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Christinafx · 2024年05月23日

875,000是怎么算出来的

NO.PZ2021090803000002

问题如下:

Private wealth manager Udaga Wacho is discussing a decumulation strategy with client Dogenza Ka. The strategy involves two of Ka’s accounts, a taxable account and a tax-exempt account, and will allow Ka to withdraw $200,000 each year. Both accounts have a current balance of $1 million.

Ka asks Wacho if he should withdraw funds from the taxable account first until it is depleted prior to withdrawing from the tax-exempt account, or vice versa. Wacho reviews the accounts to make a recommendation; he assumes a fixed, pre-tax rate of return of 10% for both accounts and that earnings in the taxable account are taxed at a fixed effective rate of 25%. Wacho recommends that Ka withdraw funds from the taxable account first until it is depleted prior to withdrawing from the tax-exempt account.

Discuss why Wacho’s recommended decumulation strategy is the more tax-efficient strategy.

选项:

解释:

Wacho’s recommendation to withdraw funds from the taxable account first until it is depleted prior to withdrawing from the tax-exempt account is the more tax-efficient decumulation strategy. The tax-exempt account will compound at a higher rate (the pre-tax rate of 10%) than the taxable account (with an after-tax rate of 10% × (1 − 0.25) = 7.5%). With a fixed tax rate, it is optimal to make withdrawals from the taxable account first and allow the tax-exempt account to continue to compound. The two tables below demonstrate this outcome over the first 10 years: At the end of 10 years, the ending balance is larger under the tax-aware strategy ($1,800,752) than under the tax-indifferent strategy ($1,480,097).


如题,在A方法中,麻烦老师列出year-end taxable account balance 在第一年那一行中的875,000怎么算出来的

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王暄_品职助教 · 2024年05月23日

1000000(1+10%(1-25%))-200000=875000

Christinafx · 2024年05月23日

谢谢老师!

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