Last year you bought a house for $200,000, and you sell the house this year for $230,000. Unfortunately, the government makes you pay taxes on your capital gains. Assume that the capital gains tax rate is 20%. Over the year, the CPI increased from 110 to 115.5. Your after-tax real return is

Respuesta :

Your after-tax real return will be "7 %".

After Tax-rate real return:

Given values are:

House's cost price = $200,000

House's selling price = $230,000

Tax on capital gain = 20%

then,

Profit on selling house will be:

= [tex]230000-200000[/tex]

= [tex]30000[/tex]

Now,

The tax would be:

= [tex]30000\times 20 \ percentage[/tex]

= [tex]6000[/tex]

Real profit:

= [tex]30000-6000[/tex]

= [tex]24000[/tex]

On house, the nominal rate of return will be:

= [tex][\frac{224000-200000}{200000} ]\times 100[/tex]

= [tex]12[/tex] %

Now, The inflation be:

= [tex][\frac{115.5-110}{110} ]\times 100[/tex]

= [tex]5[/tex] %

hence,

The after-tax rate of return be:

= Nominal rate of return - Inflation rate

By substituting the values, we get

= [tex]12-5[/tex]

= [tex]7[/tex] %

Thus the above answer is right.

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