Suppose you are a thirty-year-old worker choosing between an IRA, a ROTH IRA and aregular brokerage account. Your marginal federal tax rate is 15% now and 15% inretirement. Your investment of $1000 of reduction of current consumption will earnbefore tax return of 7% for 35 years (note, this means that you invest approximately$1176=$1000/(1-.15) for a regular IRA, getting back $176 as reduced taxes, in the firstexample, while you invest $1000 for the other two types of accounts). The tax oninvestment returns on a regular brokerage account is 10% (meaning you earn a 6.3%after tax annual yield).
a)Compare after-tax returns on all three forms of investment. Rank the investmentoptions.
b) Suppose your tax rates are 30% now and 15% in retirement: what is the bestoption now? Please be sure to keep the initial decrease in consumption (after-taxincome) constant.
c) What if the rates are 15% now and 30% in retirement?
d) Suppose the marginal tax rate now is 15%. What would future marginal tax ratehave to be for a regular brokerage account to be a better option than a regularIRA?