Your father, at the age of 40, purchased a Whole Life insurance policy with a face value of \[tex]$110,000. The permanent insurance amount for a Whole Life insurance policy for a healthy 40-year-old male is \$[/tex]27.17. Your father decided to terminate the policy at the age of 47. Determine the annual premium and use the table below to determine the value of the Extended Term Insurance policy.

\begin{tabular}{|c|c|c|c|c|}
\hline
\multirow{3}{*}{\begin{tabular}{c}
End \\
of \\
Year
\end{tabular}} & \multicolumn{4}{|c|}{Whole Life Options} \\
\cline{2-5}
& Option 1 & Option 2 & \multicolumn{2}{|c|}{Option 3} \\
\cline{2-5}
& Cash Value & \begin{tabular}{c}
Reduced \\
Paid-Up \\
Insurance
\end{tabular} & \multicolumn{2}{|c|}{\begin{tabular}{c}
Extended \\
Term
\end{tabular}} \\
\cline{3-5}
& Years & Days \\
\hline
3 & \[tex]$7 & \$[/tex]18 & 1 & 180 \\
\hline
5 & \[tex]$21 & \$[/tex]50 & 6 & 15 \\
\hline
7 & \[tex]$45 & \$[/tex]96 & 10 & 40 \\
\hline
10 & \[tex]$65 & \$[/tex]150 & 15 & 200 \\
\hline
\end{tabular}

a. Annual Premium: \[tex]$2,988.70; 10 years
b. Annual Premium: \$[/tex]3,215.33; 6 years



Answer :

To solve the problem step-by-step, let’s go through the necessary calculations and refer to the data given.

### Step-by-Step Solution

1. Determine Entry and Termination Age:
- Entry age when the policy was purchased: 40 years
- Termination age when the policy was ended: 47 years

2. Calculate the Number of Years the Policy was Held:
[tex]\[ \text{Years Held} = \text{Termination Age} - \text{Entry Age} = 47 - 40 = 7 \text{ years} \][/tex]

3. Annual Premium:
- The annual premium given is \[tex]$3,215.33 per year. 4. Calculate the Total Premium Paid: The total premium paid over the period the policy was held can be found by multiplying the annual premium by the number of years the policy was held. \[ \text{Total Premium Paid} = \text{Annual Premium} \times \text{Years Held} \] \[ \text{Total Premium Paid} = 3,215.33 \times 7 = 22,507.31 \] 5. Determine the Extended Term Insurance Value from the Table: From the table, we look up the values for 7 years under the "Extended Term" column: - Years: 10 - Days: 40 ### Summary of Results Based on the calculations: - Total Premium Paid: \$[/tex]22,507.31
- Extended Term Insurance Value: 10 years and 40 days

Therefore, when applying these calculations to the actual question scenario:
- The total amount your father paid as premium over the 7 years is \$22,507.31.
- After 7 years, the extended term insurance policy value indicates 10 years and 40 days of coverage.