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PolarNik [594]
3 years ago
6

M purchases a $70,000 Life Insurance Policy with premium payments of $550 a year for the first 5 years. At the beginning of the

sixth year, the premium will increase to $800 per year but will remain level thereafter. The face amount will remain at $70,000 throughout the life of the policy. The type of policy that M has purchased is?
Business
1 answer:
MaRussiya [10]3 years ago
8 0
<span>This is a modified premium life insurance policy. In this case, the premium (the price paid for the insurance during each time period) is fixed for a specific frame (at rates that are usually lower than average), but then (usually) increases after a certain number of months or years to a rate greater than the average.</span>
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<span>25 years: No Payment, but total is 250000
6 months earlier. Payment of "P". It's value 1/2 year later is P(1+0.03)
6 months earlier. Payment of "P". It's value 1 year later is P(1+0.03)^2
6 months earlier. Payment of "P". It's value 1½ years later is P(1+0.03)^3
6 months earlier. Payment of "P". It's value 2 years later is P(1+0.03)^4

</span><span>We need to recognize these patterns. Similarly, we can identify the accumulated value of all 50 payments of "P". Starting from the last payment normally is most clear.
</span>
<span>P(1.03) + P(1.03)^2 + P(1.03)^3 + ... + P(1.03)^50
 That needs to make sense. After that, it's an algebra problem.
 P[(1.03) + (1.03)^2 + (1.03)^3 + ... + (1.03)^50]
</span>
P(<span><span>1.03−<span>1.03^51)/(</span></span><span>1−1.03) </span></span>= <span>250000</span>
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3 years ago
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