A stock that has had the following year$-$end prices and dividends:

Year Price Dividend

$0$ $$85\mathrm{.}18---$

$1$ $$90\mathrm{.}35$ $$0\mathrm{.}55$

$2$ $$88\mathrm{.}49$ $$0\mathrm{.}75$

$3$ $$92\mathrm{.}05$ $$0\mathrm{.}90$

Compute $($i$)$ the holding period return over the $3-$year period; and $($ii$)$ the average annual rate of return that bases on the rebalancing strategy.

b$.$ On November $9,2023($Thursday$),$ you purchased $$800,000$ of the following Treasury bond:

Maturity Coupon Bid Asked

$3/15/20414\mathrm{.}75098\mathrm{.}05698\mathrm{.}066$

Compute the $($i$)$ accrued interest and $($ii$)$ invoice $($dirty or full$)$ price of the transaction. You are REQUIRED to show $($explicitly$)$ your day counting used in your analysis!