CORRECT ANSWERS
Hedging (Chp. 1) ANSW✅✅Guaranteeing a buying or selling price.
Derivative Perspectives (Chp. 1) ANSW✅✅1) End User
2) Market-Maker
3) Economic Observer
Bid Price (Chp. 1) ANSW✅✅The amount that a person will pay for an asset.
Offer Price/Ask Price (Chp. 1) ANSW✅✅The price an asset can be bought for.
Bid-Ask Spread (Chp. 1) ANSW✅✅The difference between the bid and ask prices.
Stock Orders (Chp. 1) ANSW✅✅1) Market Order
2) Limit Order
3) Stop Loss Sales Order
Market Order (Chp. 1) ANSW✅✅Pays the market price (ask/bid) to buy or sell stock immediately.
Limit Order (Chp. 1) ANSW✅✅Specifies the max buying price or min selling price and not fulfilled
until that price is avaliable.
Stop Loss Sales Order (Chp. 1) ANSW✅✅Specifies that the stock is sold if the price decreases to
the specified amount.
Long Position (Chp. 1) ANSW✅✅Positive number of units in which the instrument was bought.
Short Position (Chp. 1) ANSW✅✅Negative number of units in which the instrument was sold.
,Derivative Security (Chp. 1) ANSW✅✅A financial instrument whose value depends on another
security.
Option (Chp. 1) ANSW✅✅An agreement allowing the buyer of the option to buy or sell an asset at
a specific price on a specific day.
Clearinghouses (Chp. 1) ANSW✅✅Matches the buyers and the sellers and keeps track of their
obligations and payments.
Measures of Market Size and Activity (Chp. 1) ANSW✅✅1) Trading Volumne
2) Market Value
3) Notional Value
4) Open Interest
Purpose of Derivatives (Chp. 1) ANSW✅✅1) Risk Management
2) Speculation
3) Reduced Transaction Costs
4) Regulatory Arbitrage
Short Selling Purposes (Chp. 1) ANSW✅✅1) Speculation
2) Financing
3) Hedging
Lease Rate (Chp. 1) ANSW✅✅The annual cost of holding an asset as a percentage of the asset
value.
Repo Rate/Short Rate (Chp. 1) ANSW✅✅Repo: interst rate paid by the lender for bonds.
Short: interst rate paid by the lender for stocks.
Cost of Capital (Chp. 2) ANSW✅✅Interest rate paid to investors of the project.
NPV [Formula] (Chp. 2) ANSW✅✅
,NPV Perpetuity [Formula] (Chp. 2) ANSW✅✅NPV = 1/i
NPV Growth Rate [Formula] (Chp. 2) ANSW✅✅NPV = 1/(i-g)
Break - Even Analysis (Chp. 2) ANSW✅✅Determine the value of each assumption parameter for
which the NPV is 0.
IRR (Chp. 2) ANSW✅✅Internal Rate of Return
Sensitivity Analysis (Chp. 2) ANSW✅✅Caluclating the change in the NPV resulting from a change
in a parameter.
Scenario Analysis (Chp. 2) ANSW✅✅Calculate the NPV for various scenarios.
Risk Measures (Chp. 2) ANSW✅✅1) Variance
2) Semi-Variance
3) VaR
4) TVar
Variance [Formula] (Chp. 2) ANSW✅✅Var(R) = σ² = E[(R - µ)²] = E[R²] - µ²
Standard Deviation [Formula] (Chp. 2) ANSW✅✅SD(R) = √(Var(R)) = σ
Volatility (Chp. 2) ANSW✅✅Standard Deviation = Volatility
Semi-Variance [Downside Semi-Variance] (Chp. 2) ANSW✅✅The square difference from the mean
only when that difference is negative.
Semi-Variance [Downside Semi-Variance] [Formula] (Chp. 2) ANSW✅✅σ² = E[min(0,(R - µ))²]
, Sample Semi-Variance [Sample Downside Semi-Variance] [Formula] (Chp. 2) ANSW✅✅σ² = (1/n)
∑[min(0,(Ri - R))]²
Value-At-Risk [VaR] [Formula] (Chp. 2) ANSW✅✅VaRα(X) = Fx⁻¹(α)
Downside Tail Value-At-Risk [TVaR] [Formula] (Chp. 2) ANSW✅✅TVaRα(X) = E[x|x<VaRα(X)] =
(∫xf(x)dx)/α
Upside Tail Value-At-Risk [TVaR] [Formula] (Chp. 2) ANSW✅✅TVaRα(X) = E[x|x>VaRα(X)] =
(∫xf(x)dx)/(1-α)
Risk Measure Properties (Chp. 2) ANSW✅✅1) Translation Invariance
g(x+c) = g(x) + c
2) Positive Homogeneity
g(cx) = (c)g(x)
3) Subadditivity
g(x+y) ≤ g(x) + g(y) [Upside]
g(x+y) ≥ g(x) + g(y) [Downside]
4) Monotonicity
g(x) ≤ g(y) if Pr(x ≤ y) = 1 [Upside]
g(x) ≥ g(y) if Pr(x ≥ y) = 1 [Downside]
PV with Growth Rate [Formula] (Chp. 2) ANSW✅✅PV = [1 - [(1+g)/(1+r)]ⁿ]/(r-g)
Monte Carlo Simulation (Chp. 3) ANSW✅✅Generates pseudorandom numbers from a
distribution.
Inversion for Exponential [Formula] (Chp. 3) ANSW✅✅u = F(x) = 1 - e∧(-x/θ)
x = -θln(1-u)