5.09 Quiz: Insurance 2

Nikos, a 39-year-old male, bought a \[tex]$300,000, 20-year life insurance policy.

What is the total amount he will pay for 20 years of coverage?

ABC Term Life Insurance Company
\begin{tabular}{|c|c|c|c|}
\hline \multicolumn{2}{|c|}{ Age at issue } & \multicolumn{2}{|c|}{\begin{tabular}{c}
Annual premium \\
per \$[/tex]1000 \\
Male/Female coverage
\end{tabular}} \\
\hline Male & Female & 10-year & 20-year \\
\hline [tex]$20-24$[/tex] & [tex]$23-27$[/tex] & \[tex]$2.50 & \$[/tex]3.80 \\
[tex]$25-29$[/tex] & [tex]$28-32$[/tex] & \[tex]$3.25 & \$[/tex]5.84 \\
[tex]$30-34$[/tex] & [tex]$33-37$[/tex] & \[tex]$3.82 & \$[/tex]7.93 \\
[tex]$35-39$[/tex] & [tex]$38-42$[/tex] & \[tex]$4.55 & \$[/tex]10.33 \\
[tex]$40-44$[/tex] & [tex]$43-47$[/tex] & \[tex]$5.78 & \$[/tex]13.68 \\
[tex]$45-49$[/tex] & [tex]$48-52$[/tex] & \[tex]$7.53 & \$[/tex]17.56 \\
\hline
\end{tabular}

What is the total amount Nikos will pay over the 20 years?



Answer :

To determine the total amount Nikos will pay for his 20-year life insurance policy, we need to consider the information given:
- Coverage amount: \[tex]$300,000. - Nikos's age: 39. - Annual premium per \$[/tex]1,000 of coverage for a 20-year term for a male aged 35-39: \[tex]$10.33. We will follow these steps: 1. Calculate the annual premium. 2. Calculate the total premium over the 20-year term. ### Step 1: Calculate the Annual Premium We know the annual premium rate per \$[/tex]1,000 of coverage for Nikos is \[tex]$10.33. Therefore, we must first determine how many units of \$[/tex]1,000 are in \[tex]$300,000: \[ \text{Number of \$[/tex]1,000 units} = \frac{\[tex]$300,000}{\$[/tex]1,000} = 300
\]

Next, we multiply the number of units by the annual premium per \[tex]$1,000: \[ \text{Annual premium} = 300 \times \$[/tex]10.33 = \[tex]$3,099.00 \] ### Step 2: Calculate the Total Premium Over 20 Years To find the total amount paid over the 20-year term, we simply multiply the annual premium by the number of years in the term: \[ \text{Total premium} = \$[/tex]3,099.00 \times 20 = \[tex]$61,980.00 \] ### Final Answer Nikos will pay a total amount of \$[/tex]61,980.00 for 20 years of coverage.

This thorough process ensures that we account for all necessary details to determine the total cost of the life insurance policy accurately.