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CONTINGENT CLAIM 
VALUATION
Real Option 
 Traditional DCF approaches cannot properly capture 
the company’s flexibility to adapt and revise decisions 
in response to unexpected market developments. 
They assume an expected scenario of cash flows and 
presume an organization’s passive commitment to a 
certain static operating strategy. 
 However, the real world is characterized by change, 
uncertainty and competitive interactions. A company 
may exhibit flexibility in its operating strategy and 
agility to respond to changing circumstances and 
market conditions, to seize and capitalize on favorable 
future opportunities or to react so as to mitigate 
losses. This flexibility is like financial options, and is 
known as Real Options.
Enterprise Value in Real 
Options Valuation: 
 The enterprise value using this 
approach is given as follows: 
Enterprise Value = Value of existing 
operations 
+ Value of future potential operations 
= Value of all discounted future cash 
flows 
+ Value of the company’s portfolio of 
real options
Types of Real Options 
 Growth Options: 
 In practice, investments that have insignificant NPV maybe accepted to 
enable firms to find opportunities in future that add profitability and value. 
These projects are said to have growth options. Such options allow firms to 
make further investments in future if the conditions are favourable. It 
provides flexibility to the firm. 
 Abandonment Options: 
 This is the option to terminate/shut down /abandon a project prior to its 
expected useful life to minimize losses, if the project turns out to be bad or 
unsuccessful. 
 There is an abandonment value in that the decision to abandon can 
lower the project’s risk by limiting downside losses and enhancing 
profitability. 
 Timing Options: 
 This is an option to postpone/accelerate /slow down a project in response to 
new information. 
 Flexibility Options: 
 This is the option to redesign the production process by reconfiguring the 
plant and machinery to accept multiple inputs and produce a variety of 
products.
Examples of Real Options: 
 Option to invest in a new technology-based 
service/product, as the result 
of a successful R&D effort. 
 Equity in a firm with negative 
earnings and high leverage. 
 The patent and other intellectual 
property owned by a firm.
Real options are useful under the 
following conditions: 
 Contingent investment decisions 
 High uncertainty 
 Need to wait for more information 
 Value lies in future growth options 
 Flexibility is important 
 Mid course corrections may be needed as the 
scenario unfolds 
 The pay offs to investments are non linear 
 Conventional tools fail to capture the upside 
potential and trade offs required in strategic 
decisions.
OPTIONS 
 In general, the value of any asset is the present 
value of the cash flows on that asset 
Exception to the rule: 
The assets derive their value from the values of 
other assets 
The cash flows on the assets are contingent on 
the occurrence of specific events 
These are Options 
Their PV of expected cash flows will understate 
their true values
FINANCIAL OPTION 
 An option is a contract which gives its 
holder the right, but not the obligation, 
to buy (or sell) an asset at some 
predetermined price within a specified 
period of time. 
 It does not obligate its owner to take any 
action. It merely gives the owner the right 
to buy or sell an asset.
Call and Put 
 Buyer of a call option – long call 
 Seller of a call option – short call 
 Buyer of a put option – long put 
 Seller of a put option – Short Put 
Underlying asset could be 
Stocks, bonds, commodity, indices, 
foreign currency & real assets
BLACK SCHOLES OPTION PRICING 
METHODS : Assumptions 
i. The stock underlying the call option provides no 
dividends during the call option’s life 
ii. There are no transaction costs for the 
sale/purchase of either the stock or the option 
iii. Risk Free Rate of Return (RRF) is known and 
constant during the option’s life 
iv. Buyers may borrow any fraction of the purchase 
price at the short-term risk-free rate 
v. No penalty for short selling and sellers receive 
immediately full cash at today’s price 
vi. Call option can be exercised only on its expiration 
date 
Vii Security trading takes place in continuous time, 
and stock prices move randomly in continuous time
MATHEMATICAL EQUATIONS
 P – Price of the Share 
 X – Exercise Price 
 rRF – Risk Free rate of return 
 t – Time to expiry of options 
 s - Volatility
HOW IN PRACTICE TO CALCULATE? 
 One option is to use 
 http://www.bseindia.com/derivatives/ 
optioncalc.asp 
 Free ware based on Excel etc., 
available 
 Build your own model in Excel
Disadvantages of Real Option 
Valuation Models: 
 When real options are valued, many 
of the inputs for the option pricing 
model are difficult to obtain. 
 For instance, R&D projects do not 
trade and thus getting a current value 
for a project or its variance may be a 
daunting task.
Conclusions: 
 a. The option pricing models derive their value from 
an underlying asset. Thus, to do option pricing, we 
first need to value the assets. It is therefore an 
approach that is an addendum to another valuation 
approach. 
 b. Traditional valuation procedures cannot properly 
capture the company’s flexibility to adapt and revise 
later decisions in response to unexpected 
competitive/technological/market developments. 
 c. The real option technique can value the company’s 
flexibility to alter its initial operating strategy in order 
to capitalize on favorable future growth opportunities 
or to react so as to mitigate losses. 
 d. Valuations computed using the real option 
technique are often closer to market valuations for 
high growth stocks in high-risk industries.

