To determine the annual premium for a 28-year-old healthy female seeking a 20-Year Endowment insurance policy with a face value of \[tex]$91,500, we proceed as follows:
1. Identify the premium rate from the table:
- For a 28-year-old healthy female, the premium rate for a 20-Year Endowment policy is \$[/tex]36.44 per \[tex]$1000 of face value.
2. Calculate the premium rate as a fraction of the face value:
- The premium rate is \$[/tex]36.44 per \[tex]$1000, which translates to 0.03644 (as a decimal).
3. Calculate the annual premium using the given face value:
- The face value of the policy is \$[/tex]91,500.
- To find the annual premium, multiply the face value by the premium rate per unit:
[tex]\[
\text{Annual Premium} = 91,500 \times 0.03644
\][/tex]
4. Perform the multiplication:
- Multiplying 91,500 by 0.03644:
[tex]\[
91,500 \times 0.03644 = 3,334.26
\][/tex]
5. Round the result to the nearest cent if necessary:
- The result is already in cent form: \[tex]$3,334.26.
6. Compare the calculated annual premium to the given options:
- a. \$[/tex]3,334.26
- b. \[tex]$3,290.34
- c. \$[/tex]3,229.95
- d. \[tex]$3,190.61
The calculated annual premium (\$[/tex]3,334.26) exactly matches option a.
Therefore, the best answer is option a: [tex]$\$[/tex]3,334.26$.
