Pregunta
ssignment
(Related to Checkpoint 5.4 ) (Comparing present and future values) You are offered
today or
in 14 years. Assuming that you can earn 15 percent on your money, which should
you choose?
If you are offered
in 14 years and you can earn 15 percent on your money, what is the present value of
?
of 20 points
(Round to the nearest cent.)
(Related to Checkpoint 5.4 ) (Comparing present and future values) You are offered
you choose?
If you are offered
Ask by Vargas Johnson. in the United States
Jan 01,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The present value of $360,000 in 14 years at a 15% interest rate is $50,869.00.
Solución
To determine whether you should take $100,000 today or $360,000 in 14 years with an annual interest rate of 15%, we’ll calculate the present value (PV) of $360,000 received in the future. This will allow you to compare both options on an equal footing.
Present Value Calculation
The formula for present value is:
Where:
-
(Future Value) -
(Annual Interest Rate) -
years (Number of Periods)
Plugging in the values:
First, calculate
:
Now, compute the present value:
Comparison of Options
- Option 1: Receive $100,000 today.
- Option 2: Receive $360,000 in 14 years, which is equivalent to approximately $50,869 today.
Since $100,000 (Option 1) is greater than $50,869 (Option 2), it is financially advantageous to choose the $100,000 today.
Final Answer
The present value of $360,000 in 14 years at a 15% interest rate is $50,869.00.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Extra Insights
To find the present value (PV) of
in 14 years at an interest rate of 15%, you can use the present value formula:
where:
-
= future value ($360,000) -
= interest rate (15% or 0.15) -
= number of years (14)
Now, plugging in the values:
So, the present value of
in 14 years is approximately
.
Now, to determine which option is better, you have
today and a present value of
for the future amount. Since
is greater than
, you should choose
today.

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium