# Tag Info

The PCA analysis does not really tell you what the bonds do but it tells you how the rates move together. The variations of $n$ rates (i.e. 1 y, 2y, ...) are split up in (at first) abstract factors like $$\Delta R_i = \sum_{j=1}^n e_{i,j} f_j$$ where $\Delta R_i$ is the change in the rate $i$ and $f_j$ is factor $j$ and $e_{i,j}$ is the (factor loading=) ...
Simply speaking, return means relative amount of extra money earned after investing of some amount of money: Return = $\frac{Received}{Invested}-1$. If you invested \$100 and received \$100, this means you have zero return (\$100/\$100-1). If you invested \$100 and received \$110, your return in 10% (\$110/\$100-1 = 1.1-1 = 0.1 = 10%). Next step is ...