If you’re somewhat new to Options, you must have heard about the Option Greeks. In fact, a common rookie mistake with Options traders is that they ignore the Greeks. In this post, hopefully, I can convey the importance of Option Greeks explained in simple terms. This is easily one of the biggest mistakes a newbie Options trader can do.
This is a curriculum presentation on the risk analysis of using exotic options benchmarked against vanilla options to ascertain risk mitigation against financial reward.
Want to understand how options work but don\'t have time to go through books? Read this presentation I prepared with couple of my classmates for a case study in Advanced Finance at AIM
Black-Scholes Model
Introduction
Key terms
Black Scholes Formula
Black Scholes Calculators
Wiener Process
Stock Pricing Model
Ito’s Lemma
Derivation of Black-Sholes Equation
Solution of Black-Scholes Equation
Maple solution of Black Scholes Equation
Figures
Option Pricing with Transaction costs and Stochastic Volatility
Introduction
Key terms
Stochastic Volatility Model
Quanto Option Pricing Model
Key Terms
Pricing Quantos in Excel
Black-Scholes Equation of Quanto options
Solution of Quanto options Black-Scholes Equation
If you’re somewhat new to Options, you must have heard about the Option Greeks. In fact, a common rookie mistake with Options traders is that they ignore the Greeks. In this post, hopefully, I can convey the importance of Option Greeks explained in simple terms. This is easily one of the biggest mistakes a newbie Options trader can do.
This is a curriculum presentation on the risk analysis of using exotic options benchmarked against vanilla options to ascertain risk mitigation against financial reward.
Want to understand how options work but don\'t have time to go through books? Read this presentation I prepared with couple of my classmates for a case study in Advanced Finance at AIM
Black-Scholes Model
Introduction
Key terms
Black Scholes Formula
Black Scholes Calculators
Wiener Process
Stock Pricing Model
Ito’s Lemma
Derivation of Black-Sholes Equation
Solution of Black-Scholes Equation
Maple solution of Black Scholes Equation
Figures
Option Pricing with Transaction costs and Stochastic Volatility
Introduction
Key terms
Stochastic Volatility Model
Quanto Option Pricing Model
Key Terms
Pricing Quantos in Excel
Black-Scholes Equation of Quanto options
Solution of Quanto options Black-Scholes Equation
SlideShare now has a player specifically designed for infographics. Upload your infographics now and see them take off! Need advice on creating infographics? This presentation includes tips for producing stand-out infographics. Read more about the new SlideShare infographics player here: http://wp.me/p24NNG-2ay
This infographic was designed by Column Five: http://columnfivemedia.com/
No need to wonder how the best on SlideShare do it. The Masters of SlideShare provides storytelling, design, customization and promotion tips from 13 experts of the form. Learn what it takes to master this type of content marketing yourself.
10 Ways to Win at SlideShare SEO & Presentation OptimizationOneupweb
Thank you, SlideShare, for teaching us that PowerPoint presentations don't have to be a total bore. But in order to tap SlideShare's 60 million global users, you must optimize. Here are 10 quick tips to make your next presentation highly engaging, shareable and well worth the effort.
For more content marketing tips: http://www.oneupweb.com/blog/
Are you new to SlideShare? Are you looking to fine tune your channel plan? Are you using SlideShare but are looking for ways to enhance what you're doing? How can you use SlideShare for content marketing tactics such as lead generation, calls-to-action to other pieces of your content, or thought leadership? Read more from the CMI team in their latest SlideShare presentation on SlideShare.
How to Make Awesome SlideShares: Tips & TricksSlideShare
Turbocharge your online presence with SlideShare. We provide the best tips and tricks for succeeding on SlideShare. Get ideas for what to upload, tips for designing your deck and more.
Option Pricing Models Lecture NotesThis week’s assignment is .docxhopeaustin33688
Option Pricing Models Lecture Notes:
This week’s assignment is quite complex. Keep in mind that the theory behind these pricing models is the important thing to remember for this week’s assignment.
If you feel the need to understand the Black Scholes (BSOPM) model in greater detail, I direct you to and http://en.wikipedia.org/wiki/Black_Scholes.
The models we discuss this week can be used via MS Excel templates, which you will find uploaded to the course content section of our classroom under this week’s folder. There is also an alternative calculator, courtesy of 888options.com located at the Binomial & Black Scholes Calculator link. I strongly encourage you to try these out to get a feel for how the different variables play into the final determination of pricing.
