Answer:
taxable is $50,000
Explanation:
given data
purchased residence = $500000
sell house = $800000
to find out
How much of the gain is taxable
solution
we know that tax code permits the first $50000 of capital gain from sale of a personal residence to be excluded from tax for married couple
and residence can't rent out for more than 3 years of preceding 5 years
so owner use 2 years of past 5 years
and here
sold in $800000
so gain is = 800000 - 500000 = $300000
and here excluded from tax = $300000 - $50000
excluded from tax = $250000
so taxable is $300000 - $250000
the present value of the annuity = $4,523,638
this is an ordinary annuity:
annual payment = $9,420,713 / 20 = $471,035.65
number of periods = 19 periods
interest rate = 8%
therefore, the present value annuity factor = 9.6036
the present value of the annuity = $471,035.65 x 9.6036 = $4,523,637.97 ≈ $4,523,638