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### Real Option

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# Real Option

By | August 2012
Page 1 of 16
University of Gothenburg
School of Business, Economics and Law
Industrial & Financial Management

Case Study 2
Capital Budgeting and Real Options
Block II: Real Options
Applied Real Options Analysis
PART 1: OPTION VALUATION
PART 2: LABORATORY EXPERIMENTS
PART 3: ESSAY QUESTION

Authors:
EmilAlmefors 860917
Patrik Nilsson 870512
Emil Stribrand 880113
Course responsible: Taylan Mavruk

Innehållsförteckning
Part 1: Option valuation3
Financial option3
1.Call, Put, and Sensitivity Analysis3
Real option6
2.Option to abandon6
3.Option to expand7
4.Option to contract8
5.Option to choose (multiple interacting options)9
6.Sensitivity analysis10
Part 2: Laboratory experiments12
A.Different times to maturity12
B.Uncertainty and option values14
C.The Binomial Model v. the Black-Scholes Model (closed-form)16
D.Dividend/Value leakage and option values18
E.Sequential compound option19
4.Estimating volatility22
Part 3: Essay question25
Reference30

Part 1: Option valuation

Financial option
1. Call, Put, and Sensitivity Analysis

Calculate the price of a six-month European call option on a nondividend-paying stock when the stock price is \$42, the strike price is \$40, the risk-free interest rate is 10% per year, and the volatility is 20% per year.

a) Use a binomial tree with a time interval of one month.

The call option’s value is ~4,82.

b) Use a B-S Model

When we use the B-S model, the value of the option’s value is ~4,76.

c) Application of the Greek Letters.
Calculate Delta, Gamma, Rho, Theta, Vega, and Xi of the call option in question b.

See the table above for values of the Greek letters.

d) What is the price of a put option with the same variables (using...

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