Arvind bought $1,000$ shares in CIBC on December $14,2022,$ when the share price was at $$\frac{62\mathrm{.}75}{?}$ share. In $2023,$ he was paid dividends on the CIBC shares four times throughout the year. Arvind received four direct deposits in his investment account throughout the year as per the table below $("$Amount$"$ represents the dividends paid per share$).$ Arvind knows that the dividend income received is subject to tax as he is holding the shares in a non$-$registered account. He also knows that the Record Date determines ownership of the shares which entitles the owner to receive the dividend payment. After holding the shares for a year, Arvind is thinking of selling his CIBC shares on December $15,2023,$ even though this would result in selling his shares at a loss. He is hoping that the share price on the day that he sells is at least $$\frac{55}{?}$ share. If the CIBC shares do indeed reach $$\frac{55}{?}$ share on December $15,2023,$ what would be Arvind's Holding Period Return $($HPR$)$ for this stock that pays dividend income?

$\backslash$table$[[$Ex$-$Date,Record Date,Pay Date,Declared Date,Type,Amount$],[$Sep $27,2023,$Sep $28,2023,$Oct $27,2023,$Aug $31,2023,$Normal,$0\mathrm{.}87],[$Jun $27,2023,$Jun $28,2023,$Jul $28,2023,$May $25,2023,$Normal,$0\mathrm{.}87],[$Mar $27,2023,$Mar $28,2023,$Apr $28,2023,$Feb $24,2023,$Normal,$0\mathrm{.}85],[$Dec $23,2022,$Dec $28,2022,$Jan $27,2023,$Dec $01,2022,$Normal,$0\mathrm{.}85]]$

a$)-6\mathrm{.}87\%$

b$)-12\mathrm{.}35\%$

c$)-15\mathrm{.}09\%$

d$)14\mathrm{.}09\%$

e$)20\mathrm{.}35\%$