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BaLLatris [955]
3 years ago
10

An auto insurance company is implementing a new bonus system. In each month, if a policyholder does not have an accident, they w

ill receive a cash-back bonus of 5 from the company. Among the 1000 policyholder of the auto insurance company, 400 are classified as low-risk drivers and 600 are classified as high-risk drivers. In each month, the probability of zero accidents for high-risk drivers is 0.80 and the probability of zero accidents for low-risk drivers is 0.90. Calculate the expected bonus payment from the company to the 1000 policyholders in one year.
Business
1 answer:
andrey2020 [161]3 years ago
7 0

Answer:

50,400

Explanation:

Using application of total expectation, E;

N= Number of policy holders who have zero accidents in one month

P= Probability

N|Low = 400

N|High=600

P|Low=0.9

P|High=0.8

Therefore E = (N|Low*P|Low)+(N|High*P|High)

E=(400*0.9)+(600*0.8)

E=360+480

E=840

Then Total bonus for the year B

B= E*12*5

B=840*12*5

B=50,400

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B. Capital

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3 years ago
Pools purchased $ 60 comma 000 of 14​% DMH bonds on January​ 1, 2018​, at a price of 159.5 when the market rate of interest was
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Answer:

Initial purchase of the bonds on 1st January 2016

Assuming that $60,000 bonds includes 600 bonds with face value of $100 each

Now, Lamar insurance purchased these bonds at a discount price of $159.5 each bond.

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Therefore journal entry for recording purchase of bonds on 1st January 2016 will be,

Investments in bonds A/c Debit $95,700

To, Bank/Cash A/c credit $95,700

Note: The bonds have been issues at a discount and it seems to be reasonable owing to the fact that the market interest rate is 6% , whereas the bonds have a interest rate of 14%.

Interest entry on the first interest payment date of 1st July 2016

Interest amount to be received on 1st July 2016 = ($60,000 *14%)*6/12 = $4.200

Since interest is paid semi annually, therefore we have taken interest for 6 months.

Journal entry will be:

Bank A/c Debit $4,200

To, Interest on bonds A/c Credit $4,200

5 0
3 years ago
Fraud Investigators Inc. operates a fraud detection service. On March 31, 10 customers were billed for detection services totali
mr_godi [17]

Answer:

Fraud Investigators Inc.

1. Journal Entries:

March 31:  Debit Accounts Receivable $21,000

Credit Service Revenue $21,000

To record the rendering of service on account.

Oct. 31: Debit Allowance for Uncollectible Accounts $1,300

Credit Accounts Receivable $1,300

To write-off uncollectible accounts.

Dec. 15: Debit Accounts Receivable $760

Credit Allowance for Uncollectible Accounts $760

To reverse a previously written-off account.

Dec. 15: Debit Cash $760

Credit Accounts Receivable $760

To record the cash collected from the customer.

Dec. 31: Debit Bad Debts Expense $460

Credit Allowance for Uncollectible Accounts $460

To record bad debts expense for the year.

A) Debit Accounts Receivable $34,000

Credit Service Revenue $34,000

To record the rendering of service on account.

B) Debit Allowance for Uncollectible Accounts $1,950

Credit Accounts Receivable $1,950

To write off uncollectible accounts.

C1) Debit Accounts Receivable $810

Credit Allowance for Uncollectible Accounts $810

To reverse a previously written-off debt.

C2) Debit Cash $810

Credit Accounts Receivable $810

To record the receipt of cash from the customer.

D) Debit Bad Debts Expense $590

Credit Allowance for Uncollectible Accounts $590

To record bad debts expense for the year.

2. Transaction  Net Receivable  Net Sales   Income From Operation

        A                  +34,000           +34,000           +34,000

        B                  -1,950                 NE                   -1950

        C                  +/- 810                NE                    +810

        D                   NE                     NE                    -590

Explanation:

a) Data and Analysis:

March 31:  Accounts Receivable $21,000 Service Revenue $21,000

Oct. 31: Allowance for Uncollectible Accounts $1,300 Accounts Receivable $1,300

Dec. 15: Accounts Receivable $760 Allowance for Uncollectible Accounts $760

Dec. 15: Cash $760 Accounts Receivable $760

Dec. 31: Bad Debts Expense $460 Allowance for Uncollectible Accounts $460

A) Accounts Receivable $34,000 Service Revenue $34,000

B) Allowance for Uncollectible Accounts $1,950 Accounts Receivable $1,950

C1) Accounts Receivable $810 Allowance for Uncollectible Accounts $810

C2) Cash $810 Accounts Receivable $810

D) Bad Debts Expense $590 Allowance for Uncollectible Accounts $590

7 0
3 years ago
Suppose you are committed to owning a $215,000 ferrari. if you believe your mutual fund can achieve an annual return of 10.8 per
Pie

Answer: I must invest <u>$85424.14</u> today in order to buy a Ferrari nine years from now on the day I turn 30.

We have

Price of the Ferrari nine years from now (Future Value - FV)    $215000

Expected Rate of return on the mutual fund (r)    10.8%

Time until I turn 30  (n)   9 years

We can calculate the Present Value (PV) or the money to be invested today as

\mathbf{PV = \frac{FV}{(1+n)^{n}}}

PV = \frac{215000}{(1+0.108)^{9}}

\mathbf{PV = 85424.14022}

6 0
3 years ago
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