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Zorluk: Çok zorMust Be True Questions

Under recently enacted financial statutory guidelines, every institution acting as a primary market maker is subject to strict liquidity stress tests. Any institution subject to strict liquidity stress tests is required to hold a minimum reserve of sovereign treasury bonds. Furthermore, no institution that is required to hold a minimum reserve of sovereign treasury bonds is permitted to engage in unregulated proprietary trading. Most institutions that act as primary market makers are currently categorized by regulators as systemically important. However, it is a matter of public record that some institutions categorized as systemically important do engage in unregulated proprietary trading.

Based on the information provided above, which of the following must be true?

  1. A
    Any institution that is not permitted to engage in unregulated proprietary trading is subject to strict liquidity stress tests.
  2. B
    An institution that does not act as a primary market maker is permitted to engage in unregulated proprietary trading.
  3. At least one institution categorized as systemically important is not permitted to engage in unregulated proprietary trading.Cevap
  4. D
    Most institutions that are subject to strict liquidity stress tests are categorized as systemically important.
  5. E
    An institution cannot be categorized as systemically important unless it is required to hold a minimum reserve of sovereign treasury bonds.

Cevap

At least one institution categorized as systemically important is not permitted to engage in unregulated proprietary trading.
The correct answer synthesizes the conditional chain with a quantifier statement to yield a mathematically certain deduction. The stimulus establishes that all primary market makers must take stress tests, which requires holding treasury bonds, which in turn forbids unregulated proprietary trading. Therefore, all primary market makers are forbidden from unregulated proprietary trading. The text also states that most primary market makers are systemically important. Since more than half of primary market makers are systemically important, and absolutely every primary market maker is forbidden from proprietary trading, those specific overlapping institutions must be systemically important and forbidden from proprietary trading. This guarantees that at least one systemically important institution is not permitted to engage in unregulated proprietary trading.

Adım Adım Çözüm

1
Map the conditional rules applying to primary market makers (PMM).
PMM → Strict Liquidity Stress Tests (SLST) → Minimum Reserve of Treasury Bonds (MRTB) → NOT permitted to engage in Unregulated Proprietary Trading (~UPT).
To establish the full chain of mandatory constraints acting upon any institution acting as a primary market maker.
2
Simplify the conditional chain to connect the first sufficient condition to the final necessary condition.
If an institution is a primary market maker, it is categorically forbidden from engaging in unregulated proprietary trading (PMM → ~UPT).
To make the overarching relationship between the start and end variables explicit for easier synthesis with the quantifier statements.
3
Integrate the 'most' quantifier statement with the deduced conditional rule.
We are given that 'Most PMMs are Systemically Important (SI)'. Since we know absolutely all PMMs are forbidden from UPT (PMM → ~UPT), it follows that those specific PMMs that are systemically important are also forbidden from UPT.
Because the 'most' quantifier guarantees an overlap of at least one institution (more than half), and the universal rule applies to all PMMs within that overlap.
4
Formulate the final necessary deduction based on the intersection established.
There must be at least one institution that is both systemically important and forbidden from engaging in unregulated proprietary trading.
This exactly matches the logical deduction that 'some systemically important institutions are not permitted to engage in unregulated proprietary trading', which is 100% provable from the text.

Anahtar Kavram

Synthesizing conditional logic chains with existential and majoritarian quantifiers.
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