Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Mr. Onyango's current wealth consists of his home, which is worth Kshs. 5,000,000 and a Kshs. 2,000,000 in savings earned at 7% in a savings

Mr. Onyango's current wealth consists of his home, which is worth Kshs. 5,000,000 and a Kshs. 2,000,000 in savings earned at 7% in a savings account. His (one year) homeowner's insurance is up for renewal and he has the following estimates of the potential losses on his house owing to fire, storm and so on during the period covered by the renewal:

Value of Loss (Kshs)

Probability

0

0.98

500,000

0.01

1,000,000

0.005

His

5,000,000

0.005

insurance agent has quoted the following premiums:

Amount of Insurance (Kshs)

Premium (Kshs)

3,000,000

30 + AVL1

4,000,000

27 + AVL2

5,000,000

24 + AVL3

Where AVL = Actuarial value of loss = Expected value of the Insurer's loss.

Mr. Onyango expects neither to save nor to dissave during the coming year and he does not expect his home to change appreciably in value over this period. His utility for wealth at the end of the period covered by the renewal is logarithmic; that is U (W) = ln (W).

a.Given that the insurance company agrees with Mr. Onyango's estimate of his losses, should he renew his policy give reasons:

(1)

For the full value of his house

(2 mark)

(2)

For Kshs. 4,000,000

(2 mark)

(3)

For Kshs. 3,000,000

(2 mark)

(4)

Should he cancel it?

(2 mark)

b.Suppose Mr. Onyango has Kshs. 3200000 in a savings account. Based on utility theory assumptions would this change his insurance decision and why?

(8 marks)

c.If Mr. Onyango has Kshs. 2,000,000 in savings and if his utility function is U (W) = -200000

1

Should he renew his home insurance and if yes, for what amount of coverage and what

other factors should he consider?(8 marks)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Construction Accounting And Financial Management

Authors: Steven J. Peterson

4th Edition

0135232872, 978-0135232873

More Books

Students also viewed these Accounting questions