Apex Fire enters into a surplus share reinsurance treaty with Geneva Re for fire insurance coverage. Apex Fire has a retention limit of $$100,000$ and four lines of insurance are ceded to Geneva Re$.(8$ points, $1$ point each$)$

Ump Inc. owns a building that is insured by Apex for $$300,000$ of coverage. The premium paid to Apex by Ump equals $$6000.$ How much of $$6000$ premium is ceded to Geneva Re$?$

Refer back to $2$a$.$ How much of the $$6000$ premium is held by Apex?

Refer back to $2$a$.$ Ump Inc. suffers a $$30,000$ fire loss covered under the insurance policy. How much will Geneva pay for the fire loss?

Refer back to $2$a$.$ Ump Inc. suffers a $$30,000$ fire loss covered under the insurance policy. How much will Apex pay for the fire loss?

Amp Inc. owns a building that is insured by Apex for $$100,000$ of coverage. The premium paid to Apex by Amp equals $$500.$ How much of $$500$ premium is ceded to Geneva Re$?$

Refer back to $2$e$.$ How much of the $$500$ premium is held by Apex?

Refer back to $2$e$.$ Amp Inc. suffers a $$30,000$ fire loss covered under the insurance policy. How much will Geneva pay for the fire loss?

Refer back to $2$e$.$ Amp Inc. suffers a $$30,000$ fire loss covered under the insurance policy. How much will Apex pay for the fire loss?