1. Binomial options pricing model
In finance, the binomial options pricing model provides a generalisable numerical method for the valuation of options. The binomial model was first proposed by Cox, Ross and Rubinstein (1979). Essentially, the model uses a "discrete-time" model of the varying price over time of the underlying financial instrument. Option valuation is then via application of therisk neutrality assumption over the life of the option, as the price of the underlying instrument evolves.
Use of the model
The Binomial options pricing model approach is widely used as it is able to handle a variety of conditions for which other models cannot easily be applied. This is largely because the BOPM models the underlying instrument over time - as opposed to at a particular point. For example, the model is used to value American options which can be exercised at any point and Bermudan options which can be exercised at various points.
The model is also relatively simple, mathematically, and can therefore be readily implemented in a software (or even spreadsheet) environment. Although slower than the Black-Scholes model, it is considered more accurate, particularly for longer-dated options, and options on securities with dividend payments. For these reasons, various versions of the binomial model are widely used by practitioners in the options markets.
For options with several sources of uncertainty (e.g. real options), or for options with complicated features (e.g. Asian options), lattice methods face several difficulties and are not practical. Monte Carlo option models are generally used in these cases. Monte Carlo simulation is, however, time-consuming in terms of computation, and is not used when the Lattice approach (or a formula) will suffice. See Monte Carlo methods in finance.
Methodology
The binomial pricing model uses a "discrete-time framework" to trace the evolution of the option's key underlying variable via a binomial lattice (tree), for a given number of time steps between valuation date and option expiration.
Each node in the lattice represents a possible price of the underlying, at a particular point in time. This price evolution forms the basis for t.
Financial engineering is the quantitative methodology used for development of solutions to financial problems. It is often used for development of new financial products, such as an existing basket of vanilla financial products, or combining features of different financial products in a hybrid financial product, in order to enhance the yield or changing the risk aspects of the new product in accordance with the views of the client. The presentation on financial engineering and structured products is a presentation made at a conference regarding the products that have the unique feature of preserving the initial investment or a portion of initial investment along with the potential of increasing the yield of the investment.
A Comparison of Option Pricing ModelsEkrem Kilic 11.0.docxevonnehoggarth79783
A Comparison of Option Pricing Models
Ekrem Kilic �
11.01.2005
Abstract
Modeling a nonlinear pay o¤ generating instrument is a challenging work. The mod-
els that are commonly used for pricing derivative might divided into two main classes;
analytical and iterative models. This paper compares the Black-Scholes and binomial
tree models.
Keywords: Derivatives, Option Pricing, Black-Scholes,Binomial Tree
JEL classi�cation:
1. Introduction
Modeling a nonlinear pay o¤ generating instrument is a challenging work to
handle. If we consider a European option on a stock, what we are trying to do is
estimating a conditional expected future value. In other words we need to �nd out
the following question: what would be the expected future value of a stock given
that the price is higher than the option�s strike price? If we �nd that value we can
easily get the expected value of the option. For the case of the American options
the model need to be more complex. For this case, we need to check the path that
we reached some future value of the stock, because the buyer of the option might
exercise the option at any time until the maturity date.
To solve the problem that summarized above, �rst we need to model the move-
ment of the stock during the pricing period. The common model for the change
of the stock prices is Geometric Brownian Motion. Secondly, the future outcomes
of the model might have the same risk. Risk Neutrality assumption provides that.
By constructing a portfolio of derivative and share makes possible to have same
�E-mail address: [email protected]
A Comparison of Option Pricing Models 2
outcome with canceling out the source of the uncertainty.
The models that are commonly used for pricing derivative might divided into
two main classes. The �rst classes is the models that provide analytical formulae to
get the risk neutral price under some reasonable assumptions. The Black-Scholes
formula is in this group. The formulae that we have to price the derivatives
are quite limited. The reason is that we are trying to solve a partial di¤erential
equation at the end of the day. But mathematician could manage to solve just
someof thepartialdi¤erential equations; therefore, weareboundedto some limited
solutions.
The second classes models provide numerical procedures to price the option.
Binomial trees that �rst suggested by Cox, Ross and Rubenstein, is in this group,
because we need to follow an iterative procedure called �backwards induction�to
get option price. Monte Carlo simulations are another type of models that belongs
to this class. Also �nite di¤erencing methods are a type of numerical class.
In this paper, �rst I will introduce Black-Scholes and Binomial Tree models for
option pricing. Second I will introduce the volatility estimation methods I used
and calculate some option prices to compare models. Finally I will conclude.
