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Free FRM Quantitative Analysis Practice Questions & Answers

400 exam-style Quantitative Analysis questions. Pick your answer, hit Check answer, and see the worked solution — free to start, no signup.

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Question 151
Using Black-Scholes, the price of a European call option increases when:
Select an option first.
Question 152
The forward price of a non-dividend paying stock for delivery in T years is:
Select an option first.
Question 153
A long futures position profits when:
Select an option first.
Question 154
The delta of an at-the-money call option is approximately:
Select an option first.
Question 155
Theta of an option represents:
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Question 156
The Greeks for a put option: which of the following is true?
Select an option first.
Question 157
The put-call parity for European options requires that:
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Question 158
A repo (repurchase agreement) is effectively:
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Question 159
The payoff of a binary (digital) cash-or-nothing call option is:
Select an option first.
Question 160
The payoff of a down-and-out barrier call option is:
Select an option first.
Question 161
The binomial tree model for option pricing becomes the Black-Scholes model when:
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Question 162
A bear spread using put options involves:
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Question 163
The Black model (Black-76) is used to price:
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Question 164
Delta hedging requires dynamic rebalancing because:
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Question 165
Rho of a call option is positive because:
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Question 166
A butterfly spread using calls is constructed as:
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Question 167
A calendar spread (time spread) in options involves:
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Question 168
The payoff of a long forward at maturity for a buyer who agreed to buy at forward price F₀ is:
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Question 169
The key difference between a CDS and a bond purchase from a risk perspective is:
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Question 170
The value of a call option is higher when:
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Question 171
The convexity of a bond is always positive for a straight (option-free) bond because:
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Question 172
A knock-in barrier option:
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Question 173
The total P&L of a delta-hedged long option position over a short period is approximately:
Select an option first.
Question 174
The relationship between the price of a European call and a European put with the same strike and expiry (put-call parity) breaks down for:
Select an option first.
Question 175
Options on dividend-paying stocks are adjusted in the Black-Scholes model by:
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Question 176
A delta-hedged portfolio is gamma-neutral when:
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Question 177
The no-arbitrage condition for a currency forward rate is given by covered interest rate parity:
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Question 178
The gamma exposure of a delta-hedged short option position is:
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Question 179
The futures basis is defined as:
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Question 180
Vanna measures:
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