VALUATION METHOD - SEMI-FINAL Flashcards
(65 cards)
1997 Nobel Prize (Black-Scholes Option Pricing Model)
- Robert Merton
- Myron Scholes
- Fischer Black
Common Techniques:
- derived from Black and Scholes’ insights
- Black-Scholes Option Pricing Model
- Binomial Option Pricing Model
- Risk-Neutral Probabilities
- Risk and Return of an Option
- Corporate Applications of Option Pricing
- gives holder the right (but not the obligation) to purchase an asset at
some future date.
Call Option
gives the holder the right to sell an asset at some future date.
Put Option
- the price at which the holder agrees to buy or sell the share of stock when the option is exercised.
Strike Price or Exercise Price
- the last date on which the holder has the right to exercise the option.
Expiration Date
can be exercised on any date up to, and including the exercise date.
American Option
- can be exercised only on the expiration date.
European Option
- it can be derived from the Binomial Option Pricing Model by making the length of each period, and the movement of the stock price per period, shrink to zero and letting the number of periods grow infinitely large.
Black-Scholes Option Pricing Model
5 Input Parameters to Price the Call
- Stock Price
- Strike Price
- Exercise Date
- Risk-free Rate
- Volatility of the Stock
- an option can be valued using a portfolio that replicates the payoffs
of the option in different states.
Binomial Option Pricing Model
it assumes two possible states for the next time period, given today’s
state.
Binomial Option Pricing Model
the value of an option is the value of the portfolio that replicates its
payoffs. The replicating portfolio will hold the underlying asset and
risk-free debt, and will need to be rebalanced over time.
Binomial Option Pricing Model
- a portfolio of other securities that has exactly the same value in
one period as the option.
Two-State Single-Period Model
- there are more than two possible outcomes for the stock price in
the real world.
Multiperiod Model
- also known as state-contingent prices, state prices, or martingale
prices. - probabilities under which the expected return of all securities equals
the risk-free rate.
Risk-Neutral Probabilities
- these probabilities can be used to price any other
asset for which the payoffs in each state are known.
Risk-Neutral Probabilities
- in a binomial tree, the _____________ p that the stock price
will increase is given by
Risk-Neutral Probabilities
any security whose payoff depends solely on the prices of other
marketed assets.
Derivative Security
the basis for a common technique for pricing derivative securities
called Monte Carlo simulation.
Risk-Neutral Pricing Method
In the randomization, the ______________ are used, and so the average payoff can be discounted at the risk-free rate to estimate the derivative security’s value.
risk-neutral probabilities
the beta of an option can also be calculated by computing the beta of
its replicating portfolio.
Risk and Return of an Option
as the stock price changes, the beta of an option will change, with its
magnitude falling as the option goes in-the-money.
Risk and Return of an Option
for stocks with positive betas, calls will have larger betas than the
underlying stock, while puts will have negative betas. The magnitude of the option beta is higher for options that are further out of the money.
Risk and Return of an Option