2. Option Pricing Models
2.1. Black-Scholes Model
Black-Scholes formula s.
Option Pricing ModelsThe Black-Scholes-Merton Model a.docxhopeaustin33688
Option Pricing Models:
The Black-Scholes-Merton Model aka Black – Scholes Option Pricing Model (BSOPM)
*
Important ConceptsThe Black-Scholes-Merton option pricing modelThe relationship of the model’s inputs to the option priceHow to adjust the model to accommodate dividends and put optionsThe concepts of historical and implied volatilityHedging an option position
*
The Black-Scholes-Merton FormulaBrownian motion and the works of Einstein, Bachelier, Wiener, ItôBlack, Scholes, Merton and the 1997 Nobel PrizeRecall the binomial model and the notion of a dynamic risk-free hedge in which no arbitrage opportunities are available.The binomial model is in discrete time. As you decrease the length of each time step, it converges to continuous time.
*
Some Assumptions of the ModelStock prices behave randomly and evolve according to a lognormal distribution. The risk-free rate and volatility of the log return on the stock are constant throughout the option’s lifeThere are no taxes or transaction costsThe stock pays no dividendsThe options are European
*
BackgroundPut and call prices are affected byPrice of underlying assetOption’s exercise priceLength of time until expiration of optionVolatility of underlying assetRisk-free interest rateCash flows such as dividendsPremiums can be derived from the above factors
*
Option ValuationThe value of an option is the present value of its intrinsic value at expiration. Unfortunately, there is no way to know this intrinsic value in advance. Black & Scholes developed a formula to price call options This most famous option pricing model is the often referred to as “Black-Scholes OPM”.
*
Note: There are many other OPMs in existence. These are mostly variations on the Black-Scholes model, and the Black-Scholes model is the most used.
The Concepts Underlying Black-ScholesThe option price and the stock price depend on the same underlying source of uncertaintyWe can form a portfolio consisting of the stock and the option which eliminates this source of uncertaintyThe portfolio is instantaneously riskless and must instantaneously earn the risk-free rate
*
Option Valuation VariablesThere are five variables in the Black-Scholes OPM (in order of importance):Price of underlying securityStrike priceAnnual volatility (standard deviation)Time to expirationRisk-free interest rate
*
Option Valuation Variables: Underlying PriceThe current price of the underlying security is the most important variable.For a call option, the higher the price of the underlying security, the higher the value of the call.For a put option, the lower the price of the underlying security, the higher the value of the put.
*
Option Valuation Variables: Strike PriceThe strike (exercise) price is fixed for the life of the option, but every underlying security has several strikes for each expiration monthFor a call, the higher the strike price, the lower the value of the call.For a put, the higher t.
The Importance of Understanding Intrinsic Value in Stock Investing.pdfAmibaKumar
find intrinsic value of a stock As an investor, it is important to understand the intrinsic value of a stock. Intrinsic value is the true value of a stock, based on a company's underlying fundamentals, such as earnings, assets and growth prospects. This is different from the market value of the stock, which is the current price at which the stock is being traded in the market. In this article, we will explore how to find the intrinsic value of a stock and why it is important.
1. The exercise price on one of Flanagan Companys options is .docxjackiewalcutt
1. The exercise price on one of Flanagan Company's options is $14, its exercise value is
$23, and its time value is $6. What are the option's market value and the price of the
stock?
Market value $
Price of the stock $
2. Suppose you believe that Delva Corporation's stock price is going to decline from its
current level of $82.50 sometime during the next 5 months. For $510.25 you could buy a
5-month put option giving you the right to sell 100 shares at a price of $85 per share. If
you bought this option for $510.25 and Delva's stock price actually dropped to $60, what
would your pre-tax net profit be?
a. $2,193.70
b. $2,089.24
c. −$510.25
d. $2,303.38
e. $1,989.75
3. The current price of a stock is $50, the annual risk-free rate is 6%, and a 1-year call
option with a strike price of $55 sells for $7.20. What is the value of a put option,
assuming the same strike price and expiration date as for the call option?
a. $7.71
b. $7.33
c. $8.55
d. $9.00
e. $8.12
4. A call option on the stock of Bedrock Boulders has a market price of $7. The stock
sells for $29 a share, and the option has an exercise price of $25 a share.What is the
exercise value of the call option?
$
What is the option's time value?
