5. Mr. Johnson wants to buy insurance against his house burning down. The insurance will pay M Johnson $500,000 if his house burns down. The probability that Mr. Johnson's house will burn down in a given year is 0.005, so the probability that it will not burn down is 0.995. The insurance premium for the policy is $2,000 per year. (a) Determine the expected return for the insurance company. (b) Because the insurance company is losing money on house insurance, a company office asks the premium manager to determine the annual premium required for the insurance company to make $1,000 on each $500,000 policy. Determine the annual premium.

5. Mr. Johnson wants to buy insurance against his house burning down. The insurance will pay M Johnson $500,000 if his house burns down. The probability that Mr. Johnson's house will burn down in a given year is 0.005, so the probability that it will not burn down is 0.995. The insurance premium for the policy is $2,000 per year. (a) Determine the expected return for the insurance company. (b) Because the insurance company is losing money on house insurance, a company office asks the premium manager to determine the annual premium required for the insurance company to make $1,000 on each $500,000 policy. Determine the annual premium.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Paul and Paula are purchasing a home for a price of $500,000. To avoid paying mortgage insurance, they will make a down payment of 20% of the price or $100,000. They will finance the remaining $400,000 with a 30-year, monthly payment, amortized mortgage at a fixed 7.2% nominal interest rate, with the first payment due in one month. What will the size of their monthly payment be?
4
Joe wants to own a home in the future. He asks you describe an advantages and disadvantage of a FRM versus an ARM. He then asks you to describe the advantages and disadvantages of a 15-year loan versus a 30-year loan. He also wants to know how the portion of the home payment that comprises interest changes over the years assuming he takes out an FRM. Is there anything he can do to reduce the total amount he’ll pay for the home? What else would be added to his monthly mortgage payment? What are three benefits of home ownership? What are three benefits of renting?
Suppose a life insurance company sells a $250,000 one-year term life insurance policy to a 24-year-old female for $360. The probability that the female survives the year is 0.999477. Compute and interpret the expected value of this policy to the insurance company. The expected value is $ (Round to two decimal places as needed.) Which of the following interpretation of the expected value is correct? O A. The insurance company expects to make an average profit of $32.71 on every 24-year-old female it insures for 1 month. O B. The insurance company expects to make an average profit of $359.81 on every 24-year-old female it insures for 1 year. O C. The insurance company expects to make an average profit of $20.84 on every 24-year-old female it insures for 1 month. O D. The insurance company expects to make an average profit of $229.25 on every 24-year-old female it insures for 1 year.
Find the expected net profit of an insurance company on a life-insurance policy whose death benefit is $1,000,000 if the annual premium for the policy is $2000 and the chance of the customer dying within the next year is 0.002. Interpret. (show work)
Suppose that you invest $50,000 into a downpayment on a $250,000 house, which has a price appreciation of 3% per year. Your mortgage is fixed at $ 36,000 per year, and your tenants pay you $24,000 per year. Property taxes, maintenance, and other expenses cost $5,000 per year. Suppose that after 25 years, you sell your property. Would it have been better to invest $ 50,000 in the stock market, assuming it has returns of 9% per year over the same time period (25 years)? Why? Show your calculations and justify your answer. For the purposes of this question, suppose that inflation is zero.
II. Instead of buying insurance for retirement, you decided to set aside some savings in the bank. You believe that saving money in the bank is safer and more convenient than buying insurance. A)IfyouinvestOMR15,000nowat10%compoundedannually,howmuchwillbeinyouraccount after 20 years? B)IfyouinvestOMR15,000nowat10%compoundedquarterly,howmuchwillbeinyouraccount after 20 years? C)Discussthefactorswhatwillincreasethefuturevalueoftheamount.
Suppose you have just purchased your first home for $550,000. At the time of purchase you could only afford to commit to a down payment of $55,000. In order to make the loan, the lender requires you to obtain private mortgage insurance (PMI) on their behalf. Suppose over time you paid down the principal of the loan to $535,000 and at that point in time you can no longer make any mortgage payments (i.e., you default on the loan). If the lender were to foreclose on your property and sell it for $508,000 (net proceeds), what would the lender's loss of principal be taking into consideration the protection of mortgage insurance? (Let's assume that the PMI in this case covers the top 25% of the loan.)

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