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金融民工阿聪 · 2023年01月30日

关于tax-deferred account的定义

NO.PZ2021090804000007

问题如下:

Johnson is a tax adviser who provides tax awareness advice to private clients. One of Johnson’s clients is Lily.who currently has $10 million invested in a tax-deferred account earning 8% per year.Lily will sell the investment at the end of the five years, withdraw the proceeds from the sale in a lump sum( withdrawn are taxed at a 20% rate.), and use the proceeds to purchase the villa.

Lily asked Johnson to calculate the available after-tax wealth after five years.

The after-tax wealth in Lily’s tax-deferred account at the end of the five years will be closest to:

选项:

A.$13,636,664. B.$11,754,624 C.$14,693,280

解释:

B is correct.

The value of a tax-deferred account compounds using the pre tax returns and pays tax only when assets are withdrawn from the account. Lily withdraws the proceeds at the end of her five-year holding period.The value of the assets withdrawn from the tax-deferred account is calculated as follows:

FV = PV × (1 + R)n × (1 − t),

where R is the portfolio pretax return.

FV = $10,000,000 × (1 + 0.08)5 × (1 − 0.20).

FV = $11,754,624.61.

看了讲义,也还有疑问。

疑问: 这里我存100m进去,如果income tax rate是20%,取出来直接变80m了,这不合理吧。不是应该是只扣增值部分吗? 这样的话,不就没人会想着去存钱到TDA了么,毕竟你存进去,赚了20%,再扣20%变成120-24=96,还亏了,白干。 是我理解哪里有问题

1 个答案

王暄_品职助教 · 2023年01月30日

TDA账户的定义就是: 取出多少,针对多少钱收withdrawal tax