$
5. Deeble Construction Co.'s stock is trading at $30 a share. Call options on the
company's stock are also available, some with a strike price of $25 and some with a strike
price of $35. Both options expire in three months. Which of the following best describes
the value of these options?
a. The options with the $25 strike price will sell for $5.
b. The options with the $25 strike price have an exercise value greater than $5.
c. If Deeble's stock price rose by $5, the exercise value of the options with the $25
strike price would also increase by $5.
d. The options with the $35 strike price have an exercise value greater than $0.
e. The options with the $25 strike price will sell for less than the options with the $35
strike price.
Ch08 P08 Build a Model Spring 1, 20137/22/12Chapter 8. Ch 08 P08 Build a ModelExcept for charts and answers that must be written, only Excel formulas that use cell references or functions will be accepted for credit. Numeric answers in cells will not be accepted.You have been given the following information on a call option on the stock of Puckett Industries:P =$65X =$70t =0.5rRF =4%s =50.00%a. Using the Black-Scholes Option Pricing Model, what is the value of the call option?First, we will use formulas from the text to solve for d1 and d2.Hint: use the NORMSDIST function.(d1)=N(d1) =(d2)=N(d2) =Using the formula for option value and the values of N(d) from above, we can find the call option value.VC=b. Suppose there is a put option on Puckett's stock with exactly the same inputs as the call option. What is the value of the put?Put option using Black-Scholes modified form ...
Similar to Real options, acquisition valuation and value enhancement (20)
Implicitly or explicitly all competing businesses employ a strategy to select a mix
of marketing resources. Formulating such competitive strategies fundamentally
involves recognizing relationships between elements of the marketing mix (e.g.,
price and product quality), as well as assessing competitive and market conditions
(i.e., industry structure in the language of economics).
"𝑩𝑬𝑮𝑼𝑵 𝑾𝑰𝑻𝑯 𝑻𝑱 𝑰𝑺 𝑯𝑨𝑳𝑭 𝑫𝑶𝑵𝑬"
𝐓𝐉 𝐂𝐨𝐦𝐬 (𝐓𝐉 𝐂𝐨𝐦𝐦𝐮𝐧𝐢𝐜𝐚𝐭𝐢𝐨𝐧𝐬) is a professional event agency that includes experts in the event-organizing market in Vietnam, Korea, and ASEAN countries. We provide unlimited types of events from Music concerts, Fan meetings, and Culture festivals to Corporate events, Internal company events, Golf tournaments, MICE events, and Exhibitions.
𝐓𝐉 𝐂𝐨𝐦𝐬 provides unlimited package services including such as Event organizing, Event planning, Event production, Manpower, PR marketing, Design 2D/3D, VIP protocols, Interpreter agency, etc.
Sports events - Golf competitions/billiards competitions/company sports events: dynamic and challenging
⭐ 𝐅𝐞𝐚𝐭𝐮𝐫𝐞𝐝 𝐩𝐫𝐨𝐣𝐞𝐜𝐭𝐬:
➢ 2024 BAEKHYUN [Lonsdaleite] IN HO CHI MINH
➢ SUPER JUNIOR-L.S.S. THE SHOW : Th3ee Guys in HO CHI MINH
➢FreenBecky 1st Fan Meeting in Vietnam
➢CHILDREN ART EXHIBITION 2024: BEYOND BARRIERS
➢ WOW K-Music Festival 2023
➢ Winner [CROSS] Tour in HCM
➢ Super Show 9 in HCM with Super Junior
➢ HCMC - Gyeongsangbuk-do Culture and Tourism Festival
➢ Korean Vietnam Partnership - Fair with LG
➢ Korean President visits Samsung Electronics R&D Center
➢ Vietnam Food Expo with Lotte Wellfood
"𝐄𝐯𝐞𝐫𝐲 𝐞𝐯𝐞𝐧𝐭 𝐢𝐬 𝐚 𝐬𝐭𝐨𝐫𝐲, 𝐚 𝐬𝐩𝐞𝐜𝐢𝐚𝐥 𝐣𝐨𝐮𝐫𝐧𝐞𝐲. 𝐖𝐞 𝐚𝐥𝐰𝐚𝐲𝐬 𝐛𝐞𝐥𝐢𝐞𝐯𝐞 𝐭𝐡𝐚𝐭 𝐬𝐡𝐨𝐫𝐭𝐥𝐲 𝐲𝐨𝐮 𝐰𝐢𝐥𝐥 𝐛𝐞 𝐚 𝐩𝐚𝐫𝐭 𝐨𝐟 𝐨𝐮𝐫 𝐬𝐭𝐨𝐫𝐢𝐞𝐬."