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Contingent claim valuation

  • 2. Real Option  Traditional DCF approaches cannot properly capture the company’s flexibility to adapt and revise decisions in response to unexpected market developments. They assume an expected scenario of cash flows and presume an organization’s passive commitment to a certain static operating strategy.  However, the real world is characterized by change, uncertainty and competitive interactions. A company may exhibit flexibility in its operating strategy and agility to respond to changing circumstances and market conditions, to seize and capitalize on favorable future opportunities or to react so as to mitigate losses. This flexibility is like financial options, and is known as Real Options.
  • 3. Enterprise Value in Real Options Valuation:  The enterprise value using this approach is given as follows: Enterprise Value = Value of existing operations + Value of future potential operations = Value of all discounted future cash flows + Value of the company’s portfolio of real options
  • 4. Types of Real Options  Growth Options:  In practice, investments that have insignificant NPV maybe accepted to enable firms to find opportunities in future that add profitability and value. These projects are said to have growth options. Such options allow firms to make further investments in future if the conditions are favourable. It provides flexibility to the firm.  Abandonment Options:  This is the option to terminate/shut down /abandon a project prior to its expected useful life to minimize losses, if the project turns out to be bad or unsuccessful.  There is an abandonment value in that the decision to abandon can lower the project’s risk by limiting downside losses and enhancing profitability.  Timing Options:  This is an option to postpone/accelerate /slow down a project in response to new information.  Flexibility Options:  This is the option to redesign the production process by reconfiguring the plant and machinery to accept multiple inputs and produce a variety of products.
  • 5. Examples of Real Options:  Option to invest in a new technology-based service/product, as the result of a successful R&D effort.  Equity in a firm with negative earnings and high leverage.  The patent and other intellectual property owned by a firm.
  • 6. Real options are useful under the following conditions:  Contingent investment decisions  High uncertainty  Need to wait for more information  Value lies in future growth options  Flexibility is important  Mid course corrections may be needed as the scenario unfolds  The pay offs to investments are non linear  Conventional tools fail to capture the upside potential and trade offs required in strategic decisions.
  • 7. OPTIONS  In general, the value of any asset is the present value of the cash flows on that asset Exception to the rule: The assets derive their value from the values of other assets The cash flows on the assets are contingent on the occurrence of specific events These are Options Their PV of expected cash flows will understate their true values
  • 8. FINANCIAL OPTION  An option is a contract which gives its holder the right, but not the obligation, to buy (or sell) an asset at some predetermined price within a specified period of time.  It does not obligate its owner to take any action. It merely gives the owner the right to buy or sell an asset.
  • 9. Call and Put  Buyer of a call option – long call  Seller of a call option – short call  Buyer of a put option – long put  Seller of a put option – Short Put Underlying asset could be Stocks, bonds, commodity, indices, foreign currency & real assets
  • 10. BLACK SCHOLES OPTION PRICING METHODS : Assumptions i. The stock underlying the call option provides no dividends during the call option’s life ii. There are no transaction costs for the sale/purchase of either the stock or the option iii. Risk Free Rate of Return (RRF) is known and constant during the option’s life iv. Buyers may borrow any fraction of the purchase price at the short-term risk-free rate v. No penalty for short selling and sellers receive immediately full cash at today’s price vi. Call option can be exercised only on its expiration date Vii Security trading takes place in continuous time, and stock prices move randomly in continuous time
  • 12.  P – Price of the Share  X – Exercise Price  rRF – Risk Free rate of return  t – Time to expiry of options  s - Volatility
  • 13. HOW IN PRACTICE TO CALCULATE?  One option is to use  http://www.bseindia.com/derivatives/ optioncalc.asp  Free ware based on Excel etc., available  Build your own model in Excel
  • 14. Disadvantages of Real Option Valuation Models:  When real options are valued, many of the inputs for the option pricing model are difficult to obtain.  For instance, R&D projects do not trade and thus getting a current value for a project or its variance may be a daunting task.
  • 15. Conclusions:  a. The option pricing models derive their value from an underlying asset. Thus, to do option pricing, we first need to value the assets. It is therefore an approach that is an addendum to another valuation approach.  b. Traditional valuation procedures cannot properly capture the company’s flexibility to adapt and revise later decisions in response to unexpected competitive/technological/market developments.  c. The real option technique can value the company’s flexibility to alter its initial operating strategy in order to capitalize on favorable future growth opportunities or to react so as to mitigate losses.  d. Valuations computed using the real option technique are often closer to market valuations for high growth stocks in high-risk industries.