A RISK ANALYST IS ESTIMATING THE VARIANCE OF STOCK RETURNS ON DAY N...

4.

A risk analyst is estimating the variance of stock returns on day n, given by , using the equation

where and

represent the return and volatility on day n-1, respectively.

If the values of

α

and

β

are as indicated below, which combination of values indicates that the variance

follows a stable GARCH (1,1) process?

a.

α

= 0.084427 and

β

= 0.909073

b.

α

= 0.084427 and

β

= 0.925573

c.

α

= 0.084427 and

β

= 0.925573

d.

α

= 0.090927 and

β

= 0.925573

The following information applies to questions 5 and 6.

A portfolio manager holds three bonds in one of his portfolios and each bond has a 1-year default probability of

15%. The event of default for each of the bonds is independent.