Q$80.$ You recently wan a lattery and have the option of recelving one of the lollowing three prizes: $(1)$ $$100\mathrm{.}000$ cash immediately. $(2)$ $$35\mathrm{.}000$ cash immediately and a six$-$year annual annuty of $$14\mathrm{.}000$ beginning one year from coday, or $(3)$ a slx$-$year annual annuity of $$20\mathrm{.}000$ beginning loday.

Required: Assuming an interesi sare of $6\%$ compounded annually, determine the present value for the above options. Which option shauld you choose?

$\backslash$table$[[,\backslash$table$[[$Future$],[$Vaiue of $1]],\backslash$table$[[$Present$],[$Value of $1]],\backslash$table$[[$Future value$],[$oftan$],[$ordinary$],[$annuity$]],\backslash$table$[[$Presene value$],[$of an ardinary$],[$annuity$]],\backslash$table$[[$Present value$],[$af an annuity$],[$due$]],1],[6,1\mathrm{.}41852,0\mathrm{.}70496,0\mathrm{.}9753,4\mathrm{.}91732,5\mathrm{.}21236,6\%$