Math $132,$ Project $2-$ Interest Rates

The following table shows the stock valons of Qualooems stock from January, $2023,$ to January, $2024.$ Here wh $=107\mathrm{.}20$ denotes the valoe at the beginning of Janumry $2023,up$ to $v_{13}=140\mathrm{.}23$ denoting the valoe at the beginning of Jamary $2084.$

$\backslash$table$[[$Date$,$Closing value $($ v $))$ in $9,$monthly tate $(r{a}_i),$contimues monthly rate $($a$)],[$Janunry $2023,$$$107\mathrm{.}20,,],[$February $2023,$$$138\mathrm{.}46,,],[$March $2023,$$$123\mathrm{.}68,,$E$-],[$Apeil $2023,$$$124\mathrm{.}74,,],[$May $2023,$$$115\mathrm{.}84,,],[$June $2023,$$$115\mathrm{.}83,8,],[$July $2023,$$$120\mathrm{.}09,,],[$Angust $2023,$$$132\mathrm{.}08,,],[$September $2003,$$$115\mathrm{.}39,,],[$October $2023,$$$111\mathrm{.}10,,],[$November $2003,$$$110\mathrm{.}89,,$