Question

Suppose you bought a bond from Apple Inc. for $100 in 2009, in 2019 you sold...

Suppose you bought a bond from Apple Inc. for $100 in 2009, in 2019 you sold it at $400. 100%
inflation and your capital gain is taxed at a rate of 40%.
1). What is the pre-tax return?
2). What is the after tax rate?

the answer is 1). 100% and 2). 40%
could someone tell me how to get to these two answers?
thank you
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Answer #1

A bond from Apple Inc. for $100 in 2009, in 2019 sold at $400. If there is 100% inflation :

1) The pre-tax return :

In 2009, bond from Apple Inc. = $100

In 2019, Apple Inc. bond sold at = $400

The difference is ( $400 - $100 ) $300, which is the pre- tax return without inflation .

100% Inflation

To buy the same commodity, a person has to pay double price of that commodity. That is , cost of a bond from Apple Inc. increases from $100 to $200.

Therefore, bond from Apple Inc. would be :

Finally, $100 / 100% is the pre-tax return.

2) The after tax rate :

Therefore, 40%  is the after tax rate.

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