What is the Total Return Index?

Total Return Index Formula

The Total Return Index formula is represented as below –

Total Return Index = Previous TR * [1+(Today’s PR Index +Indexed Dividend/Previous PR Index-1)]

Total Return Index Calculation

A total return index calculation can be from values of dollars, euros, or other currencies. To calculate the TRI first, we need to account for the dividend paid. The first step is to divide the dividends paid over time with the same divisor, which is used to calculate the points related to the index, or this is also called the base cap of the index. It gives us the value of the dividend paid out per point of the index, which is represented by the equation below:

Indexed dividend (Dt) = Dividend Paid out / Base Cap Index

The second step is combining the dividend and price change index to adjust the price return index for the day. The below formula can be used to do so:

(Today’s PR Index +Indexed Dividend)/Previous PR Index

Lastly, the total return index is calculated by applying the adjustments to the price return index to the total return index, which accounts for the full history of payment of dividends. This value is multiplied by the earlier day’s TRI index. It can be represented as below:

Total Return Index = Previous TRI * [1+ {(Today’s PR Index +Indexed Dividend)/Previous PR Index}-1]

So, TRI calculation involves a three-step process: determining the dividend per index point, adjusting the price return index, and applying the adjustment to an earlier day’s TRI index level.

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Example of Total Return Index

Let us consider an example London Stock Exchange as a single unit stock, and we invest in it. This stock was purchased in the year 2000, and in 2001 a dividend of 0.02 GBP was issued for the stock. The stock price after the dividend was issued took it to 5 GBP. We can now imagine that whatever dividend was issued was utilized to purchase more of the stocks of LSE at the same price bandPrice BandThe price band refers to an underlying security’s fixed value range specified by the stock exchange or seller.read more of 5 GBP. Therefore we can now purchase 0.02/5 = 0.004 shares of LSE, which takes 1.004 shares. Thus TRI at this level can be calculated as 5*1.004= 5.02

In the second-year 2002, the stock issued a fresh dividendDividendDividends refer to the portion of business earnings paid to the shareholders as gratitude for investing in the company’s equity.read more again where the share prices are supposed to be constant at 0.002 GBP. At present, we are the owners of 1.004 shares. The total dividend thus calculated is 1.004*0.02 = 0.002008 GBP. It is reinvested in the same stock whose current price is 5.2 GBP. Now the number of shares held will become 1.008. The TRI now will thus turn out to be 5.2 * 1.008 = 5.24

We need to do the same for every period. Therefore, at the end of the cumulative number of the period, we can easily plot a graph of the TRI level or calculate the required TRI for that period using the formula mentioned above, taking into account the previous period TRI and current TRI.

Total Return Index vs. Price Return Index

  • The total return index includes both the movement of prices or the capital gain/loss and the dividend received from the security. In contrast, the price return index only considers the movement of a price or the capital gain/loss and not the dividend received.TRI gives a more realistic picture of the return from the stock as it includes all the constituents associated with it like price changePrice ChangePrice change in finance is the difference between the initial and final values of an asset, security, or commodity over a particular trading period.read more, interest, and dividend. In contrast, PRI only details the movement of prices, which is not the real return from the stock.TRI is more of the latest approach as to how investors benchmark their mutual fundsMutual FundsA mutual fund is a professionally managed investment product in which a pool of money from a group of investors is invested across assets such as equities, bonds, etcread more because it helps them to assess the fund in a better manner since the NAV of a mutual fund portrays not only the capital loss/gain in the portfolio but also the dividend received from the holdings in the portfolio. In contrast, PRI is more of the traditional approach where mutual funds benchmark against price changes only about the number of securities driving a mutual fund.TRI is more transparent, and the credibility of the stocks or funds has increased a lot. In contrast, PRI is more of a misleading scenario because it overstates the performance of a mutual fund, which attracts a lot of investors to invest in the specific fund without understanding the real scenario.

TRI Impact on Mutual Fund Investors

Total return index usage over the Price return index can broadly affect the long-term strategies of investors. It plays a crucial role in active investments in passive investmentsPassive InvestmentsPassive investing is a strategy used by investors to maximize their returns by avoiding frequent portfolio churning by buying and selling securities and instead buying and holding a diverse range of securities.read more made. Taking an average count, it is seen that components of the index will earn around a 2 % dividend yearly. When we take the PRI approach, this return is not included in the comparison of mutual funds.

One good thing about TRI on mutual fund investors is that the money invested will no longer be locked behind inaccurate benchmarks. Thus, the return is minimized or understated by 2% annually in the PRI approach. With the TRI approach, investors will see that the index’s performance has gone up by 2% by considering the TRI approach rather than taking into account the PRI approach.

Conclusion

 The total return index is a useful benchmark for finding out the actual return generated for constituents of a stock or a mutual fund. It is the constituent of the return of an index, the paid dividends, and the dividends that are reinvested back into the index. It is a handy measure because it states what the investor is taking back or getting in return from the investment made.

In all major developed markets, all mutual funds these days are marked against the total return index, which was previously benchmarked against the price return index. Even in cases of equity funds, when it comes to the growth option of the fund, it’s mandatory to consider the dividend it generated but did not distribute from its underlying companies. Thus TRI comes into a bigger picture when the actual return from the equity fund is to be computed.

This article has been a guide to the Total Return Index. Here we discuss the formula to calculate the total return index along with its example and its differences from the price return index. You can learn more from the following articles-

  • Defensive IndustriesFormula for Total ReturnHow to Calculate Capital Loss?Index Funds DefinitionPrice-Weighted Index