Risklatte
Risk Latte - Quiz#1
Market & Credit Risk Quiz
Team Latte
Jan 01, 2006

Quiz # 1

1) Assuming that the number of defability of defaults in the next year, with average number per year being two, is given by:aults in a loan portfolio occurring in a period of time is given by Poisson distribution the prob
a) 3.61%
b) 4.23%
c) 2.09%
d) 5.45%

2) Which of the following relationship is true:

a) Risky Debt = Riskless Debt - Put option(s) on credit risk,
b) Risky Debt = Riskless Debt - Call option(s) on credit risk,
c) Risky Debt = Riskless Debt + Call option(s) on Credit risk,
d) None of the above.

3) Vasicek's Model of Interest Rate is based on:

a) A combination of stochastic volatility and binomial process;
b) An application of an Omstein-Uhlenbeck process of mean reverting drift;
c) A combination of liquidity perference and expectations hypothesis;
d) Two factor model with one for short rate and the other for long rate.

4) A firm has a current asset value of $100 and asset volatility of 40%. The quasi-debt leverage ratio is 60% with a debt maturity at a one year horizon. If the constantly compounded interest rate is 5% the discounted expected recovery value for the debt is:

a) $56.67
b) $32.85
c) $40.00
d) $49.62

5) In the above question(question #4) the probability of default of the risky bond of the firm is:

a) 10.00%
b) 12.45%
c) 13.18%
d) 14.07%

6) A equity derivatives desk of a bank has a $500 million in a fairly iliquid stock (where small amounts of stock can cause a big movement in price). The trader has estimated that the amount of stock that can be transacted in one day without adversely affecting the price is $50 million. If the daily standard deviation of price moves is 1.5% then with a 95% confidence level the amount that the trader should reserve against daily price moves would be:

a) $30.50 million
b) $12.37 million
c) $16.78 million
d) $27.70 million

7)A swaps trader's position has just two cash flows, a 5-year flow of $100 and a 10-year flow of minus $100. The current 5-yr and 10-yr zero coupon rates are 6% and 7% respectively. The 5-year equivalents of the portfolio is:

a) minus $25.3901
b) minus $34.0305
c) plus   $46.5613
d) minus $43.2002

8)In the previous question (question #7) the weighted duration of the portfolio is:

a) minus $126.3901
b) minus $134.2367
c) plus   $167.5003
d) plus   $120.4525

9)One of the best tools for measuring & managing residual options risk on a trading desk is:

a) Price-volatility matrix;
b) Volatility surface of the options book;
c) Vega value-at- risk;
d) None of the above.

10)Carr approach to hedging barrier options uses:

a) Put-Call symmetry and Reflection principle;
b) package of vanila options that expire at different times and using an algorithm that          works backwards;
c) Black-Scholes model with stochastic volatility;
d) None of the above;

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