Workplace reviews and discussion: 凱基證券股份有限公司

Personally experience the plot of a local soap opera

Question 1

A non-dividend-paying risky asset represents the commercial activity index around Taipei 101. A Black researcher riding the high-speed rail notices that the index exhibits a brief but significant amplification of price volatility during an international exhibition.

If an investor incorrectly calculates the price of a one-year at-the-money European call warrant based on a single constant volatility, which statement most likely correctly describes the source of the pricing error?

A Ignoring the increase in average returns during the exhibition

B Ignoring the impact of the volatility term structure on option convexity

C Ignoring short-term changes in the risk-free interest rate

D Ignoring the immediate impact of high-speed rail passenger volume on the spot price

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Question 2

An investor compares two models at 7-ELEVEN:

Model 1 assumes volatility is constant;

Model 2 assumes volatility increases with foot traffic during specific periods.

The difference in the two models’ pricing of a one-year European call warrant primarily arises from which mathematical property?

A The linear dependence of the warrant price on average returns

B The convexity of the warrant price with respect to volatility

C The symmetry of the warrant price with respect to the strike price

D The discontinuity of the warrant price with respect to time to maturity

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Question 3

Before purchasing a suitcase, an investor considers allocating a very small position to a warrant and uses the expected logarithm of terminal wealth as the performance metric.

Under this setup, which condition most strongly guarantees that the warrant will improve the portfolio’s annualized performance under a first-order approximation?

A The warrant is underpriced under the risk-neutral measure

B The warrant’s return under the physical measure is highly correlated with the market return

C The warrant’s risk-adjusted return under the physical measure is positive

D The warrant has a high probability of being in the money at expiration

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Question 4

A manufacturer of plastic products notices that fluctuations in raw-material prices change the market’s view of overall uncertainty, thereby affecting the warrant’s implied volatility.

If this uncertainty cannot be described precisely by a single probabilistic model, which concept is most appropriate for analyzing this type of warrant-pricing problem?

A The complete-market assumption

B Arbitrage pricing theory

C Robust pricing under model uncertainty

D Mean-variance analysis

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Question 5

A researcher discovers that shocks to egg prices simultaneously affect the spot price and the market’s subjective assessment of future risk.

In this situation, which traditional option-pricing assumption is most likely to fail first?

A The market is free of arbitrage

B Investors can short freely

C Volatility is exogenous and observable

D The risk-free interest rate is constant

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Question 6

An investor standing in front of Taipei 101 with a suspicious expression questions:

“ In a no-dividend market, a warrant is merely a duplicate representation of the spot asset.”

Which statement most precisely identifies the theoretical non-redundancy of warrants?

A Warrants can improve market liquidity

B Warrants provide an alternative to linear exposure

C Warrants introduce exposure to volatility and higher-order risks

D The warrant price can be derived directly from the spot price