You purchased a property $4$ years ago for $$959,000.$ The purchase was financed using a $70\mathrm{.}00\%$ Loan to Value ratio, constant payment loan at $5\mathrm{.}15\%$ annual interest rate. The loan is fully amortising with monthly payments and a term of $30$ years. During this time, the house appreciated at the following rates $($assume annual compounding$)$: Year $1-7\mathrm{.}00\%$; Year $2-6\mathrm{.}00\%$; Year $3-5\mathrm{.}00\%$; Year $4-3\mathrm{.}00\%.$ Calculate the average home equity appreciation rate over this period $($assume annual compounding$).$ Enter your answer rounded to nearest whole number without the percentage sign $($e$.$g$.45\mathrm{.}67\%$ is entered as $46).$