A life insurance policy is a financial contract that collects a premium of p per period...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A life insurance policy is a financial contract that collects a premium of p per period from the insured and pays out a lump sum benefit B upon the death of the insured. Let m denote the mortality rate, r denote the interest rate and V denote the expected present value of economic profits of the insurance company on this policy. Use the recursive asset pricing formula p + EV' V =! 1+r to express equilibrium life insurance premium, p, through exogenous variables. Explain your answer and show all work. (iii) Loan calculators Suppose that loan of size S is repaid over T periods with equal per-period payments p and interest rate on the loan r. Initial loan size has to be equal to the present value of the payments: S = 1+r' (1+r)2 +...+ (1+ r)T a) Calculate a monthly payment on the following mortgage. Annual interest rate is r = 0.06, mortgage term is 30 years, loan size S = 200,000. (Hint: since you are asked about the monthly payment, present value should be discounted at a monthly frequency. Start with figuring out the monthly interest rate and the mortgage term expressed in months, then apply the formula). b) Jill would like to buy a car that costs S = 20,000. The dealer offers her a 60-month loan with 0 down and a monthly payment p = 421. Calculate the annual interest rate on this loan using Excel. Take the following steps: 1. Generate a column of 40 monthly interest rates, with r = {0.001,0.002,.,0.040}, say column A, starting with Al. 2. Use the geometric series formula to express the present value of payments through p,T and rm, where rm is the monthly interest rate. Plug in the numeric value for p, T and put this formula into cell B1. Have the formula refer to the interest rate from cell Al. Select B1:B100 and press CTRL+D. This will copy the formula and generate a column of present values that correspond to different monthly interest rate. Pick an interest rate from a row whose cell B value corresponds most closely to S. 3. Convert the monthly interest rate rm that you found on step 2 into annual using the compounding formula 1+ ra = (1+ rm)12. A life insurance policy is a financial contract that collects a premium of p per period from the insured and pays out a lump sum benefit B upon the death of the insured. Let m denote the mortality rate, r denote the interest rate and V denote the expected present value of economic profits of the insurance company on this policy. Use the recursive asset pricing formula p + EV' V =! 1+r to express equilibrium life insurance premium, p, through exogenous variables. Explain your answer and show all work. (iii) Loan calculators Suppose that loan of size S is repaid over T periods with equal per-period payments p and interest rate on the loan r. Initial loan size has to be equal to the present value of the payments: S = 1+r' (1+r)2 +...+ (1+ r)T a) Calculate a monthly payment on the following mortgage. Annual interest rate is r = 0.06, mortgage term is 30 years, loan size S = 200,000. (Hint: since you are asked about the monthly payment, present value should be discounted at a monthly frequency. Start with figuring out the monthly interest rate and the mortgage term expressed in months, then apply the formula). b) Jill would like to buy a car that costs S = 20,000. The dealer offers her a 60-month loan with 0 down and a monthly payment p = 421. Calculate the annual interest rate on this loan using Excel. Take the following steps: 1. Generate a column of 40 monthly interest rates, with r = {0.001,0.002,.,0.040}, say column A, starting with Al. 2. Use the geometric series formula to express the present value of payments through p,T and rm, where rm is the monthly interest rate. Plug in the numeric value for p, T and put this formula into cell B1. Have the formula refer to the interest rate from cell Al. Select B1:B100 and press CTRL+D. This will copy the formula and generate a column of present values that correspond to different monthly interest rate. Pick an interest rate from a row whose cell B value corresponds most closely to S. 3. Convert the monthly interest rate rm that you found on step 2 into annual using the compounding formula 1+ ra = (1+ rm)12.
Expert Answer:
Answer rating: 100% (QA)
The Monthly payment can be calculated as Loan SizeX1... View the full answer
Related Book For
Principles of Risk Management and Insurance
ISBN: 978-0132992916
12th edition
Authors: George E. Rejda, Michael McNamara
Posted Date:
Students also viewed these finance questions
-
Your rich uncle dies, leaving you a life insurance policy worth $100,000. The insurance company also offers you an option to receive $8,225 per year for 20 years, with the first payment due today....
-
A life insurance policy is a financial asset, with the premiums paid representing the investments cost. a. How would you calculate the expected return on a 1-year life insurance policy? b. Suppose...
-
A life insurance policy is a financial asset. The premiums paid represent the investments cost. a. How would you calculate the expected return on a life insurance policy? b. Suppose the owner of a...
-
Sally works as a welder at Heavy Iron Works Company. She is the only female welder in a shop with ten male welders. Teddy is the manager of that shop with Sally and the ten male welders. Sally is...
-
List any errors you can find in the following partial balance sheet: Napa Vino Company Balance Sheet December 31, 20Y6 Assets Current assets: 78,500 Cash Notes receivable Interest receivable 300,000...
-
Find the probability of getting 3 or more episodes of otitis media in the first 2 years of life. Otolaryngology Assume the number of episodes per year of otitis media, a common disease of the middle...
-
Given the background reading, list three verbal deception and three non-verbal deception cues that you believe that Aldrich Ames might exhibit and describe why
-
Earnings for several employees for the week ended March 12, 20--, are as follows: Calculate the employer's payroll taxes expense and prepare the journal entry as of March 12, 20--, assuming that FUTA...
-
Research Web-based database technologies and identify a database management system (other than SQL Server, MySQL, or Oracle) that is used to deploy applications to the Web and the cloud. Discuss the...
-
A fireboat draws seawater (SG =1.025) from a submerged pipe and discharges it through a nozzle, as in Fig. P3.137. The total head loss is 6.5 ft. If the pump efficiency is 75 percent, what horsepower...
-
122. A study revealed that in a study group, intake of betacarotene decreases carcinoma of colon but it actually may be due to increased intake of dietary fibre. This is due to: a. Confounding factor...
-
Name the three different types of clouds. How do they differ from one another?
-
What is an invariant? How are invariants modeled in a design of a class? Give an example of an invariant for a hourly employee class using the Object Constraint Language.
-
Describe the functions listed here. Under what conditions would each be appropriate? What are the characteristics of each? A. Double-log. B. Log-linear. C. Linear-log. D. Reciprocal. E. Exponential....
-
What is a WND, and why is it used?
-
Why should the project team consider the existing physical architecture in the organization when designing the physical architecture layer of the new system?
-
In relation to the Employment and Labour Law in Zambia: Select a case (Sentence/Jurisprudence) of Employment and Labour. (The case selected must be from a recent date, for example from 2018 to 2021)...
-
Complete the following acid-base reactions: (a) HCCH + NaH
-
a. Explain the advantages of using insurance in a risk management program. b. Explain the disadvantages of using insurance in a risk management program.
-
Why is time value of money analysis used in risk management decision making?
-
Ashley has an individual medical expense insurance policy with a $1000 calendar-year deductible and a 20 percent coinsurance clause. Ashley had outpatient surgery to remove a bunion on her foot and...
-
Cinnamon, Inc. recorded a total deferred tax asset in Year 3 of \($12\),301, off set by a \($12\),301 valuation allowance. Cinnamon most likely: A . fully utilized the deferred tax asset in Year 3. B...
-
Midland Brands issues three-year bonds dated January 1, 2015 with a face value of $5,000,000. Th e market interest rate on bonds of comparable risk and term is 3%. If the bonds pay 2.5% annually on...
-
A company issues $1,000,000 face value of 10-year bonds on January 1, 2015 when the market interest rate on bonds of comparable risk and terms is 5%. Th e bonds pay 6% interest annually on December...
Study smarter with the SolutionInn App