to Rs 75,000 (95,000 \u2013 20,000). At the end of 2021, his investment was worth Rs 77,000.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">So,<\/span><\/p>\n<p><span style=\"font-weight: 400;\">TWR = (77,000 \u2013 75,000) \/ 75,000<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Therefore, TWR = 0.027 = 2.7%<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Now, by applying the formula, we will link all the sub-period returns. Therefore, we get the <\/span><b>time-weighted rate of return<\/b><span style=\"font-weight: 400;\">, which is given below-<\/span><\/p>\n<p><span style=\"font-weight: 400;\">TWR = (1 + 1.6%) x (1 + 4.4%) x (1 + 2.7%) &#8211; 1\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Therefore, the TWR = 8.7%<\/span><\/p>\n<p><span style=\"font-weight: 400;\">This rate represents the whole period, not an annual rate, but it can be calculated annually as well.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Factors_for_Time_Weighted_Return_Calculation_and_the_Time_Weighted_Return_Formula\"><\/span><b>Factors for Time Weighted Return Calculation and the Time Weighted Return Formula<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">To understand the mechanics of TWRR in depth, let\u2019s look at the key factors included in its calculation and formula:<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\">One of the key factors is that sub-periods must be similar in order to help compare different investment portfolios.<\/span><\/li>\n<li>Valuation of investment is vital to mark the commencement of a new sub-period after a deposit or redemption has been made.<\/li>\n<li>It is necessary to assume that all the returns are reinvested in a portfolio.<\/li>\n<li>To calculate return in each sub-period, subtract the value at the start of the period from the value at the end of the period.<\/li>\n<li>To complete the calculation, link the rates of all sub-periods together multiplicatively:<\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><b>Time-Weighted Rate of Return<\/b><span style=\"font-weight: 400;\"> = [(1+ R1) \u00d7 (1+ R2) \u00d7\u2026\u2026\u2026.\u00d7 (1+ Rn)] \u2013 1<\/span><\/p>\n<p><span style=\"font-weight: 400;\">This compounded return gives a clear and accurate picture of your investment performance, devoid of any influence from investor-driven cash flows.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Conclusion\"><\/span><b>Conclusion<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">TWRR is calculated to evaluate the performance of the investment portfolio. It ensures an accurate comparison of returns in the portfolio by removing the effect of external cash flows. It is highly useful in assessing fund managers&#8217; performances, whether against other funds or benchmark indices, or different types of investments. TWR provides an accurate and clear view of portfolio growth over time.<\/span><\/p>\n<p><meta property=\"og:title\" content=\"What Is Time Weighted Rate of Return (TWRR)?\"> <meta property=\"og:site_name\" content=\"Torus Digital\"> <meta property=\"og:url\" content=\"https:\/\/www.torusdigital.com\/toruscope\/online-trading\/time-weighted-rate-of-return\/\"> <meta property=\"og:description\" content=\"Learn what time-weighted rate of return means, how it differs from other return metrics, and why it\u2019s ideal for comparing investment performance over time.\"> <meta property=\"og:type\" content=\"website\"> <meta property=\"og:image\" content=\"https:\/\/www.torusdigital.com\/toruscope\/wp-content\/uploads\/2025\/05\/time-weighted-rate-of-return.webp\"><\/p>\n<p><meta name=\"twitter:card\" content=\"summary\"> <meta name=\"twitter:site\" content=\"Torus Digital\"> <meta name=\"twitter:title\" content=\"What Is Time Weighted Rate of Return (TWRR)?\"> <meta name=\"twitter:url\" content=\"https:\/\/www.torusdigital.com\/toruscope\/online-trading\/time-weighted-rate-of-return\/\"> <meta name=\"twitter:description\" content=\"Learn what time-weighted rate of return means, how it differs from other return metrics, and why it\u2019s ideal for comparing investment performance over time.\"> <meta name=\"twitter:image\" content=\"https:\/\/www.torusdigital.com\/toruscope\/wp-content\/uploads\/2025\/05\/time-weighted-rate-of-return.webp\"><\/p>\n<p><script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"BlogPosting\",\n  \"mainEntityOfPage\": {\n    \"@type\": \"WebPage\",\n    \"@id\": \"https:\/\/www.torusdigital.com\/toruscope\/online-trading\/time-weighted-rate-of-return\/\"\n  },\n  \"headline\": \"What Is Time Weighted Rate of Return (TWRR)?