Tata Group Dials Taiwan for Its Chipmaking Ambition in Gujarat’s DholeraAvirahi City Dholera
The Tata Group, a titan of Indian industry, is making waves with its advanced talks with Taiwanese chipmakers Powerchip Semiconductor Manufacturing Corporation (PSMC) and UMC Group. The goal? Establishing a cutting-edge semiconductor fabrication unit (fab) in Dholera, Gujarat. This isn’t just any project; it’s a potential game changer for India’s chipmaking aspirations and a boon for investors seeking promising residential projects in dholera sir.
Visit : https://www.avirahi.com/blog/tata-group-dials-taiwan-for-its-chipmaking-ambition-in-gujarats-dholera/
Business Valuation Principles for EntrepreneursBen Wann
This insightful presentation is designed to equip entrepreneurs with the essential knowledge and tools needed to accurately value their businesses. Understanding business valuation is crucial for making informed decisions, whether you're seeking investment, planning to sell, or simply want to gauge your company's worth.
Memorandum Of Association Constitution of Company.pptseri bangash
www.seribangash.com
A Memorandum of Association (MOA) is a legal document that outlines the fundamental principles and objectives upon which a company operates. It serves as the company's charter or constitution and defines the scope of its activities. Here's a detailed note on the MOA:
Contents of Memorandum of Association:
Name Clause: This clause states the name of the company, which should end with words like "Limited" or "Ltd." for a public limited company and "Private Limited" or "Pvt. Ltd." for a private limited company.
https://seribangash.com/article-of-association-is-legal-doc-of-company/
Registered Office Clause: It specifies the location where the company's registered office is situated. This office is where all official communications and notices are sent.
Objective Clause: This clause delineates the main objectives for which the company is formed. It's important to define these objectives clearly, as the company cannot undertake activities beyond those mentioned in this clause.
www.seribangash.com
Liability Clause: It outlines the extent of liability of the company's members. In the case of companies limited by shares, the liability of members is limited to the amount unpaid on their shares. For companies limited by guarantee, members' liability is limited to the amount they undertake to contribute if the company is wound up.
https://seribangash.com/promotors-is-person-conceived-formation-company/
Capital Clause: This clause specifies the authorized capital of the company, i.e., the maximum amount of share capital the company is authorized to issue. It also mentions the division of this capital into shares and their respective nominal value.
Association Clause: It simply states that the subscribers wish to form a company and agree to become members of it, in accordance with the terms of the MOA.
Importance of Memorandum of Association:
Legal Requirement: The MOA is a legal requirement for the formation of a company. It must be filed with the Registrar of Companies during the incorporation process.
Constitutional Document: It serves as the company's constitutional document, defining its scope, powers, and limitations.
Protection of Members: It protects the interests of the company's members by clearly defining the objectives and limiting their liability.
External Communication: It provides clarity to external parties, such as investors, creditors, and regulatory authorities, regarding the company's objectives and powers.
https://seribangash.com/difference-public-and-private-company-law/
Binding Authority: The company and its members are bound by the provisions of the MOA. Any action taken beyond its scope may be considered ultra vires (beyond the powers) of the company and therefore void.
Amendment of MOA:
While the MOA lays down the company's fundamental principles, it is not entirely immutable. It can be amended, but only under specific circumstances and in compliance with legal procedures. Amendments typically require shareholder
3.0 Project 2_ Developing My Brand Identity Kit.pptxtanyjahb
A personal brand exploration presentation summarizes an individual's unique qualities and goals, covering strengths, values, passions, and target audience. It helps individuals understand what makes them stand out, their desired image, and how they aim to achieve it.
RMD24 | Debunking the non-endemic revenue myth Marvin Vacquier Droop | First ...BBPMedia1
Marvin neemt je in deze presentatie mee in de voordelen van non-endemic advertising op retail media netwerken. Hij brengt ook de uitdagingen in beeld die de markt op dit moment heeft op het gebied van retail media voor niet-leveranciers.
Retail media wordt gezien als het nieuwe advertising-medium en ook mediabureaus richten massaal retail media-afdelingen op. Merken die niet in de betreffende winkel liggen staan ook nog niet in de rij om op de retail media netwerken te adverteren. Marvin belicht de uitdagingen die er zijn om echt aansluiting te vinden op die markt van non-endemic advertising.
