Login
Premium
Home Question Bank Economics
Question
upstudy study bank question image url

Suppose a life insurance company sells a -year term life insurance policy to a 20 -year-old female for . According to the National Vital Report, 58 (21).
the probability that the female survives the year is 0.999544 . Compute and interpret the expected value of this policy to the insurance company.
The expected value is .

Ask by Pearson Tucker. in the United States
Dec 20,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

The expected value of the policy is $112.48.

Solution

To compute the expected value of the life insurance policy to the insurance company, we’ll consider the two possible outcomes:
  1. Policyholder Survives the Year:
    • Probability:
    • Outcome: The insurance company keeps the premium of $190.
    • Net Profit: $190
  2. Policyholder Passes Away within the Year:
    • Probability:
    • Outcome: The insurance company pays out $170,000 but has already collected $190.
    • Net Loss:
Now, calculate the expected value (E) by considering both scenarios:
Interpretation:
The expected value of the policy to the insurance company is $112.48. This means that, on average, the insurance company expects to earn $112.48 from selling this policy to a 20-year-old female.
Answer:
The expected value is $112.48.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Beyond the Answer

To calculate the expected value for the insurance company, we need to consider the two scenarios: the female survives the year and the female does not survive the year.
  1. If she survives, the insurance company wins the premium: .
  2. If she does not survive, the insurance company loses the policy amount minus the premium: .
Now we use the probabilities for these scenarios:
  • Probability of survival = 0.999544
  • Probability of not surviving = 1 - 0.999544 = 0.000456
The expected value (EV) is calculated as follows:
So, the expected value of this policy to the insurance company is approximately . This means that on average, the insurance company can expect to make about $112.21 per year from this policy after accounting for the risks involved. It’s a nice way to think about risk management in the insurance world!
And who doesn’t love a little math with a dash of life insurance fun?

Related Questions

/ Chapter 5 - Elasticity / 5.1: Calculating Demand and Supply Elasticity 5.1: Calculating Demand and Supply Elasticity ion 3 mplete d out of 9 ion Price: $4.0 Short-Term Demand Price $6.28.8 million units Answer: ◻ Check
Economics Canada Mar 31, 2025
\begin{tabular}{l|l}\multicolumn{1}{l}{ A variable that can't be accounted for is } & The author backs up the statement that the economy \\ can be unpredictable by pointing out that \\ a natural disaster such as a hurricane. As the & result of a hurricane, demand is guaranteed \\ to increase in a way that could not have been & (A) banking panics occur when confidence in the financial \\ system is strong. \\ predicted because the flow of goods into & (B) natural disasters can affect the demand for goods and \\ disrupt production. \\ impacted areas is blocked. If crops or power \\ facilities like oil refineries are damaged, then & C. customers are more willing to buy something when \\ interest rates are low. \\ demand is also affected. & (D) inflation occurs when prices for goods and services \\ decrease too quickly. \end{tabular}
Economics United States Mar 31, 2025
Prepaid expenses at the beginning of the year relates to security fees that was paid in the previous financial year. As per the contract with ADL, security fees are payable half yearly in advance on 1 July and 1 January respectively. The security fee contract also makes provision for an annual increase on 1 July of 15% of the monthly premium.
Economics South Africa Mar 31, 2025
40-year-old man in the U.S. has a 0.243% risk of dying during the next year. An insurance company charges $260 per ear for a life-insurance policy that pays a $100,000 death benefit. What is the expected value for the person buying the nsurance? Round your answer to the nearest dollar. Expected Value: $−37.00 for the year
Economics United States Mar 31, 2025
why is it helpful to a Roth Ira? is money saved in the bank Is a retirement plan, where money grows, and that is tax free by the age of 59.5
Economics United States Mar 31, 2025

Latest Economics Questions

/ Chapter 5 - Elasticity / 5.1: Calculating Demand and Supply Elasticity 5.1: Calculating Demand and Supply Elasticity ion 3 mplete d out of 9 ion Price: $4.0 Short-Term Demand Price $6.28.8 million units Answer: ◻ Check
Economics Canada Mar 31, 2025
why is it helpful to a Roth Ira? is money saved in the bank Is a retirement plan, where money grows, and that is tax free by the age of 59.5
Economics United States Mar 31, 2025
\begin{tabular}{l|l}\multicolumn{1}{l}{ A variable that can't be accounted for is } & The author backs up the statement that the economy \\ can be unpredictable by pointing out that \\ a natural disaster such as a hurricane. As the & result of a hurricane, demand is guaranteed \\ to increase in a way that could not have been & (A) banking panics occur when confidence in the financial \\ system is strong. \\ predicted because the flow of goods into & (B) natural disasters can affect the demand for goods and \\ disrupt production. \\ impacted areas is blocked. If crops or power \\ facilities like oil refineries are damaged, then & C. customers are more willing to buy something when \\ interest rates are low. \\ demand is also affected. & (D) inflation occurs when prices for goods and services \\ decrease too quickly. \end{tabular}
Economics United States Mar 31, 2025
In the past, the United States exported more goods and services than it imported. However, since 1975 it has bought more goods from other nations than it has sold and thus has a trade deficit. Over the past few years, the United States ran its highest trade deficits with China. Still the United States remains one of the world's largest exporting nations even though the U.S. exports a much lower percentage of its products than other countries, such as China, Japan and Germany. Improving that percentage by expanding exports is a goal the U.S. hopes to achieve by 2015 . Source: William Nickels, et al. Understanding Business, 10e. (i) Instructions Goods exported from the U.S. used to be more numerous than those imported into this country. But starting in 1975, the U.S. has had a trade deficit, especially with China in recent years. However, even though the U.S. exports a relatively low percentage of its goods, it is still among the most prolific exporters in the world, and the quality of its exports is unsurpassed. By 2015, the U.S. would like to export a larger percentage of its goods in order to become an even more influential world superpower (Nickels et al., 2014).
Economics United States Mar 31, 2025
Prepaid expenses at the beginning of the year relates to security fees that was paid in the previous financial year. As per the contract with ADL, security fees are payable half yearly in advance on 1 July and 1 January respectively. The security fee contract also makes provision for an annual increase on 1 July of 15% of the monthly premium.
Economics South Africa Mar 31, 2025
Prev Next
Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy
Pop-up title
Lorem ipsum dolor sit amet, te everti debitis assentior nam, ne illum utroque principes sed. Ridens phaedrum an vix, qui in dolore appareat.