# Real Returns Calculator – RBI Inflation Linked Bonds

Use this real returns calculator to check how effective RBI inflation indexed Bonds/other financial instruments are 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 lumpsum 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.
• Ruppee symbol courtesy: Wiki Commons. The arrow is my handiwork

### Thank you for reading. You may also like

Freefincal has open-source, comprehensive Excel spreadsheets, tools, analysis and unbiased, conflict of interest-free commentary on different aspects of personal finance and investing. If you find the content useful, please consider supporting us by (1) sharing our articles and (2) disabling ad-blockers for our site if you are using one. We do not accept sponsored posts, links or guest posts request from content writers and agencies.

### Blog Comment Policy

Your thoughts are vital to the health of this blog and are the driving force behind the analysis and calculators that you see here. We welcome criticism and differing opinions. I will do my very best to respond to all comments asap. Please do not include hyperlinks or email ids in the comment body. Such comments will be moderated and I reserve the right to delete  the entire comment or remove the links before approving them.

## 18 thoughts on “Real Returns Calculator – RBI Inflation Linked Bonds”

1. Ashal jauhari

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

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

2. Ashal jauhari

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

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

3. Ronnie Joshua Reuben

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

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

4. Ronnie Joshua Reuben

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

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