Pregunta
Lisa bought a home with an adjustable-rate mortgage. The margin on the loan is
and the rate cap is
over the life of the loan. If the current index
rate is
, what is the calculated interest rate of the ARM?
Select one:
a.
b.
c.
rate is
Select one:
a.
b.
c.
Ask by Franklin Best. in the United States
Mar 21,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The calculated interest rate of the ARM is
.
Solución
-
The general formula for an adjustable-rate mortgage (ARM) is:
-
Given:
-
Substitute the given values into the formula:
-
The rate cap of
over the life of the loan means the interest rate cannot exceed the initial rate by more than . However, in this case, the addition of the margin and the current index rate results in , which is within the allowed limit under normal circumstances, hence no further adjustment is needed. -
Therefore, the calculated interest rate of the ARM is:
The correct answer is b.
.
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Beyond the Answer
To calculate the interest rate of an adjustable-rate mortgage (ARM), you add the margin to the current index rate. Here, the current index rate is
and the margin is
.
So,
. However, there’s a rate cap of
over the life of the loan. Since
exceeds the cap when you consider the same index rate from the previous adjustment periods, it doesn’t affect our calculation.
Therefore, the correct answer is:
b. .
b.

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