What is the difference between pure risk and speculative risk?
Pure risk: Chance of loss or no loss only (e.g., car accident).
Speculative risk: Chance of loss, no loss, or gain (e.g., oil price changes).
What is hedging?
An investment to protect finances from a risky situation, often using derivatives. Not speculation—it involves offsetting a position.
What is the key difference between a forward and a futures contract?
Futures are standardized, exchange-traded, marked-to-market daily, require margin, and reduce counterparty risk. Forwards are customized, OTC, and settled at maturity.
Give two examples of how businesses hedge against speculative risks.
Airlines hedge against crude-oil price increases.
2. Monsanto uses futures to hedge against soybean and corn price increases.
What is a financial derivative?
A contract whose payoff depends on the value of an underlying asset (e.g., commodities, currency, stocks, indexes).
What are the main types of derivatives?
Forwards
Futures
Options
Others: swaps, caps, floors
Define a forward contract.
A private, OTC agreement to buy/sell an asset at a future date at a price set today. Features: no money down initially, linear payoff, counterparty risk.
Define a futures contract.
Similar to a forward but standardized, exchange-traded, marked-to-market daily, and requires margin. Reduces counterparty risk.
What is a long forward position?
Obligation to buy the asset at the forward price. Protects against price increases.
What is a short forward position?
Obligation to sell/deliver the asset at the forward price. Protects against price decreases.
How is the forward/futures price determined?
FW = SP X (1+c)^n
How is the forward/futures price determined?
FW = Forward Price
SP = Current spot price
c = carrying cost rate (opportunity cost of buying or selling forward rather than now)
n = number of years till maturity
What is an option?
A derivative giving the buyer the right but not obligation to buy/sell an asset at a strike price by expiration, in exchange for a premium.
What is a call option?
Right to buy the underlying asset at the strike price. Used to hedge against price increases.
What is a put option?
Right to sell the underlying asset at the strike price. Used to hedge against price decreases.
When is a call option “in-the-money”?
When settlement price > strike price.
Exercise only if in-the-money.
When is a put option “in-the-money”?
When settlement price < strike price.
Exercise only if in-the-money.
European vs. American options
European: Can only be exercised at expiration.
American: Can be exercised anytime before expiration.
Option payoff formulas at maturity
Call payoff: C ∗ = max(S∗−K,0)
Put payoff: P∗ = max (K− S∗, 0)
Ct = value of a call option (on a given day t)
Pt = value of a put option (on a given day t)
St = value of underlying asset, stock or commodity (on a given day t)
K = strike price (exercise price)
* = denotes the values at maturity
What is an option spread?
Buying and selling options with different strikes to limit risk/cost (e.g., buying a call at K and selling a call at K+d).
Where are derivatives traded?
Over-the-counter (OTC): Customized, private.
Exchange-traded: Standardized, public (e.g., CME, TSX, CBOE).
Key features of forward contracts
Linear payoff
No money down initially
Settlement at maturity
Counterparty risk
Customizable (OTC)
Key features of futures contracts
Standardized
Daily marking-to-market
Margin required
Exchange-traded
Lower counterparty risk
Define exposure, peril, and financial consequence in personal risk.
Exposure: Something of value that presents a chance of loss.
Peril: The event that causes the loss.
Financial consequence: The monetary impact of the loss (direct or indirect).
What are the three main personal risk treatment options?
Risk avoidance
Risk reduction
Risk transfer (e.g., insurance)