Final answer:
Paul will require a life insurance coverage of $200,000 to ensure that Sue could maintain half of their combined income after his death, using a 5% rate of return and the capital retention method.
Step-by-step explanation:
To calculate how much life insurance coverage Paul requires, we will use the capital retention method and have Sue maintain half of their combined income using a 5% rate of return. Paul and Sue's combined income is $180,000 per year ($100,000 from Paul and $80,000 from Sue), and Sue wants to have half of this, which is $90,000. Since Sue will continue to earn $80,000, she will need an additional $10,000 from the insurance proceeds.
To provide an annual income of $10,000 at a 5% return rate, the calculation would be $10,000 / 0.05 = $200,000. This means that Paul will need a $200,000 policy to ensure that Sue has half of their combined income maintained after his death.