Question

Stephanie has a homeowners insurance policy for her $355,000 home with an annual premium of $0.42 per $100 of value and a deductible of $500. Under this policy, in the event of a major mishap, Stephanie would have a total annual out-of-pocket expense of [($355,000/100) x $0.42] + $500 = $1,991

Stephanie would like to lower her premium by increasing her deductible. If Stephanie wants to increase her deductible to $1000, what annual premium would result in an annual out-of-pocket expense that is about the same as her current plan?
a. $0.16 per $100 of value
b. $0.28 per $100 of value
c. $0.35 per $100 of value
d. $0.46 per $100 of value\

Answer 1

b.

$0.28 per $100 of value

Explanation:

Answer 2

$0.28 per 100 of value (B)

Explanation:

Stephanie has a homeowner insurance policy of $355,000

Annual premium = $0.42 per 100

There is a deductible of $500

Stephanie has an annual out of pocket expense of

[($355,000/100) x $0.42] + $500 = $1,991

From the question, Stephanie now wants a new deductible amount of 1000.

Let X be the new annual premium

[(355,000X) / 100] + 1000 = 1991

3550X + 1000 = 1991

3550X = 1991 -1000

3550X = 991

X = 991/3550

X = 0.2791

X = 0.28 ( approximately)

The new annual premium is $0.28 per 100 of value