The world of search engine optimization (SEO) is buzzing with discussions after Google confirmed that around 2,500 leaked internal documents related to its Search feature are indeed authentic. The revelation has sparked significant concerns within the SEO community. The leaked documents were initially reported by SEO experts Rand Fishkin and Mike King, igniting widespread analysis and discourse. For More Info:- https://news.arihantwebtech.com/search-disrupted-googles-leaked-documents-rock-the-seo-world/
26. Valuing the Option to Delay a Project Present Value of Expected Cash Flows on Product PV of Cash Flows from Project Initial Investment in Project Project has negative NPV in this section Project's NPV turns positive in this section
27.
28. Payoff on Product Option Present Value of cashflows on product Net Payoff to introduction Cost of product introduction
50. The Option to Expand Present Value of Expected Cash Flows on Expansion PV of Cash Flows from Expansion Additional Investment to Expand Firm will not expand in this section Expansion becomes attractive in this section
69. Inputs to Option Valuation Model- Disney Model input Estimated as In general… For Disney S Expected annual reinvestment needs (as % of firm value) Measures magnitude of reinvestment needs Average of Reinvestment/ Value over last 5 years = 5.3% Variance in annual reinvestment needs Measures how much volatility there is in investment needs. Variance over last 5 years in ln(Reinvestment/Value) =0.375 K (Internal + Normal access to external funds)/ Value Measures the capital constraint Average over last 5 years = 4.8% T 1 year Measures an annual value for flexibility T =1
70.
71.
72. Option Pricing Applications in Valuation Equity Value in Deeply Troubled Firms Value of Undeveloped Reserves for Natural Resource Firm Value of Patent/License
98. Acquirers Anonymous: Seven Steps back to Sobriety… Aswath Damodaran Stern School of Business, New York University www.damodaran.com
99. Acquisitions are great for target companies but not always for acquiring company stockholders…
100.
101.
102.
103.
104. Testing sheet Test Passed/Failed Rationalization Risk transference Debt subsidies Control premium The value of synergy Comparables and Exit Multiples Bias A successful acquisition strategy
135. Value Creation 2: Increase Expected Growth Price Leader versus Volume Leader Strategies Return on Capital = Operating Margin * Capital Turnover Ratio
The allure of real options is that they allow you to add a premium to traditional value estimates (NPV, discounted cash flow value) and override what are generally considered hard and fast rules in finance. Thus, you can use the real options argument to take a negative NPV investment, bid for a non-viable patent or pay more than fair value (estimated from cashflows) on an acquisition.
Expected value of this investment = -10
If you ignore time value, the cumulative probabilities of success and failure and the cumulative costs of each have not changed in this example but the expected value has become positive… The gain comes from the fact that what you learn at the first stage allows you to make better decisions in the second . This learning is the essence of the value of real options and is what often gets ignored in conventional discounted cashflow valuation, where we take the expected cashflows from today’s vantage point without considering other pathways that the firm might choose given what happens in the first year, the second year etc. The keys to real option value then come from learning and adaptive behavior.
To prevent real options arguments from overwhelming common sense, we have to ensure that all three questions get answered in the affirmative before we use the argument in the first place.
You are looking for all three to exist before you attach the option moniker on an asset: There has to be an underlying asset The payoff has to be contingent on an event happening There has to be a finite life.
Any asset with a cash flow payoff that resembles this has call option characteristics. The key is that losses are limited and profits are not.
Any asset with a cash flow payoff that resembles this has put option characteristics.
Exclusivity is the defining variable determining whether an option has value. If you and only you can exercise the option, you get 100% of its value. If others also have the opportunity, you start losing value. In effect, opportunities that are available to every one are not options.
These six variables are constants in all option pricing models. The one variable that is key is risk. Unlike every other asset, options gain value as the underlying asset becomes riskier, because the downside is limited (see limited losses in cash flow diagram).
Most projects have one or more than one option embedded in them.
Traditional investment analysis just looks at the question of whether a project is a good one, if taken today. It does not say the rights to this project are worthless.
This looks at the option to delay a project, to which you have exclusive rights. The initial investment in the project is what you would need to invest to convert this project from a right to a real project. The present value of the cash flows will change over time. If the perceived present value of the cash flows stays below the investment needed, the project should never be taken.
A project may be the first in a sequence.
Here, the initial project gives you the option to invest an additional amount in the future which you will do only if the present value of the additional cash flows you will get by expanding are greater than the investment needed. For this to work, you have to do the first project to be eligible for the option to expand.
This is a negative net present value project, but it gives Disney the option to expand later. Implicitly, we are also saying that if Disney does not make the initial project investment (with a NPV of - $ 20 million), it cannot expand later into the rest of Latin America.
