Your aunt has promised to give you $5,000 when you graduate from college. You expect to graduate three years from now. If you speed up your plans to enable you to graduate two years from now, the present value of the promised gift will: Multiple Choice be less than $5,000. remain constant. decrease. Incorrect equal $5,000. increase

Respuesta :

Answer:

The present value of the promised gift will:

be less than $5,000.

Explanation:

The present value of $5,000 to be received in three years' time from today is less than $5,000 received.  This is explained by the time value of money concept.  If the $5,000 gift is discounted to today's value, using a discount factor of 0.751 (10% in three years' time), it would be $3,755 ($5,000 * 0.751).  This means that $5,000 received in year 3 is less than $5,000 received today.

The present value of the promised gift will be less than $5,000 If a person speeds up his/her plans to enable to graduate two years from now, by applying the concept of the time value of money.

What is the time value of money?

The time value of money is a fundamental concept of finance. This concept maintains that money or cash in the present is worth more than the identical sum of money to be accepted in the future.

In the above case, The present value of $5,000 to be received in the period of three years from today would be less than $5,000 received.

In the above case, the concept of the time value of money is applied. It means that if the $5,000 gift is discounted to today's value, using a discount factor of 0.751 (10% in three years' time), it would be:

[tex]=\$5,000 \times 0.751\\= \$3,755[/tex]

This means that $5,000 received in year 3 is less than $5,000 received today.

Therefore, option A is correct.

To learn more about the time value, refer to:

https://brainly.com/question/95926