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dedylja [7]
3 years ago
8

Ben has ​$2 comma 000 in his savings account and the bank pays an interest rate of 14 percent a year. The inflation rate is 9 pe

rcent a year. The government taxes the interest that Ben earns on his deposit at 10 percent. Calculate the nominal​ after-tax interest rate and the real​ after-tax interest rate that Ben earns.    ​>>> Answer to 1 decimal place. ​>>> If your answer is​ negative, include a minus sign. If your answer is​ positive, do not include a plus sign. The nominal​ after-tax interest rate is nothing percent a year.
Business
1 answer:
Alinara [238K]3 years ago
5 0

Answer: After Tax Nominal Rate - 12.6%

After Tax Real Rate - 3.6%

Explanation:

<em>Real Rate of return is defined as the nominal interest rate less inflation. </em>

The After Tax Real Rate therefore caters for tax from the Nominal rate and then deducts Inflation.

The formula is,

= Nominal Rate( 1 - tax rate) - Inflation rate

= 14% ( 1 - 10% ) - 9%

= 14 ( 90% ) - 9

= 3.6%

The <em>Nominal Rate is simply the Real Rate plus Inflation</em>. The After tax real rate has already being found so the After Tax Nominal Rate is,

= 3.6 + 9

= 12.6%

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The solution to the given problem is done below.

Explanation:

(a)            Depreciation

            for Financial              Depreciation for Temporary

Year         Reporting Purposes           Tax Purposes            Difference

2017           $160,000                          $264,000          (104,000)

2018           $160,000                          $360,000          (200,000)

2019           $160,000                           $120,000            40,000

2020           $160,000                           $56,000            104,000

2021                  $160,000                                      0                        $160,000

                         $800,000                            $800,000                   0

(b)                        2018       2019          2020         2021           Total  

Future taxable

amounts:

Depreciation     $(200,000)      $40,000      104,000    $160,000    $104,000

Deferred tax liability: $104,000 × 40% = $41,600 at the end of 2017.

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