This values the option, using the Black Scholes model. The value from the model itself is affected not only by the assumptions made about volatility and value, but also by the asssumptions underlying the model. The value itself is not the key output from the model. It is the fact that strategic options, such as this one, can be valued, and that they can make a significant difference to your decision.
A bad project, with options considered, becomes a good one.
You would like to abandon a project, once you know that it will create only negative cash flows for you. This is not always possible, because of contracts you might have entered into with employees or customers.
We are assuming that the developer will be in a position to honor his or her commitment to buy back Disney’s share for $ 150 million.
These are the inputs to the model. The likelihood of abandonment will increase over time, as the value of the project decreases.
If you can negotiate this option into your investment projects, you increase their value. To the degree that you have to pay for this option, you would be willing to pay up to $ 7.86 million.
Everything that we have been taught in corporate finance and capital budgeting suggests that a negative net present value project is bad, and a risky, negative net present value project may be even worse…
Looks at equity as an option… Note the drop in S and the increase in variance…
Some value magic or is it? Equity as an optilon gains more from the increase in risk than it loses in firm value.. The real losers are the bondholders. What lessons can bondholders draw from this? Take an equity stake in deeply troubled firms. Take an active role in the way the companies are run. Write in restrictive covenants on new investments and monitor existing investments to prevent risk shifting.
Again, it seems like a pretty straightforward question. A fair value acquisition should be value neutral…
It is value neutral for overall value, but the firm is becoming a safer firm (a pure diversification effect).
Note tat equity investors lose about $ 3 million, because of the drop in variance. To prevent this from happening, you would need to Increase the debt ratio after conglomerate mergers to take advantage of the lower risk and higher debt capacity Renegotiate with existing lenders to reduce interest rates that they charge to reflect the lower risk of the firm.
The original title I had was “Acquirer’s Anonymous: Seven Steps to Sobriety” but I decided that it showed my biases a little too strongly.
Could not be simpler: Value of the firm = 12/.20 = 60 million
Does not change. You cannot make the argument (though many do) that since it is your equity that is being used to fund the acquisition, you can use your cost of equity (which would lead you to double the value of the target firm).
The reason lies in a basic principle in capital budgeting - that a project’s discount rate should reflect the risk of the project and not of the entity taking the project. (Of course, this would also imply that you would use project specific costs of equity and capital….) If you fail on this principle, safe companies will end up overvaluing and overpaying for risky companies (as many did in the late 1990s)
This is a tougher one and you may be tempted to argue that the new cost of capital for the target firm will be: Cost of capital = 20% (.5) + 4% (.5) = 12% This would lead you to value the target firm at 100. What is the problem with doing this? Remember that the reason you are able to borrow money is because you as the acquiring firm have excess debt capacity and you are able to borrow at low rates because you have no default risk. If you use this lower cost of capital, you are in effect subsidizing the target firm stockholders with your excess debt capacity. How about if the target firm could have afforded to have a 50% debt ratio and a 4% cost of debt? That is a different question and can be considered a value for control. If you pay 100, though, you do all the work of bringing them to their optimal debt ratio and the target firm stockholders walk away with all of the benefits.
The minute you start building into the valuation strengths that flow from you (as the acquiring firm), you start giving target firm stockholders premiums that they do not deserve.
Wrong on both counts. Control can be worth nothing (or 50%) and rules of thumb are useless.
Rules of thumb in billion dollar valuations are signs of laziness and indicate an unwillingness to actually estimate the value of control or what a reasonable value to EBITDA multiple is for a firm.
Answer to part a Not unless I am given specifics. Buzz words are worth nothing. Answer to part b By the present value of the cashflows that will be generated by the synergy Answer to part c Since synergy requires both the acquiring firm and the target firm’s strengths to be pooled, you (as the acquirer) should demand your fair share of that synergy. If there are literally dozens of firms that have the strength you bring to the merger, odds are that you will end up with very little of the synergy.
You have to do three valuations to value synergy and you have to quantify the impact of synergy into valuation inputs.
The tax reform act of 1980 allowed for a loophole which was exploited to write up the assets. You can no longer do this on all assets in the U.S. In other countries, such as Brazil, this is still allowed.
More than 10% of the total price paid reflects the present value of the tax benefits from the additional depreciation.
To value synergy, you would need to do the following: Value the two firms independently Define how synergy will show up in the combined firm. It can take the form of higher growth (with growth synergies), higher margins (with cost saving synergies), longer growth period (with strategic synergies). Value the combined firm with the synergy built it. Value of synergy = Value of combined firm (from step c) - Sum of the values of the independent companies from step a.
