Table 25.6 shows the 5 -year iTraxx index was 77 basis points on January $31,2008$. Assume the risk-free rate is $5 \%$ for all maturities, the recovery rate is $40 \%$, and payments are quarterly. Assume also that the spread of 77 basis points applies to all maturities. Use the DerivaGem CDS worksheet to calculate a hazard rate consistent with the spread. Use this in the CDO worksheet with 10 integration points to imply base correlations for each tranche from the quotes for January $31,2008$.