life insurance and annuities chapter 12. two kinds of protection mortality longevity (life...
TRANSCRIPT
Life insurance and annuities
Chapter 12
Two kinds of protection
• Mortality
• Longevity (life annuities)
• Combination
Simplest life policy
• For one period
• Premium = PV of expected claim + expenses
• Premiums increase with age– mortality– adverse selection
Level premium concept
• Two periods
• Probabilities 0.01 and 0.02
• Ignore expenses
• Expected claims = 10,000 and 20,000
• Interest rate = 10%
• Premiums = 9090.91 and 18181.82
Level premium concept
• Premium 1 $13,397.13• First year mortality charge $9,047.41• Balance invested $4,349.72• Amount at the end of year 1 $4,784.69• Premium 2 $13,397.13• Second year mortality charge $18,181.82• Amount at risk at the end of year 1 $995,215.31• Premium for this amount $9,047.41
Term Policies
• 1 year, 5 year, 10 year . . .
• Renewable term
• Convertible term
Cash value policies
• Cash value and reserve
• Types of policies– Single premium whole life– Straight whole life– Limited pay whole life– Endowment– Universal– Variable
Participating policies
• Policy holders’ dividends
• Dividends as policy refunds
Classification
• Ordinary life
• Group life
• Credit life
• Industrial life
Annuities
• Pure life annuities
• Fixed and variable annuities– Self directed annuities– Equity indexed annuities
Taxation
• Life insurance is a tax favored instrument– Death benefits not taxable– Investment income not taxable unless with
drawn
• Return of capital not taxed