\",\n  \"description\": \"Learn what time-weighted rate of return means, how it differs from other return metrics, and why it\u2019s ideal for comparing investment performance over time.\",\n  \"image\": \"https:\/\/www.torusdigital.com\/toruscope\/wp-content\/uploads\/2025\/05\/time-weighted-rate-of-return.webp\",  \n  \"author\": {\n    \"@type\": \"Organization\",\n    \"name\": \"Torus Digital\",\n    \"url\": \"https:\/\/www.torusdigital.com\/\"\n  },  \n  \"publisher\": {\n    \"@type\": \"Organization\",\n    \"name\": \"Torus Digital\",\n    \"logo\": {\n      \"@type\": \"ImageObject\",\n      \"url\": \"https:\/\/www.torusdigital.com\/toruscope\/wp-content\/uploads\/2025\/05\/time-weighted-rate-of-return.webp\"\n    }\n  },\n  \"datePublished\": \"2025-05-05\",\n  \"dateModified\": \"2025-06-25\"\n}\n<\/script><\/p>\n<p><script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\/\", \n  \"@type\": \"BreadcrumbList\", \n  \"itemListElement\": [{\n    \"@type\": \"ListItem\", \n    \"position\": 1, \n    \"name\": \"Home\",\n    \"item\": \"https:\/\/www.torusdigital.com\/\"  \n  },{\n    \"@type\": \"ListItem\", \n    \"position\": 2, \n    \"name\": \"Toruscope\",\n    \"item\": \"https:\/\/www.torusdigital.com\/toruscope\/\"  \n  },{\n    \"@type\": \"ListItem\", \n    \"position\": 3, \n    \"name\": \"Online Trading\",\n    \"item\": \"https:\/\/www.torusdigital.com\/toruscope\/online-trading\/\"  \n  },{\n    \"@type\": \"ListItem\", \n    \"position\": 4, \n    \"name\": \"What Is Time Weighted Rate of Return (TWRR)?\",\n    \"item\": \"https:\/\/www.torusdigital.com\/toruscope\/online-trading\/time-weighted-rate-of-return\/\"  \n  }]\n}\n<\/script><\/p>\n<p><script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [{\n    \"@type\": \"Question\",\n    \"name\": \"How to calculate time-weighted return?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The formula to calculate time-weighted return is: TWR = [(1+ R1) \u00d7 (1+ R2) \u00d7\u2026\u2026\u2026.\u00d7 (1+ Rn)] \u2013 1<\/p>\n<p>Where R1, R2, Rn = Sub-periods return rate\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"Explain the difference between TWRR and XIRR\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"TWRR (Time-Weighted Rate of Return) and XIRR (Extended Internal Rate of Return) are both used to measure the return on investments. However, there is a difference between them in how they handle cash flows. TWRR does not include the timing and amount of cash inflows and outflows, focusing completely on the compounding growth rate of the investment over time. <\/p>\n<p>On the flip side, XIRR take in both the time and the amount of all the cash flows to give a more accurate reflection of an investor\u2019s actual return, especially when there are multiple investments and withdrawals at different times.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"Describe the difference between TWRR and IRR.\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"TWRR and IRR (Internal Rate of Return) both are used to calculate investment returns, but there is a difference in how they are calculated for cash flows. TWRR calculates the compounded growth of an investment without taking into consideration factors like time and cash inflows and outflows, primarily focusing on investment performance.  <\/p>\n<p>Conversely, IRR considers the time and amount of all cash flows, including deposits and withdrawals, to evaluate the annualised return on an investment. The discount rate sets the net present value of all cash flows equal to zero.\"\n    }\n  }]\n}\n<\/script><\/p>\n<div class=\"cscra-social square cscra-socials-679c8a1122c00\">\n        <a href=\"\/\/www.facebook.com\/sharer\/sharer.php?u=https%3A%2F%2Fwww.torusdigital.com%2Ftoruscope%2Fonline-trading%2Ftime-weighted-rate-of-return%2F&t=What+Is+Time+Weighted+Rate+of+Return+%26%23038%3B+How+Is+It+Calculated%3F\" class=\"facebook\" data-toggle=\"tooltip\" data-placement=\"top\" title=\"Share On Facebook\" target=\"_blank\"><i class=\"fa fa-facebook\"><\/i><\/a>\n        <a href=\"\/\/twitter.com\/intent\/tweet?text=What+Is+Time+Weighted+Rate+of+Return+%26%23038%3B+How+Is+It+Calculated%3F&url=https%3A%2F%2Fwww.torusdigital.com%2Ftoruscope%2Fonline-trading%2Ftime-weighted-rate-of-return%2F\" class=\"twitter\" data-toggle=\"tooltip\" data-placement=\"top\" title=\"Share