Use the table to answer the question. The sample life insurance premium table illustrates the monthly premium for every $25,000 of coverage. Age Nonsmoker Male Nonsmoker Female Smoker Male Smoker Female Under 24 $3.00 $2.50 $4.50 $4.00 24 to 30 $4.00 $3.50 $6.15 $5.25 31 to 40 $5.50 $4.40 $9.00 $6.50 41 to 50 $7.50 $6.75 $13.00 $12.00 Max is 33 and smokes. How much would he save next year on a $75,000 policy if he quit smoking compared to if he continued smoking? Show your work or explain how you got your answer.

1 answer

To determine how much Max would save next year on a $75,000 life insurance policy if he quit smoking compared to if he continued smoking, we will first need to calculate the monthly premiums for both scenarios (smoker and non-smoker) based on the table provided.

1. Calculate the monthly premium as a smoker:

Max is 33 years old and smokes. According to the table:

  • Smoker Male (age 31 to 40): $9.00 per $25,000 of coverage.

For a $75,000 policy, we need to see how many $25,000 segments are in $75,000:

  • $75,000 / $25,000 = 3 segments.

Now, multiply the premium for smokers by the number of segments:

  • Monthly Premium as a Smoker: \[ 3 \times 9.00 = 27.00 \text{ (monthly)} \]

2. Calculate the monthly premium as a non-smoker:

Now, let's calculate the monthly premium if Max quits smoking.

  • Nonsmoker Male (age 31 to 40): $5.50 per $25,000 of coverage.

Using the same logic as above:

  • Monthly Premium as a Nonsmoker: \[ 3 \times 5.50 = 16.50 \text{ (monthly)} \]

3. Calculate the yearly premiums for both scenarios:

To find out the total premiums for the year:

  • Yearly Premium as a Smoker: \[ 27.00 \times 12 = 324.00 \]
  • Yearly Premium as a Nonsmoker: \[ 16.50 \times 12 = 198.00 \]

4. Calculate the savings if Max quits smoking:

To find out how much Max would save if he quit smoking compared to continuing to smoke:

  • Savings: \[ 324.00 - 198.00 = 126.00 \]

Conclusion:

If Max quits smoking, he would save $126.00 next year on a $75,000 life insurance policy.