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valentinak56 [21]
3 years ago
15

An insurer sells a very large number of policies to people with the following loss distribution: $100,000 with probability 0.005

$ 60,000 with probability 0.010 Loss = $ 20,000 with probability 0.020 $10,000 with probability 0.05 $0 with probability 0.915 a. Calculate the expected claim cost per policy b. Assume claims are paid one year after premiums are received and that the in terest rate is 6 percent. Calculate the dis- counted expected claim cost per policy c. Assume that the only administrative cost is the cost of processing an application, which equals $100 per policy, and that the fair profit loading is $50. What is the fair premium?
Business
1 answer:
kogti [31]3 years ago
3 0

Answer:

a) $2000

b)  $1,886.7925

C) $2,036.7925

Explanation:

First, the question states to determine the expected claim cost per policy

Expected Claim Cost represents the fund required to be paid by an insurer for a particular contract or a group of contracts as the case maybe. This is usually based on the policy taken.

A) Expected Claim Cost per policy

= (Policy Loss Value A x its probability) + (Policy Loss Value B x its probability) + (Policy Loss Value C x its probability)+(Policy Loss Value D x its probability)+ (Policy Loss Value E x its probability)

= ( (100000 x 0.005 )+ (60000 x 0.010) + (20000 x 0.02) + (10000 x 0.05) + 0 = $2000

Part B: discounted expected claim cost per policy

Since, the sum of $2000 is expected to be paid by the insurer by the end of the year, the interest to be earned based on the rate  (discounting used)

=$2,000 ÷ (1  + 0.06)

= $1,886.7925

Part C:: Determine the Fair Premium

Fair Premium is calculated as follows

The discounted policy claim cost + the Processing Cost per application + The fair profit loading

= $1,886.7925+ $100+50 = $2,036.7925

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Answer:

Her economic cost of attending college would be $175,000 if over the two years she could a total of $53,000.

Explanation:

Economic cost can be defined as the total cost of pursuing an endeavor including the opportunity cost. The opportunity cost is the cost of choosing one alternative over the other. The opportunity cost is usually considered by economists to determine the overall loss or profit one gains from picking one choice over the other. An economic cost is a kind of implicit cost that varies from organization to organization depending on different perspectives. In our  case, we need to compare the costs of attending college for two years with the cost of using the same two years working. This can be calculated as shown;

<em>Step 1: Determine Economic cost of attending graduate school</em>

The economic cost for attending college can be expressed as show;

E=T+R+B+O

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R=cost for a room and board

B=books cost

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In our case;

E=$175,000

T=$100,000

R=$20,000

B=$2,000

O=unknown, to be determined

Replacing;

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175,000=122,000+O

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The opportunity cost for attending college=$53,000. This means that she will sacrifice $53,000 if she decides to attend college.

Her economic cost of attending college would be $175,000 if over the two years she could a total of $53,000.

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