On Twitter\" target=\"_blank\"><i class=\"fa-brands fa-x-twitter\"><\/i><\/a>\n        <a href=\"https:\/\/api.whatsapp.com\/send?text=What+Is+Time+Weighted+Rate+of+Return+%26%23038%3B+How+Is+It+Calculated%3F - https%3A%2F%2Fwww.torusdigital.com%2Ftoruscope%2Fonline-trading%2Ftime-weighted-rate-of-return%2F\" class=\"whatsapp\" data-toggle=\"tooltip\" data-placement=\"top\" title=\"Share On WhatsApp\" target=\"_blank\"><i class=\"fa fa-whatsapp\"><\/i><\/a>\n        <a href=\"\/\/www.linkedin.com\/shareArticle?mini=true&url=https%3A%2F%2Fwww.torusdigital.com%2Ftoruscope%2Fonline-trading%2Ftime-weighted-rate-of-return%2F&title=What+Is+Time+Weighted+Rate+of+Return+%26%23038%3B+How+Is+It+Calculated%3F\" class=\"linkedin\" data-toggle=\"tooltip\" data-placement=\"top\" title=\"Share On Linkedin\" target=\"_blank\"><i class=\"fa fa-linkedin\"><\/i><\/a>\n    <\/div>[vc_row_inner el_id=&#8221;faq_blog&#8221;][vc_column_inner][vc_custom_heading text=&#8221;Frequently Asked Questions&#8221; font_container=&#8221;tag:h2|text_align:left|color:%23001316&#8243; use_theme_fonts=&#8221;yes&#8221; css=&#8221;&#8221;][\/vc_column_inner][\/vc_row_inner][vc_tta_accordion active_section=&#8221;1&#8243; el_id=&#8221;faq&#8221;]<\/p>\n<p>[vc_tta_section title=&#8221;How to calculate time-weighted return?&#8221; tab_id=&#8221;faq-twrr-1&#8243;]<br \/>\n[vc_column_text css=&#8221;&#8221;]The formula to calculate time-weighted return is:<br \/>\nTWR = [(1 + R1) \u00d7 (1 + R2) \u00d7 \u2026 \u00d7 (1 + Rn)] \u2013 1<br \/>\nWhere R1, R2, &#8230;, Rn represent returns of each sub-period.[\/vc_column_text]<br \/>\n[\/vc_tta_section]<\/p>\n<p>[vc_tta_section title=&#8221;Explain the difference between TWRR and XIRR.&#8221; tab_id=&#8221;faq-twrr-2&#8243;]<br \/>\n[vc_column_text css=&#8221;&#8221;]TWRR ignores cash flow timing and focuses only on the investment&#8217;s performance. XIRR, on the other hand, includes both the timing and amount of cash flows to reflect the actual return.[\/vc_column_text]<br \/>\n[\/vc_tta_section]<\/p>\n<p>[vc_tta_section title=&#8221;Describe the difference between TWRR and IRR.&#8221; tab_id=&#8221;faq-twrr-3&#8243;]<br \/>\n[vc_column_text css=&#8221;&#8221;]TWRR focuses on investment performance, excluding cash flows. IRR calculates the annualised return by considering all deposits and withdrawals, using a discount rate that sets NPV to zero.[\/vc_column_text]<br \/>\n[\/vc_tta_section]<\/p>\n<p>[vc_tta_section title=&#8221;Why is TWRR considered better for fund performance?&#8221; tab_id=&#8221;faq-twrr-4&#8243;]<br \/>\n[vc_column_text css=&#8221;&#8221;]TWRR isolates the impact of the fund manager\u2019s performance by excluding the influence of investor-driven cash flows. This makes it ideal for comparing fund manager efficiency.[\/vc_column_text]<br \/>\n[\/vc_tta_section]<\/p>\n<p>[vc_tta_section title=&#8221;When should you use TWRR over other return metrics?&#8221; tab_id=&#8221;faq-twrr-5&#8243;]<br \/>\n[vc_column_text css=&#8221;&#8221;]Use TWRR when you want to evaluate portfolio performance independently of cash flow timings, especially useful for comparing mutual funds or professional investment managers.[\/vc_column_text]<br \/>\n[\/vc_tta_section]<\/p>\n<p>[\/vc_tta_accordion]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"When you\u2019re tracking investment performance, cash deposits and withdrawals can skew your returns, making it hard to judge how well your portfolio is really doing.\u00a0That\u2019s where the Time-Weighted Rate of Return (TWRR) comes in.\u00a0TWRR isolates your portfolio\u2019s performance by removing the impact of cash inflows and outflows.\u00a0This gives a better picture of how your investments","protected":false},"author":1,"featured_media":10235,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","footnotes":""},"categories":[277],"tags":[],"class_list":["post-6431","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-online-trading"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What Is Time Weighted Rate of Return (TWRR)?<\/title>\n<meta name=\"description\" content=\"Learn what time-weighted rate of return means, how it differs from other return metrics, and why it\u2019s ideal for comparing investment performance over time.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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