Final answer:
To determine how much life insurance Marty should purchase, we need to calculate their annual expenses, college savings, schooling costs, and mortgage balance. Adding up these amounts gives us a total of $390,000.
Step-by-step explanation:
To determine how much life insurance Marty should purchase, we need to consider several factors. First, we need to calculate their annual expenses. Currently, their expenses are $30,000, and Marty covers 75% of the expenses, so Marty's portion is $30,000 * 0.75 = $22,500 per year. Mary's portion is $30,000 * 0.25 = $7,500 per year. They want to maintain their current standard of living for at least the next eight years, so we multiply their annual expenses by 8 to get the total amount needed: $22,500 * 8 = $180,000 for Marty, and $7,500 * 8 = $60,000 for Mary.
In addition to covering their annual expenses, they want to save $25,000 for each of their three children's college education. That's a total of $25,000 * 3 = $75,000. They also need to cover Mary's part-time schooling costs of $20,000.
Finally, they have a mortgage balance of $55,000 that needs to be paid off if Marty were to die.
Now, let's calculate the total amount of life insurance Marty should purchase:
- Total annual expenses for Marty: $180,000
- Total annual expenses for Mary: $60,000
- Total college savings: $75,000
- Total schooling costs for Mary: $20,000
- Total mortgage balance: $55,000
Add up these amounts to get the total life insurance needed: $180,000 + $60,000 + $75,000 + $20,000 + $55,000 = $390,000.
Therefore, Marty should purchase $390,000 of life insurance.