Suppose you have deposited $$50,000$ at a nominal interest rate, $j_4=0\mathrm{.}08$ on January $1^{st}$ of $2023$ that you like to withdraw on November $1^{st},2026.$ How much accumulated value you will receive?

Please calculate the accumulated value with both exact and practical methods of using fractional period of time. For both the methods, please calculate separately considering fractional number of months and fractional number of days. Please try to fill in the box provided below with your suggested answers:

$\backslash$table$[[,\backslash$table$[[$Deposited$],[$on$]],$Method,$\backslash$table$[[$Consideration$],[$for$]],\backslash$table$[[$Interest$/],[$period$]],\backslash$table$[[$Compound$],[$Int$.$ periods$]],\backslash$table$[[$Simple$],[$Interest$]],\backslash$table$[[$Maturity$],[$Value on$]]],[,\backslash$table$[[\backslash$table$[[$January $1$st$,],[2023]]]],,\backslash$table$[[$Fractional$],[$period$]],$i$=$j$\_(4)/4,$n$,\backslash$table$[[$Months $/],[$Days$]],\backslash$table$[[$November$],[1$st $2026]]],[1,\backslash$table$[[$$ $50,000]],\backslash$table$[[$Exact$],[$Method$],[$Exact$]],\backslash$table$[[$Months$]],\backslash$table$[[0\mathrm{.}02]],,,],[2,$$ $50,000,$Method,Days,$0\mathrm{.}02,,,],[3,$$ $50,000,\backslash$table$[[$Practical$],[$Method$]],$Months,$0\mathrm{.}02,,,],[4,$$ $50,000,$Method,Days,$0\mathrm{.}02,,,]]$