Monday, July 8, 2013

How cheap/expensive are the Indian markets now


To invest in Equities given the market performance till now and how it is expected to perform is a key question in the allocation to equities. One of the simplest tools to measure how expensive or undervalued the equity markets at a broad level is Equity Risk Premium. Study of this number typically has loads of tales to tell. They depict the risk investing in the market as a whole given the past performance and the expected performance given the earnings that is expected.


This is an attempt to study the implied risk premium prevailing in the Indian market and the returns that can be expected from the Indian markets. There are three components that determine the Equity Risk Premium. A study of all these three variables would have useful insights that would help in fine tuning the investment strategy.

The Expected Returns (Er) that is derived from the expected earnings from the market. This is a good indicator of what is the rate at which the market is discounting the future earning of the companies. Expected returns from the average estimates earnings estimates is close to 12.68% as on 5th July 2013 as against 12.25% in 31st March 2012. Even though the index has increased from 5,295 to 5,867 in this period, the risk premium has increased marginally signifying the expectations of volatile times in days ahead.

The Indian bond yield has reduced from 8.5% to 7.5% in this period. Using the government bond as the risk free rate, the Equity risk premium derived for the Indian equity markets is 5.11% as against 3.75% March 2012.
The risk premium seems to have gone up from the levels seems in the last year in spite of the index being at a higher level. This is indicative of the stress that the markets are expecting in the near future and this is getting factored in the discounting rate. To enter or not this market at these risk premium would call for an analysis of historical trends in risk premium and at a individual level, how optimistic or pessimistic one feels about these risk spanning out.

One of the key trends found in this analysis was that risk impacted mid/small caps differently than from large caps. Hope to write on that in the next post...

Sunday, February 17, 2013

Philosophical Bias

I have been a keen follower of the Indian stock markets since 2003. I have been a keen student of valuation (I am still one!) all these years. The idea to start this blog was to write about markets, stocks, central themes of finance and my thoughts about the same. I am really not sure if I would have enough thoughts to write. But hope to write something interesting at regular intervals.

Before I start to blog, I would like to confess about my biases that stems from my Investment Philosophy. I am hardcore Contrarian Value Investor, with a firm belief in asset selection over market timing.  I am a firm believer of “Intrinsic value” and not pricing; with an expectation that both would converge (in the long run). My version of capital (other than money/funds) also includes patience and stomach for short term volatility. Hope the readers would factor in this bias when they read the posts.

Happy Reading! 

Thursday, January 17, 2013


Capital Structure Arbitrage – A New Bold Arbitrage Play

What is Capital Structure?

Capital Structure refers to the mix of equity and debt that a firm uses to finance operations of the firm. An ideal capital structure can be used to optimize the value of firm in a significant way. The Miller-Modiginalni (M-M) model on capital structure was one the first theory to explain the use and benefits of capital structure in maximizing the value of the firm. Even though the M-M model suffers from naïve and impractical assumptions, it still forms the basis of subsequent research and thought process on capital structure.



When a firm borrows money as debt, it adds significant amount of value to the firm by way of tax shield. When the firm raises debt, the form also incurs an implicit bankruptcy cost. The optimal debt equity ratio tries to maximize the value of firm. Some of the more practical approaches than the M-M Model that could be used to arrive at the optimal capital structure are:-
  • Enhanced Cost of Capital Approach – The approach tries to generate a debt equity ratio that would minimize the cost of capital of the firm. As the firm increases the financial leverage, the levered beta of the firm would start to increase. Hence higher leverage would get reflected as higher cost of equity. Higher leverage would also mean the increase in risk for bond holders. This would lead to increase yield of the bonds and fall in credit rating of the bond. The cost of capital at various leverage points can be studied to find the minimum cost of capital which would maximize the value of firm.
  • Adjusted Present Value Approach – This approach tries to maximize the value of the firm by factoring in the implied bankruptcy cost and the gains on account of tax shield to the value of unlevered firm.  The tax shield can be calculated by the using the marginal tax rate of the firm. The value of unlevered firm is obtained by discounting the cash flows by the cost of equity calculated by using the unlevered beta.


