Lecture 8: Exotic options Flashcards
Exotic options: - ?? & ? options - traded ? - advantages: > help manage ? that can't be easily handled by plain vanilla options like European and American > ? > avoid regulation > exploit expectation
Exotic options: - non-standard & customised options - traded OTC - advantages: > help manage risks that can't be easily handled by plain vanilla options like European and American > cheaper > avoid regulation > exploit expectation
Asian options:
Payoff depends on ?? of u.a. during option’s life => ‘?dependent’
- usually worth ? than equivalent plain vanillas bec average price of u.a. is ? volatile
- Asian options:
Payoff depends on average price of u.a. during option’s life => ‘path dependent’
- usually worth less than equivalent plain vanillas bec average price of u.a. is less volatile
2 types of Asian options:
- ’??’: average price of u.a. = ? price in payoff
- ’??’: average price of u.a. = ? price in payoff
2 types of Asian options:
- ‘Average strike’: average price of u.a. = strike price in payoff
- ‘Average price’: average price of u.a. = asset price in payoff
Asian options - Types & Payoff:
- Average price call: Max( ???, 0)
- Average price put: Max ( ???, 0)
- Average strike call: Max ( ???, 0)
- Average strike put: Max ( ???, 0)
- Asian options - Types & Payoff:
- Average price call: Max( S_average - K, 0)
- Average price put: Max ( K - S_avg, 0)
- Average strike call: Max ( S_T - S_avg, 0)
- Average strike put: Max ( S_avg - S_T, 0)
Bermudan options:
Exercise is restricted to particular ? or in a period.
- ? (?) flexible than European (American)
=> price is ? (?) than European (American)
- Bermudan options:
Exercise is restricted to particular dates or in a period.
- More (less) flexible than European (American)
=> price is higher (lower) than European (American)
Barrier options: either comes into existence (‘Knock in’) or ceases to exist (‘Knock out’) if an agreed barrier is reached.
- Barrier options: either comes into existence (‘Knock in’) or ceases to exist (‘Knock out’) if an agreed barrier is reached.
Rebate Barrier options: make a fixed payment if the barrier is hit during option’s life
- Rebate Barrier options: make a fixed payment if the barrier is hit during option’s life
Barrier Options will never pay off more than plain vanilla.
=> less expensive
but still allows us to hedge in a similar way as plain vanillas with extremes removed.
- Barrier Options will never pay off more than plain vanilla.
=> less expensive
but still allows us to hedge in a similar way as plain vanillas with extremes removed.
- Chooser options:
After a specified time during option’s life, option holder can choose whether the option is a call or put.
- whether it’s a put or call is determined by Max (c, p)
=> moneyness is key.
- Chooser options:
After a specified time during option’s life, option holder can choose whether the option is a call or put.
- whether it’s a put or call is determined by Max (c, p)
=> moneyness is key.
- Lookback options:
Payoff = Minimum or Maximum asset price during option’s life.
e.g. Lookback call allows holder to buy u.a. for its lowest trading price.
- useful if trader knows they have to buy/ sell u.a.
- Lookback options:
Payoff = Minimum or Maximum asset price during option’s life.
e.g. Lookback call allows holder to buy u.a. for its lowest trading price.
- useful if trader knows they have to buy/ sell u.a.
- Gap options:
Consider a plain - vanilla call:
Payoff = Max (S_T - K, 0)
Range payoff = (S_T > K)
Magnitude of payoff = S_T > K
=> K determines plain - vanilla ‘s range and magnitude.
- Gap options separate these, e.g. payoff of Gap = S - 90 when S >= 100.
- Gap options:
Consider a plain - vanilla call:
Payoff = Max (S_T - K, 0)
Range payoff = (S_T > K)
Magnitude of payoff = S_T > K
=> K determines plain - vanilla ‘s range and magnitude.
- Gap options separate these, e.g. payoff of Gap = S - 90 when S >= 100.
- Gap option:
The term ‘option’ for a gap put can be misleading because in certain situations (see graph in notes) gap option ? requires holder to pay additional amount.
- Gap option:
The term ‘option’ for a gap put can be misleading because in certain situations (see graph in notes) gap option unexercised requires holder to pay additional amount.
- Gap options still attractive bec it fully protects the holder if loss > particular amount and gap options are cheaper than plain vanillas.
- Gap options still attractive bec it fully protects the holder if loss > particular amount and gap options are cheaper than plain vanillas.
- Compound options: an option on an option:
Call on Call
Call on Put: right but not obligation to buy the right but not obligation to sell u.a.
Put on Call
Put on Put
- Compound options: an option on an option:
Call on Call
Call on Put: right but not obligation to buy the right but not obligation to sell u.a.
Put on Call
Put on Put
- Value of Compound Call = Max ( c - X, 0)
X: strike price of compound, i.e. price at which holder can buy or sell u.a.
- Value of Compound Call = Max ( c - X, 0)
X: strike price of compound, i.e. price at which holder can buy or sell u.a. => similar to option premium of a plain-vanilla.