Assignment 3 Bus 410 Q10,12

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Assignment #3 Chpt 6, Q10, Q12 10. a) n = 15 pmt = $20,000 fv = 0 i = 6% Pv = ? Answer: PV = - 194,244.9798 The insurance company should ask this person to pay $194,245 for the annuity. b) n = 20 pv = ? Answer: PV = -229,398.4244 The insurance company should ask this person to pay $229,398.42 for the annuity. c) BEG n = 15 pmt = $20,000 fv = 0 i = 6% Pv = ? Answer: PV = -205,899.6785 The insurance company should ask this person to pay $205,899.68 for the annuity. BEG n = 20 Pv = ? Answer: PV = -243,162.3298 The insurance company should ask this person to pay $243,162.33 for the annuity. 12. How do Life Insurance companies make a profit? These companies make a profit mostly from their underwriting activities. When insurance companies collect premiums from policy holders they use these funds for three things: Firstly, these funds are used to pay claims. The loss ratio (or claims ratio) should always be less than 100 in order for an insurance company to make a profit; this means that premiums earned are sufficient to cover losses incurred on a particular line. The second way that these funds are used is to pay expenses incurred in the selling and providing of insurance protection. Some examples would be loss adjustment expenses, commissions, and other expenses. The underwriting gain or loss can be calculated by subtracting claims and expenses incurred from net premiums written. The combined ratio is a common measure of the overall underwriting profitability. It is equal to the loss ratio plus the ratios of loss adjustment expenses to premiums earned and other commission and other acquisition costs to premiums written as a proportion of premiums earned. If the combined ratio is less than 100, premiums alone are enough to cover both losses and expenses related to the line thus making it a profitable line. Lastly, insurance companies use these

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