Komiko Tanaka invests $$16,000$ in LymaBean, Incorporated. LymaBean does not pay any dividends. Komiko projects that her investment will generate a $10$ percent before$-$tax rate of return. She plans to invest for the long term.

Note: For all requirements, do not round intermediate calculations. Round your final dollar amounts to the nearest whole dollar and round your final percentage to $2$ decimal places. Required:

a$.$ How much cash will Komiko retain, after$-$taxes, if she holds the investment for five years and then she sells it when the long$-$term capital gains rate is $15$ percent?

b$.$ What is Komiko's after$-$tax rate of return on her investment in part $($a$)?$

c$.$ How much cash will Komiko retain, after taxes, if she holds the investment for five years and then sells when the long$-$term capital gains rate is $25$ percent?

d$.$ What is Komiko's after$-$tax rate of return on her investment in part $($c$)?$

e$.$ How much cash will Komiko retain, after taxes, if she holds the investment for $15$ years and then she sells when the long$-$term capital gains rate is $15$ percent?

f$.$ What is Komiko's after$-$tax rate of return on her investment in part $($e$)?$