Two basic problems here: Sampling bias: Looking at transaction multiples (on other acquisitions), you are looking a sample of firms that are likely to have over paid. If you are going to do relative valuation, at least look at how other publicly traded companies in the sector are trading at. Better still, try to control for differences between your firm and these comparable firms. If the market is, on average, wrong and overpaying for stocks in a sector, you will end up overpaying as well. This problem becomes even worse when you use the industry average to estimate terminal value in acquisition valuations. If the market is wrong, it is likely to correct well before you get to your terminal year.
The fact that everyone else in the sector is doing bad acquisitions and over paying for them is not a good reason to join the group. It is entirely possible that you are operating in a value destroying sector and it may be time for you to consider shrinking while everyone else is expanding or better still become a target of their acquisitions.
Fairness opinions are not worth the paper they are written on. When the deal makers (investment bankers) also pass judgment on whether the deal makes sense (which is what the fairness opinion provides), you have a huge conflict of interest.
This is not a macho game. CEOs are all too willing to fight out acquisitions with other people’s money. Investment bankers are all too willing to go along. In a typical acquisition, who is watching out for the stockholders of the acquiring firm?
This is a very tough game to win at. When you decide to grow through acquisitions, especially of publicly traded firms, the odds are against you because you always have to pay the market price plus a premium. It is not who you buy that determines the success of an acquisition, it is how much you pay. The odds are better when you grow by buying private companies, where you assess the value and you are less likely to get into bidding wars. In addition, there are real constraints on private firms that my be removed when you take them over. This offers potential for increasing value.
Value enhancement and price enhancement are equivalent in an efficient market. In a market that does not always reward long-term decision making and behaves irrationally,
To create value, you have to change one or more of the above inputs…
The key is that there is a trade off between current cashflows and future growth. If you increase current cashflows at the expense of future growth, you may destroy value rather than add to it.
Increasing growth will increase value if and only if the return on capital > cost of capital.
Reducing the cost of capital, holding cashflows constant, increases firm value.
Telecom Italia in 1998 was the target of a hostile takeover by Olivetti for 11.50 euros per share. This is a status quo valuation of Telecom Italia and it suggest that the value per share is only 7.79 Euros, but this is with existing management.
Contrary to conventional wisdom, the value of control is not 20%… (That is a common rule of thumb used in acquisitions, and really reflects the average premium paid in acquisitions..) Even if bidders do not overpay, the premium on an acquisition can reflect lots of other motivations besides control (synergy, for example).
Generalizes the equations used in the last two pages.
Sometimes, with multiple partners, you could end up with effective control with less than 51% of the firm. With private equity, you may be able to negotiate for a share of the control of the firm. In fact, the owners of the firm may offer you a share of the control to get you to assess a higher value for the firm.
Firms prefer these alternative approaches because they seem less subjective and much simpler…
Two widely used measures of value enhancement… The first is a dollar measure of excess returns.. The second is a percentage measure of excess return.
This firm is expected to earn excess returns on current projects and on new projects taken for the next 5 years. The excess returns are expected to last forever on these projects.
Note that there is no value added after year 5.. The new projects taken after that earn no excess returns.. We are also assuming that the projects are taken at the beginning of each year… Hence the present value is discounted back by (n-1) years.
Traditional FCFF… Note that the new investment is shown as net cap ex. The net cap ex in year 5 is estimated based upon the expected growth in earnings in year 6 ($1.125) and the assumption of the return on capital in stable growth of 10%. Investment in year 5 = 1.125/.10 = $11.25 million
The cashflows get discounted back at the cost of capital. Value of the firm is identical to what we obtained with EVA calculation.
EVA’s biggest contribution is the focus on excess returns rather than growth….Note that the MVA correlation with EVA is very similar to the correlation between value to book ratios and returns on capital.
All too often, firms that use EVA judge managers by comparing the EVA generated to what it was last year… In fact, very seldom is the present value of EVA considered when compensating managers.
This is much tougher because you have to assess what markets expect before you can judge how they will react to a given EVA.
Evidence that higher EVA companies are not good investments. The companies that earn the highest EVA make a lower return than the S&P 500..
The companies that reported the highest increases in EVA were not very good investments either (probably because the market expected the EVA to go up even more)
If you want to develop an EVA based investment strategy, you need a model that forecasts expected changes in EVA…..
EVA tends to work best for mature firms with little or no growth potential.