A life insurance company sells with-profit whole life policies, with the sum assured payable immediately on...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A life insurance company sells with-profit whole life policies, with the sum assured payable immediately on the death of the life assured and with premiums payable annually in advance ceasing with the policyholder's death or on reaching age 65 if earlier. The company markets two versions of this policy, one with simple reversionary bonuses and the other with compound reversionary bonuses. In both cases the bonuses are added at the end of the policy year. The company prices the products using the following basis: AM92 Select 4% per annum Mortality Interest Expenses Bonuses (1) initial renewal claim simple compound £250 2% of second and subsequent premiums £150 at termination of contract 6% of basic sum assured per annum 4% of accumulated sum assured and bonuses per annum Write down an expression for the gross future loss at the point of sale for each of these policies, assuming they are sold to a life aged x exact (x < 65) at outset. Write the expression in terms of functions of the random variables T, and K. which represent the exact future lifetime and the curtate future lifetime of (x). respectively. [5] (ii) Calculate the gross premium required for each of the two policies for a sum assured of £200,000 and a life aged 40 exact at outset, using the equivalence principle. [8] (iii) After 10 years, bonuses totalling £90,000 have been declared for the compound reversionary bonus contract. Calculate the net premium reserve for that policy at that time, using AM92 ultimate mortality and interest of 4% per annum. [4] [Total 17] A life insurance company sells with-profit whole life policies, with the sum assured payable immediately on the death of the life assured and with premiums payable annually in advance ceasing with the policyholder's death or on reaching age 65 if earlier. The company markets two versions of this policy, one with simple reversionary bonuses and the other with compound reversionary bonuses. In both cases the bonuses are added at the end of the policy year. The company prices the products using the following basis: AM92 Select 4% per annum Mortality Interest Expenses Bonuses (1) initial renewal claim simple compound £250 2% of second and subsequent premiums £150 at termination of contract 6% of basic sum assured per annum 4% of accumulated sum assured and bonuses per annum Write down an expression for the gross future loss at the point of sale for each of these policies, assuming they are sold to a life aged x exact (x < 65) at outset. Write the expression in terms of functions of the random variables T, and K. which represent the exact future lifetime and the curtate future lifetime of (x). respectively. [5] (ii) Calculate the gross premium required for each of the two policies for a sum assured of £200,000 and a life aged 40 exact at outset, using the equivalence principle. [8] (iii) After 10 years, bonuses totalling £90,000 have been declared for the compound reversionary bonus contract. Calculate the net premium reserve for that policy at that time, using AM92 ultimate mortality and interest of 4% per annum. [4] [Total 17]
Expert Answer:
Answer rating: 100% (QA)
i For the simple reversionary bonus policy Gross future ... View the full answer
Related Book For
Posted Date:
Students also viewed these accounting questions
-
A life insurance company sells term insurance polices. These policies pay $ 100,000 if the policyholder dies before age 70, but pay nothing if a person is still alive at age 70. If a person buys a...
-
This problem combines equilibrium analysis with some of the things you learned in the chapter on intertemporal choice. It concerns the economics of saving and the life cycle on an imaginary planet...
-
Let V = (a) Suppose a vector 1 3 2 = X1 X2 4683 X 3 X4 0 and V3 = D is orthogonal to all three vectors V, V2 and v3. Write down a system of linear equations satisfied by the components x1, x2, x3,...
-
QUESTION 7 We discussed the selection sort sorting algorithm. What is the worst case time complexity of selection sort when sorting a list of n elements? o(lg n) O(n) O(n lg n) O(n) O(log n) O(1)
-
For each of the following changes in operating condition for a dc shunt motor, describe how the armature current and speed will vary: a. Halving the armature terminal voltage while the field fluxes...
-
Why can the thermal efficiency of a heat engine never be \(100 \%\) ?
-
A confidence interval for 1 is to be constructed from a sample of 20 points. How many degrees of freedom are there for the critical value?
-
Financial ratio analysis is conducted by four groups of analysts: managers, equity investors, long-term creditors, and short-term creditors. What is the primary emphasis of each of these groups in...
-
Thornton Corporation sells products for $41 each that have variable costs of $11 per unit. Thornton's annual fixed cost is $705,000. Required Use the per-unit contribution margin approach to...
-
A reliable sales forecast has been obtained indicating that the Special Products Company (see Section 1.2) would be able to sell 30,000 iWatches, which appears to be enough to justify introducing...
-
1. Quartz Instruments had Retained Earnings of $146,000 at December 31, 2015. Net income for 2016 was $91,000, and dividends for 2016 were $31,000. What amount of Retained Earnings should be reported...
-
Discuss the challenges an employer may face in administering the record keeping of Social Insurance Numbers.
-
Sales price per unit $30.00 Fixed Expenses $200,000 Variable Expenses per unit $14.00 Units Sold 20,000 1. 2. Calculate the contribution margin per unit. Calculate the annual break-even point in...
-
Chun, a married taxpayer, has lived apart from her spouse, Juan, for five years and is no longer in contact with him. She has no dependents. What filing status should Chun use, and what is her...
-
The laboratory supervisor of a commercial lab is given the responsibility of purchasing cuvettes for their spectrophotometer. They settle on two suppliers whose cuvette prices are the same. The...
-
Identify and analyze the potential organizational behavior challenges that may arise as a result of the merger between Company A and Company B. Discuss how the differences in their corporate cultures...
-
Expenses (Excluding VAT) Purchase of hardware Purchase of software Purchase of diesel Purchase of Royalty Air ticket to Singapore Expenses (Including VAT) Telephone, rent, office requisites...
-
Why is a help desk and production support critical to system implementations? Discuss its interrelationship with the problem management and reporting system.
-
Explain how to decide when it is appropriate to use the normal approximation to the binomial distribution.
-
Computer chips: A computer chip is a wafer made of silicon that contains complex electronic circuitry made up of microscopic components. The wafers are coated with a very thin coating of silicon...
-
Construct a residual plot to verify that the assumptions of the linear model are now satisfied.
-
Prove: 'Bernoulli's equation is a restrictive form of energy equation'.
-
What are the assumption made for the establishment of Bernoulli's equation?
-
A shell and tube heat exchanger is used to cool lubricating oil by water at the rate of \(120 \mathrm{~kg} / \mathrm{min}\). The oil enters the heat exchanger at \(343 \mathrm{~K}\) and leaves at...
Study smarter with the SolutionInn App