# Real Returns Calculator

Use this real returns calculator to check how effective a  financial instruments is in protecting the purchasing power of a lumpsum from inflation.

The reserve bank of India has announced the issue of inflation linked bonds in which a lumpsum invested for 10 years will receive an interest equal to 1.5% + ‘change’ in the consumer priced index (CPI).

This change in the CPI is explained quite well here: Inflation Indexed Securities: Buy if at Lower Tax Slabs

Unfortunately, income from these bonds will be taxed as per income slab on maturity. So if you think the buying power of your lump sum will be protected from inflation, think again.

You will need to calculate the  real return after taking taxes into account to check if the buying power has been protected from inflation.

What is a real return? A real return is the return from a financial instrument after accounting for inflation and taxes. Most discussions of real return ignore taxes and simply account for inflation.

A real return gives an idea of how much the purchasing power of a lump sum has changed upon maturity of a financial instrument.

The post-tax real return is calculated as shown in the picture

If the real return is 1%(-1%)  then the purchasing power of the lump sum has enhanced (diminished) by 1%  (-1%).

• If the real return is zero, the purchasing power of the lump sum is unchanged. That is inflation and taxes have exactly nullified the return from the financial instrument.
• Intuitively, it is clear that because of the nature of taxation (as per slab), the real post-tax return from these inflation indexed bonds will be quite low.
• The above post-tax return is valid if tax is paid as per slab each financial year.
• If tax is paid as per slab upon maturity, the formula is (thanks to Ronnie Joshua Reuben for pointing out an error)

post-tax-return =[(1+return)^duration x (1-tax)]^(1/duration) -1

Here is a real returns calculator with which you can access the effectiveness of these RBI inflation indexed bonds or any other financial instrument in protecting the purchasing power of a lumpsum from inflation. Both types of post-tax return computation are included.

Notes:

• The calculator can be used for any financial instrument. Set the base interest rate (1.5% for inflation indexed bonds) to zero for other financial instruments.
• The calculator gives you only estimate. For inflation indexed bonds, the net pre-tax return will be known only on maturity and will be determined by the course of inflation.
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## 18 thoughts on “Real Returns Calculator”

1. Ashal jauhari says:

Dear Pattu, an important post just in time. Not many people give a thought to real return after Inflation and taxation.

thanks

Ashal

1. pattu says:

Many thanks Ashal. The problem is many financial professional do not use post-tax return for calculating real return.

2. Ashal jauhari says:

Dear Pattu, an important post just in time. Not many people give a thought to real return after Inflation and taxation.

thanks

Ashal

1. pattu says:

Many thanks Ashal. The problem is many financial professional do not use post-tax return for calculating real return.

3. AyushP306 says:

Real Returns Calculator is amazing ! Really liked it .. : )

1. pattu says:

Many thanks Ayush.

4. AyushP306 says:

Real Returns Calculator is amazing ! Really liked it .. : )

1. pattu says:

Many thanks Ayush.

5. Udaya Chandran says:

Thanks for the calculator. I’d like to share this calculator on my blog http://www.finsoso.com. I’d like to have your permission for this. Please let me know your consent.

1. pattu says:

6. Udaya Chandran says:

Thanks for the calculator. I’d like to share this calculator on my blog http://www.finsoso.com. I’d like to have your permission for this. Please let me know your consent.

1. pattu says:

7. Udaya Chandran says:

Thanks!

8. Udaya Chandran says:

Thanks!

9. Ronnie Joshua Reuben says:

Sir can you help me understand the POST TAX RETURN on MATURITY FORMULA, i see that it is some what similar to the effective rate of interest formula but (+ tax term) I fail to understand. If you can hint me towards the source then i will surely look into that. Thanks!!

1. pattu says:

Hi Ronnie, you are correct about the + tax term. It is wrong. I have corrected the equation and the excel file. Thank you so much. Here is the math for those interested.

maturity =investment x (1+return)^duration
maturity(post-tax) = (investment x (1+return)^duration) x (1-tax)
maturity(post-tax)= investment x (1+post-tax-return)^duration
So
investment x (1+post-tax-return)^duration =(investment x (1+return)^duration) x (1-tax)
(1+post-tax-return)^duration =(1+return)^duration x (1-tax)
post-tax-return =[(1+return)^duration x (1-tax)]^(1/duration) -1

10. Ronnie Joshua Reuben says:

Sir can you help me understand the POST TAX RETURN on MATURITY FORMULA, i see that it is some what similar to the effective rate of interest formula but (+ tax term) I fail to understand. If you can hint me towards the source then i will surely look into that. Thanks!!

1. pattu says:

Hi Ronnie, you are correct about the + tax term. It is wrong. I have corrected the equation and the excel file. Thank you so much. Here is the math for those interested.

maturity =investment x (1+return)^duration
maturity(post-tax) = (investment x (1+return)^duration) x (1-tax)
maturity(post-tax)= investment x (1+post-tax-return)^duration
So
investment x (1+post-tax-return)^duration =(investment x (1+return)^duration) x (1-tax)
(1+post-tax-return)^duration =(1+return)^duration x (1-tax)
post-tax-return =[(1+return)^duration x (1-tax)]^(1/duration) -1