Calculating the bankruptcy is a difficult task as it is an implied cost and it is a relatively a newer concept in the world of finance. Some of the methods that can be used to estimate the bankruptcy cost are –

  • Using past Bankruptcies in the related industry,
  • Altman Z score
  • Merton Model, 
  • Predictive Bankruptcies using option pricing models


The value of the firm depends on the debt equity ratio of the firm. But markets are the efficient and they do misprice the securities. But there are special times where one of the securities of the firm gets mispriced and leads to an arbitrage around the two securities.

What is Capital Arbitrage and How does it work?

Historically, the arbitrage strategies have been built around correlation of related markets such as – cash, equity-equity derivatives and cash bonds-interest rate futures. Capital Structure Arbitrage is a relatively new strategy that intends benefit from mispricing of the different liabilities of the same company. These were developed after it was noticed that impact on credit derivative instruments such as credit default swaps were found on the equity instruments of the same company.


Potential Arbitrage opportunities exist in the market if the price of debt or equity cannot be justified by its capital structure. Capital Structure Arbitrage Theory Involves taking long and short positions in different items on the liabilities of the same firm. One of the reasons why this strategy could be practically implemented with a “high degree of effectiveness” to benefit from the mispricing is due the development of credit derivative market and instruments such as CDS and CLN.

The strategy works on the premise of exploiting lack of integration and synchronicity between the equity and the bond market. The strategy is primarily a bet on convergence of the anomalies in the pricing of different securities. The strategy works the best when the firms in financial distress, survive and fails the most when the firms end up in bankruptcy. It is far safer/less riskier than a “Naked’ position in either market.    

Link between Equity and Debt

The credit risk of a company gets reflected in both equity and debt. The debt can be viewed as put option and equity as a call option. Hence, debt is less sensitive to company fundamentals than equity, especially when the fundamentals improve. Higher the leverage, the credit spread of the company increases, this increases the higher the correlation between equity and debt. Generally, debt instruments with a rating of BBB-/BB+ are the best to execute the capital structure arbitrage strategies, as this is where the correlation between equity and debt is the highest.  This reason why effectiveness of debt instruments with a rating of BBB-/BB+ improves is because these debt instruments are quite volatile and start behaving like equity to various developments of the firm.     

A typical Capital Structure Arbitrage
  • A investor believes either the debt or equity is underpriced 
  • He purchases a put option on the equity and CDS on a cheap bond (with a high YTM)
  • He has build a kind of hedge by buying both these securities

In case of a default by the firm, he receives the money from the put writer and the compensation from the CDS issuer. In case of recovery/non default, the investor benefits from the improvement in credit position of the firm by holding CDS and losses the premium paid for put option.

Some of the traditional ways/strategies of benefitting from the capital structure arbitrage are -
  1. Set-up trades between the debt and equity of a company
  2. Play between senior debt and junior securities 
  3. Convertible Bond Arbitrage by purchasing convertible bond and shorting the shares  in the delta hedge ratio

Some of the newer strategies are
  • Equity Options
  • Credit Derivatives
  • Using both Equity options and credit derivatives

Capital Structure Arbitrage can be implemented using Equity Derivatives. Deterioration in a company’s credit worthiness is often an indicative future decline in the firm’s equity stock price. Theoretically, the derivative market should take cognizance of this movement in the credit derivative market. In Real time, the equity markets either over react or under react to these shocks in the credit derivative markets. In those times, the strategy to be used are companies whose equity prices have over reacted, a call should be brought and companies whose equity prices have under reacted, a put should be brought .

Most of the capital structure arbitrager uses a model to gauge the value left in a CDS after considering the price of the equity or vice versa. Most of the models used to calculate the spread are variants of the Merton Model.

One of the studies done at University of Massachusetts, February 2004 on Capital Structure Arbitrage strategies suggest that “Results indicate that the strategy does not work in a predictable manner at the firm level but does quite well at the aggregate portfolio level”. This is one of the fastest growing strategies to get adopted. Most of the losses on this strategy are because of short history of this strategy, lack of academic literature and practical expertise of executing such trades on the same.

In future, there would be more innovative instruments that would get developed around debt and equity. Development of such instruments and research in this area would enable the arbitrager to execute such strategy with a higher degree of effectiveness.