The Mathematics of Money

(Darren Dugan) #1

560 Chapter 13 Insurance and Risk Management



  1. Suppose that the monthly mortality charge is $0.095 per thousand and that the death benefi t is $115,000. The interest
    rate is 5% compounded monthly. Complete the missing values labeled with letters in the table below:


Month Premium (Less Load) Mortality Charge Fees Interest End Balance

April $8,933.28
May $0.00 (a) $2.50 (b) (c)


  1. Suppose that the monthly mortality charge is $0.1825 per thousand and the death benefi t is $200,000. The interest
    rate is 5.36% compounded monthly. Complete the missing values in the table below:


Month Premium (Less Load) Mortality Charge Fees Interest End Balance

September $7,205.65
October $0.00 (a) $2.50 (b) (c)


  1. The surrender charges for a universal life policy are $4,000 in the fi rst year, declining by $250 per year until they reach
    zero. The policy has an account value of $3,750.43 at the end of year 3. What are the surrender charges at that time?
    How much would you receive if you surrendered the policy at that time?

  2. The surrender charges for a universal life policy were $4,800 in the fi rst year, declining by $400 per year until they reach
    zero. At the end of year 7 the policy had an account value of $4,141.55 and it was surrendered. How much did the
    policyholder receive?


D. Grab Bag



  1. Which type of life insurance (term, whole life, or universal life) would you be most likely to choose if you are looking to
    get the highest possible death benefi t at the lowest possible cost right now?

  2. Which type of life insurance (term, whole life, or universal life) would you be most likely to choose if you plan to keep
    the policy for a long time, but want to be able to vary your premium payments, paying more when you have extra cash
    and less when you don’t?


E. Additional Exercise



  1. Suppose I have a $100,000 death benefi t universal life policy. The interest rate is 6% compounded monthly, and there
    is a $2.50 monthly policy fee. I made no premium payments either this month or last. At the end of last month my
    account value was $4,503.29. At the end of this month my account value is $4,511.38. What is the monthly mortality
    cost per thousand?

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