- derives its value from the price of another underlying asset or an interest rate
- cons: risky, zero-sum game
- pros: provide price information, lower transaction costs, allow the transfer of risk
- arbitrage exists when identical future payoffs, but different market prices
Forward contracts- customized: no active secondary market
- long: obligated to buy; short: obligated to sell
- specified date of future
- if asset price > forward price, long gains
- if asset price < forward price, short gains
- contract settlement
- delivery: short delivers underlying to long for payment of the forward price
- cash settlement
- early termination
- cash settlement (buy out)
- enter into an offsetting contract, with a different/same counterparty
- end user: typically a corporation or institution seeking to transfer an existing risk
- Forward Rate Agreement
- FRA settlement payment to long

- Currency forward contracts: commitments to buy/sell foreign currency for a fixed amount of another currency for specified exchange rate
Futures contracts- exchange traded:minimum price fluctuation(tick), daily price limit
- standardized, regulated contract: quality and quantity of good, delivery time, manner of delivery
- clearinghouse acts as counterparty on all contracts, no default risk
- margin requirements
- initial margin: deposited before trade occurs
- maintenance margin: minimum margin that must be maintained in a future account
- variation margin: funds needed to restore future account to initial margin
- settlement price: average of trades during closing period, used to calculate margin
- marking to market: process of adjusting margin balance in a futures account each day for the change in the futures price (add gains, subtract losses)
- termination methods: reversal(offsetting trade), asset delivery, cash settlement, exchange for physicals(off exchange)
- Eurodollar futures: add-on yield based on 90-day LIBOR
- minimum price change = one 'tick' = price change of 0.01% = $25 per $1 million contract
- S&P 500 index futures: 250 times the level of the index, $250 per change in index point
Option contracts- Call option: right to buy
- Put option: right to sell
- American put option- may be exercised on any trading day on or before expiration
- European put option- may only be exercised on expiration
- Moneyness
- at the money : current price = strike price
- in the money : high prices relative to original price
- out of the money : option has no intrinsic value
- option value = intrinsic value + time value
- intrinsic value = payoff at expiration
- time value = option premium - intrinsic value
- Interest rate options: payoff based on the difference between a floating rate(LIBOR) and the strike rate
- payoff on interest rate call = Max[0, (LIBOR-strike rate)] x notional amount (long gains when rates rise)
- payoff on interest rate put = Max[0, (strike rate-LIBOR)] x notional amount (long gains when rates fall)
- payoffs made at the end of the interest rate term, after expiration
- cap: maximum on an issuer's payments on a floating rate debt
- equivalent to series of long interest rate calls
- makes payments to issuer when floating rate > cap rate
- put: minimum on an issuer's payments on a floating rate debt
- equivalent to series of short interest rate puts
- receives payments from issuer when floating rate < floor rate
- Put-Call parity S+P = C+X(discounted)
- Option values increase when
- time to expiration increases
- greater price volatility
- increase in RFR
- if the asset has positive cash flows, cost of the asset is reduced by the PV of the cash flows
Swaps- equivalent to a series of forward contracts
- notional principal: used to calculate periodic payments
- floating rate: usually LIBOR
- tenor: time period covered by swap
- settlement dates: payment due dates
- Interest rate swap : one party exchanges a stream of interest payments for another party's stream of cash flows
- Plain Vanilla Interest Swap
- fixed interest rate payments in exchange for floating rate psyments
- notional amount not exchanged
- interest payments are netted
- payment is made at end of period based on beginning of period LIBOR
- Equity swap: equity returns exchanged with fixed/floating rate payments
- equity return payer: receives interest payment, pays on positive equity return
- interest payer: pays interest payment, pays any negative equity return
- Total return swap : party A pays the total return of an asset, and party B makes periodic interest payments
- Currency swap : a foreign exchange agreement between two parties to exchange a given amount of one currency for another and, after a specified period of time, to give back the original amounts swapped
Option strategies- covered call: writer owns the stock and sells a call, any loss will be reduced by premium received; writer trades the stock's upside potential for the fixed option premium
- protective put: put buyer owns the stock and a put; put buyer pays for protection against any stock price below the strike price
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