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Jake1213 · 2020年03月13日

问一道题:NO.PZ2018091705000033

问题如下:


Tom has $100,000 stocks and $100,000 bonds. The $100,000 stocks are in the tax-deferred account and the $100,000 bonds are in the taxable account. We assume that:

1. The stock will provide 6% annually return.

2. The bond will provide 3% annually return.

3. Stock returns in  taxable will be taxed as whole deferred capital gains at a 15% percent rate. Interest income in taxable account is at 30 percent for each year.

4. Contributions in Tax-deferred account are not taxed, but withdrawals from this account will be taxed at 30 percent.

5. Cost basis is equal to 1

Calculate the post-tax value of Tom’s investment after 15 years.


选项:

A.

$304,339

B.

$369,076

C.

$209,876

解释:

A is correct.

考点Types of investment accounts

解析我们先算得放在交税账户中的债券投资在15年后的终值

FVtaxble=100,000[1+0.03(10.3)]15=136,580FV_{taxble}=100,000{\lbrack{1+0.03(1-0.3)}\rbrack}^{15}=136,580 

接着我们继续算得放在递延账户中的股票投资在15年后的终值

FVTDA=100,000(1+0.06)15(10.3)=167,759FV_{TDA}=100,000{(1+0.06)}^{15}{(1-0.3)}=167,759

最后我们把两个资产账户的终值相加便得到Tom15年后投资的总市值

136580 + 167759 = 304,339

老师您好。这道题目中已经有明确描述:3. Stock returns in  taxable will be taxed as whole deferred capital gains at a 15% percent rate. Interest income in taxable account is at 30 percent for each year. 请看高亮部分,如果我没理解错的话应该是说把股票的每年收益最后当作一整个的deferred capital gain,所以最后应该要减去15%的税啊。我并不认同这句话的描述是说15%是taxable账户的税率,因为他已经明确的指出了deferred的状态。麻烦老师解答一下谢谢。


1 个答案

Olive_品职助教 · 2020年03月13日

嗨,努力学习的PZer你好:


3. Stock returns in taxable will be taxed as whole deferred capital gains at a 15% percent rate. Interest income in taxable account is at 30 percent for each year.


这句话的意思是,如果stock被放在taxable account里,那么就是最终交15%TCG。

taxable单词后面少了一个account,我已经补上了。

stock并没有放在taxable account里,这就是这道题的陷阱。stock是放在TDA里的,我们要用的下面一个条件:

4. Contributions in Tax-deferred account are not taxed, but withdrawals from this account will be taxed at 30 percent.


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