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045

Case 045DCF and intrinsic valueCore

Value a regulated water utility from its regulated asset base, express the answer as a multiple of that base, and explain what the premium means.

1The situation

Alvasa Water Utility supplies water to two cities under a regulated tariff. Its regulator sets prices so that Alvasa earns a 10% return on a regulated asset base of Rs 2,000 crore, and also recovers depreciation of 5% of the base each year through the tariff. Alvasa must keep investing: the base grows 4% a year as new pipes and treatment plants are added, and the regulator expects that to continue indefinitely.

Alvasa's WACC is 8.5%. For the interview, treat the allowed return as earned in cash each year and ignore tax, which the tariff is assumed to pass through.

2Your task

What is Alvasa worth, what is that as a multiple of its asset base, and what does the premium over the base actually represent?

Quick check

What should a regulated utility be worth relative to its asset base?

Worked solution

Try it on paper, then open one step at a time.

30-second answerThe answer to give first

Alvasa is worth about Rs 2,667 crore, 1.33x its Rs 2,000 crore asset base. Year 1 cash flow is the Rs 200 crore allowed return plus Rs 100 crore of depreciation less Rs 180 crore of capex, Rs 120 crore, growing 4% and discounted at 8.5%. The Rs 667 crore premium is the present value of the 1.5 points by which the allowed return beats WACC; at an allowed return of 8.5% the business would be worth exactly its base.

Step 1What cash does a regulated asset base actually throw off?

Think of a landlord whose rent is set by a rent board: the board allows a return on what the building cost, plus money to keep it repaired. Alvasa's cash flow each year is the allowed return on the base plus the depreciation it recovers through the tariff, less the capex it must spend to replace assets and grow the base. On Rs 2,000 crore that is Rs 200 crore of return plus Rs 100 crore of depreciation, less Rs 180 crore of capex (Rs 100 crore to replace what depreciated and Rs 80 crore to grow the base 4%), leaving Rs 120 crore. Notice that depreciation and replacement capex cancel: free cash flow is simply the base times the allowed return less the growth rate, 6% of Rs 2,000 crore.

YearOpening baseReturn at 10%DepreciationCapexFree cash flowClosing base
12,000.0200.0100.0180.0120.02,080.0
22,080.0208.0104.0187.2124.82,163.2
32,163.2216.3108.2194.7129.82,249.7
Rs crore. Alvasa's free cash flow is 6% of its opening asset base every year, Rs 120 crore in year 1 growing 4% with the base, because depreciation recovered through the tariff exactly funds replacement capex.
Step 2Why does the value come out as a clean multiple of the base?

Because every line scales with the base, the whole valuation collapses to one ratio. Cash flow of (return less growth) times the base, growing at the growth rate and discounted at WACC, gives a value of the base times (return less growth) over (WACC less growth): 6% over 4.5%, or 1.333x. That is Rs 2,667 crore. The regulated asset baseThe value of the assets of a utility that the regulator recognises when setting tariffs; the allowed return is earned on this figure, not on market value. works like book value for a bank: the market pays a premium or discount to it depending on whether the allowed return beats the cost of capital.

The relationship
VRAB=r−gWACC−g=0.10−0.040.085−0.04=1.333V=2,000×1.333=2,667\frac{V}{RAB} = \frac{r - g}{WACC - g} = \frac{0.10 - 0.04}{0.085 - 0.04} = 1.333 \qquad V = 2{,}000 \times 1.333 = 2,667
rallowed return on the regulated asset base
ggrowth of the base through net new investment
WACCAlvasa's cost of capital, 8.5%
RABthe regulated asset base, Rs 2,000 crore
What it says in wordsA regulated business is worth its asset base scaled by the spread of its allowed return over growth, divided by the spread of its cost of capital over growth.
Value over regulated asset base against the spread of allowed return over WACC, growth 4%Allowed return below WACC:worth less than its base0.5x1.0x1.5x-2%-1%0+1%+2%+3%allowed return less WACC, percentage pointsReturn equals WACC: worth exactly its base, 1.0xAlvasa: +1.5 points, 1.33x, Rs 2,667 crorepremium of Rs 667 crore over the baseslope 0.22x per point of spread= 1 / (WACC less growth)
With growth fixed at 4%, Alvasa's value is 1.0x its asset base when the allowed return equals WACC and rises 0.22x for each point of spread, so a 1.5 point spread puts it at 1.33x, a premium of Rs 667 crore.
Step 3What does the premium mean, and what could take it away?

Rewrite the answer as base plus something. The Rs 667 crore premium is exactly the present value of Alvasa earning 1.5 points more than its cost of capital on a growing base: Rs 30 crore in year 1, growing 4%, discounted at 8.5%, is Rs 667 crore. So the premium is a bet on the regulator, not on the pipes. If the next tariff review cut the allowed return to 9%, the multiple would fall to 1.11x; at 8.5% it would be 1.0x and Alvasa would be worth the base and nothing more. Growth cuts the other way: a higher growth rate raises the value only while the spread is positive, because each new rupee of base earns the same premium return.

Close with what the interviewer wants to hear. The multiple of 1.33x is a statement about regulation: it says the market expects Alvasa to keep earning 10% against an 8.5% cost of capital for a long time. A buyer paying that premium should ask when the next review is, how the regulator has treated past reviews, and whether the WACC assumption is itself the regulator's or the market's. The limit: this is a steady-state formula. Real tariff periods, capex lumps and under-recoveries of depreciation all push the real number around it, and a rise in interest rates lifts WACC before the regulator lifts the allowed return.

Where candidates lose it

The common loss is capitalising the Rs 200 crore allowed return as if it were free cash flow. It is not: Alvasa must spend Rs 180 crore a year on capex, and only Rs 120 crore is free. Capitalising Rs 200 crore at 4.5% gives a value more than three times too high.

The second is calling the premium a sign of a good business. It is the present value of a regulatory spread, and it disappears the day the allowed return is reset to the cost of capital.

What the interviewer asks next

  • If the regulator allowed 10% but WACC rose to 10% with interest rates, what would Alvasa be worth?
  • Why might a utility be worth more than this formula says in the years just after a tariff reset?
  • How would you value a utility whose base is shrinking because it is under-investing?
← Case 044A company receives an unsolicited cash offer at a 30% premium. Its own DCF range brackets the offer, and a white knight might pay more in stock with some risk of failing. Should the board accept, reject or pursue the white knight?Case 046 →A city spends Rs 600 crore a year more than it collects and wants to issue municipal bonds. How would you close the gap, and how much could it borrow once it has?

Company names and figures are illustrative.

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