Chithurst Co gained a share exchange listing five years ago. At the time of the listing, members of the family who founded the company owned $75$ percent of the shares, but now they only hold just over $50$ percent. The companies also has purchased an insurance plan to minimize the financial distress in the following:

$\backslash$table$[[$Plan$,$Insurance Policy$],[$Protect $88,\backslash$table$[[$An insurance policy that provides RM$5,000$ of straight deductible$],[$with an annual policy limit of RM$22,000.]]],[$Maxi Protector,$\backslash$table$[[$An insurance policy that provides RM$22,000$ of deductible with a$],[$coinsurance of $5$ percent.$]]],[$Great Secure,$\backslash$table$[[$An insurance policy that provides RM$6,450$ deductible, $85],[$percent coinsurance of the balance after deductible with annual$],[$policy limit of RM$18,200.]]]]$

The companies have historical losses incurred as follows:

$\backslash$table$[[$Chithurst Co$,$Eartham Co$,$Iping Co$],[$Loss$,$Probability,Loss,Probability,Loss,Probability$],[$RM$30,500,0\mathrm{.}10,$RM$20,660,0\mathrm{.}14,$RM$28,880,0\mathrm{.}30],[$RM$28,000,0\mathrm{.}20,$RM$12,990,0\mathrm{.}08,$RM$21,700,0\mathrm{.}15]]$

RISK MANAGEMENT

$\frac{2}{3}$

CONFIDENTIAL

$\backslash$table$[[$RM$21,700,0\mathrm{.}40,$RM$9,870,0\mathrm{.}26,$RM$19,430,0\mathrm{.}10],[$RM$29,990,0\mathrm{.}20,$RM$18,400,0\mathrm{.}22,$RM$20,000,0\mathrm{.}05],[$RM$18,900,0\mathrm{.}10,$RM$29,500,0\mathrm{.}30,$RM$26,660,0\mathrm{.}20],[,,,,$RM$30,080,0\mathrm{.}20]]$

Determine the expected amount paid by insurer to the companies for each policy. $(30$ marks$)$