Calculate the life insurance gross premium for an insurance company, XYZ Life, under the following assumptions. Please round your answer to the nearest dollar. 1-year term insurance for a 35-year-old female • The death benefit is $10,00O • The probability of death within one year given a female is 35 years old (q30) is 0.015 • The interest rate is 1.5% • All deaths occur uniformly, hence for simplicity, price the product assuming all deaths happen at the middle of the year XYZ Life is looking for a 25% loading based on the pure premium (i.e. PV of expected loss) (Hint: When loading Ap, expressed as a percentage, is based on pure premium, Gross premium = Pure premium x [1 + Ap]) %3D Choose the correct answer from below. $166 $171 $149 $155 $186

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Calculate the life insurance gross premium for an insurance
company, XYZ Life, under the following assumptions. Please round
your answer to the nearest dollar.
1-year term insurance for a 35-year-old female
• The death benefit is $10,00O
• The probability of death within one year given a female is 35
years old (q30) is 0.015
The interest rate is 1.5%
• All deaths occur uniformly, hence for simplicity, price the
product assuming all deaths happen at the middle of the year
• XYZ Life is looking for a 25% loading based on the pure
premium (i.e. PV of expected loss)
(Hint: When loading Ap, expressed as a percentage, is based on
pure premium, Gross premium = Pure premium × [1 + Ap])
Choose the correct answer from below.
$166
$171
$149
$155
O $186
Transcribed Image Text:Calculate the life insurance gross premium for an insurance company, XYZ Life, under the following assumptions. Please round your answer to the nearest dollar. 1-year term insurance for a 35-year-old female • The death benefit is $10,00O • The probability of death within one year given a female is 35 years old (q30) is 0.015 The interest rate is 1.5% • All deaths occur uniformly, hence for simplicity, price the product assuming all deaths happen at the middle of the year • XYZ Life is looking for a 25% loading based on the pure premium (i.e. PV of expected loss) (Hint: When loading Ap, expressed as a percentage, is based on pure premium, Gross premium = Pure premium × [1 + Ap]) Choose the correct answer from below. $166 $171 $149 $155 O $186
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