First published in The Statesman, August 29 2007, Frontpage comment,
The West Bengal Government and Tata Motors have come into what appears to be a most bizarre financial agreement regarding 645.67 acres of agricultural land in Singur. What we are told from court documents submitted on August 27 by Tata’s counsel Mr Samaraditya Pal to the Honourable Division Bench of the Chief Justice Mr SS Nijjar and Mr Justice Pinaki Chandra Ghose is that a complicated schedule of payments is being planned for 90 years.
First there is a plan for 30 years with changes occurring every five years, then there is a plan for another 30 years with changes occurring every ten years, and finally there is a plan for the last 30 years with no changes occurring at all. 90 years is a very long time. A child born today will likely not be alive when this agreement comes to end though his/her grandchildren could be.
Tata Motors itself is hardly today what it was ten years ago and is unlikely to be the same corporate body 50 or 90 years from now. The political entities known as West Bengal or for that matter the Republic of India itself may well be very different in 2047, one hundred years after Independence, let alone in 2097 when this purported agreement shall end. 90 years ago the Ford Motor Company was mass-producing its famous Model-T – any product that Tata Motors produces at Singur today is hardly going to be the same 90 years from now. Our great grand children may look back at all this when the agreement ends and say it all looks pretty ridiculous in retrospect.
Even so, the numbers that have been now released to the Honourable Court allow some simple calculations to take place. The first point is that a payment made in 2007 cannot be added directly to a payment made in 2008 or to one in 2009, etc. It is meaningless to do so. However, if, say, Rs 1000 is paid in each of these years, and the market interest-rate is, say, 10%, what we may do is add Rs. 1000 with Rs. 1000/(1.1) with Rs. 1000/(1.1) squared to obtain a summable stream of Rs. 1000+Rs.909+Rs826 = Rs. 2735.
That sum of Rs 2735 is the present-value of the stream of three payments of Rs 1000 in each of three years given a constant interest-rate of 10%. On such a basis, given the payment-structure stated to the Honourable Court by Tata Motors, and assuming a constant interest-rate of 8% per annum in each year for the next 90 years, the present-value of all the payments to be made by Tata to West Bengal for the 645.67 acres of Singur land comes to Rs. 274.13 million (Rs. 27.413 crore), or a price of about Rs. 0.4246 million (Rs. 4.246 lakh) per acre. That is the effective market price of the land as valued in the contract, assuming a constant interest-rate of, say, 8%. (If a variable market-determined interest-rate had been used e.g. some rate added to the London InterBank Offer Rate in a given year, we could not make such a calculation today.)
If we further assume that the value of paper-money relative to land and goods and services in general may itself deteriorate through inflation, this figure would change. If, for example, we assume a low rate of inflation of 4% per annum for each of 90 years, that would mean the relevant interest-rate to discount the stream of payments would have to be 8%+4% = 12%. On that assumption, the present value of the entire stream of payments proposed to be made by Tata to West Bengal comes to Rs. 140 million in current rupees, and the price per acre of land becomes Rs 0.217 million or Rs. 2.17 lakhs. If the rate of inflation was high, say 10% per annum, the present value becomes Rs. 81.7 million and the price per acre of land being paid by Tata Motors is Rs 0.126 million or Rs. 1.26 lakhs. In other words, the higher the rate of paper-money inflation that occurs in the future, the cheaper Tata has obtained the land (and, conversely, the worse off the original peasant owners of the land who have been left with paper money paid to them by the West Bengal Government).
The point is also clear that the higher the rate at which one discounts the future, the lower shall be the present-value of the land. And also the higher this discount-rate, the more irrelevant the future becomes to present decision-making.
It is astonishing that neither Tata Motors’ high-powered MBA embellished management cadre nor anyone entrenched in the Marxist academic or policy establishment of West Bengal seems to have made such obvious calculations for the Honourable Court to understand things easily. Instead they have “added” the total payments to be made “raw” and said that some Rs. 8.558 billion (Rs. 855.8 crores) is due to be paid over 90 years – a meaningless statement because no such addition over time makes any financial sense at all. Are there no Marxist MBAs, or are all MBAs being mistaught the basics in their finance-courses?
The search engine above should locate any article by its title; the Index and Archives may be used as well.
Readers are welcome to quote from my work under the normal “fair use” rule, but please try to quote me by name and indicate the place of original publication in case of work being republished here. I am at Twitter @subyroy, see my latest tweets above