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You put money into an account that earns an 8 percent nominal interest rate. The inflation rate is 5 percent, and your marginal tax rate is 10 percent. What is your after-tax real rate of interest?

A. 11.7 percent
B. 2.2 percent
C. 2.7 percent
D. 7.7 percent

Respuesta :

Answer:

After tax real rate will be 2.2 %

So option (b) will be correct answer

Explanation:

We have given nominal interest rate = 8 %

Inflation rate = 5 %

And marginal tax = 10 %

We have to find the after tax real rate interest

After tax real rate of interest is given by

After tax real rate = nominal interest rate ( 1 - tax rate ) - inflation rate

= 8 ( 1 - 0.1 ) - 5 = 8×0.9 -5 = 7.2 - 5 = 2.2 %

So option (b) will be correct answer

If a person puts money into an account that earns an 8 % nominal interest rate, then the after-tax real rate of interest would be 2.2 %.

So option (b) will be the correct answer.

What is interest?

Interest is defined as the expense from a receiver to an investor or depositor of an amount exceeding a refund of the principal sum at a particular rate.

It is the payment of money that is paid by the receiver for the use of money.

Computation of  after-tax real rate of interest:

According to the given information,

Nominal Interest Rate = 8 %

Inflation Rate = 5 %

Marginal Tax = 10 %

Now, We have to discover the after-tax real rate of interest:

[tex]\text{After Tax Real Rate of Interest}=\text{Nominal Interest Rate} \times ( 1 - \text{Tax Rate ) }- \text{Inflation Rate}\\\\\text{After Tax Real Rate of Interest}= 8\% ( 1 - 10\% ) - 5\%\\\\\text{After Tax Real Rate of Interest} = 8\% \times 0.9 -5\%\\\\\text{After Tax Real Rate of Interest}=7.2\% - 5\%\\\\\text{After Tax Real Rate of Interest}= 2.2 \%[/tex]

Therefore, the correct option is B.

Learn more about the interest, refer to:

https://brainly.com/question/4605117