AsHOMEWORKLIB Rule. I solved A&B
Answers
a.
Accumulation if she keeps funds in traditional IRA
$88910 [$46,000 × 1.05620 × (1 - .35)]
Accumulation if she rolls funds into Roth IRA: $108514
Step 1 : Total accumulation (before considering
opportunity cost of tax cost of rolling
over) = $46000 ×
1.05620 = $136784
Step 2 : ($11500) × 1.04620 = ($28270) opportunity cost for having to pay tax on rollover (by rolling over traditional IRA, Yuki will have to pay $11500 in taxes ($46,000 × 25%). Because she pays $11500 in taxes with funds that are outside her retirement accounts, she will miss the opportunity of generating a 4.6% after-tax rate of return on the $11500 for 20 years.
Step 3 : Accumulation of Roth IRA net of opportunity cost associated with taxes paid on rollover = $108514 ($136784 - $28270).
Accumulation if she rolls traditional IRA into a Roth IRA : $19604
Roth IRA accumulation $108514 minus traditional IRA accumulation $88910 = $19604 greater accumulation if she rolls over traditional into Roth IRA.
b.
Accumulation if she keeps funds in traditional IRA : $109427
109427 [$46,000 × 1.05620 × (1 - .20)]
Accumulation if she rolls funds into Roth IRA: $108514
Step 1 : Total accumulation (before considering
opportunity cost of tax cost of rolling
over) = $46000 ×
1.05620 = $136784
Step 2 : ($11500) × 1.04620 = ($28270) opportunity cost for having to pay tax on rollover (by rolling over traditional IRA, Yuki will have to pay $11500 in taxes ($46,000 × 25%). Because she pays $11500 in taxes with funds that are outside her retirement accounts, she will miss the opportunity of generating a 4.6% after-tax rate of return on the $11500 for 20 years.
Step 3 : Accumulation of Roth IRA net of opportunity cost associated with taxes paid on rollover = $108514 ($136784 - $28270).
Accumulation if she rolls traditional IRA into a Roth IRA : $913
When she withdraws the retirement funds in 20 years, she expects her marginal tax rate to be 20%.
$913 lower accumulation if she rolls over traditional IRA into Roth IRA (greater accumulation if she does not rollover). See calculations below:
Roth IRA accumulation $108514 minus traditional IRA accumulation $109427 = ($913) Lower accumulation if she rolls over traditional into Roth IRA.
Yuki (age 45 at year-end) has been contributing to a traditional IRA for years (all deductible...
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