CSE200 Midterm Exam – TR 1:30pm Lecture

Winter 2009

 

Name _______________________________________________________________ Seat_______________

 

Lab Time (check one):     _________ F 1:30-3:18pm    ________ F 3:30-5:18pm

 

Instructions:

·    Put away all books, papers, and calculators. 

·     Turn off all beepers and cell phones.

·     Read each question carefully and fill in the answer in the space provided.  Answers must be legible or they will be marked incorrect.  If there are multiple answers to choose from, please CIRCLE the correct answer. The question will not be graded at all if there are multiple answers to choose from.

·     When time has run out you will be told to put all pens/pencils down. 

·     Be sure to use values as determined by previous problems and do not use values from problems that have not yet been solved per the ordering of the questions.

·     Use cell references whenever possible.

·     Don’t use a $ if NOT copying

·     Only use the functions given.

·     Your answer should update correctly when additional input data is added to the problem or when input data is changed.

·         All answers given should be “updatable” unless otherwise noted (see above bullet).

·         Do not use extra functions when unnecessary.  For example, =and(not(a1)) uses an extra AND and using extra IF structure is IF(cond,true,false) when just the condition would be the correct answer.

·         Only use quotes when necessary – do NOT use quotes around Boolean values.

·         You MUST turn in all pages of your exam or you will receive a zero for the test.

 

 

 

Problem Description

 

As the controller for a medium sized business services firm, you have been charged with calculating the cost of a government mandated benefit of providing a $5000 term life insurance policy to all qualified full time employees.  One possible option is to go with an insurance carrier that will price out this life insurance for each individual employee. To estimate the premium costs of this option you have compiled a list of all full time employees and their required health information.  You have also incorporated into your workbook the base rate premiums from a low cost bidder, and various factors needed in the analysis.

 

Sheet analysis! contains information by employee including their age, height (height is given in feet and inches ie: an employee who is 5 foot 9 inches would have the value 5 listed in column D and the value 9 in column E), and weight.  From this information you will calculate their body mass index and whether or not (TRUE/FALSE) they are at health risk due to their weight.  Additional health information is also listed including; whether the employee is a smoker (TRUE for smoker), has had cancer (TRUE for did have cancer) or if they are diabetic (TRUE if diabetic).  This information will be combined to determine risk factors by this insurance company.

 

Sheet rates! contains the monthly premium cost of $1000 worth of life insurance for given age ranges.  Employees who are under 25 years of age have a base rate monthly premium of $2.25 per $1000 of insurance. Employees who are at least 25 years of age but under 35 will have a base rate monthly premium of $3.50 per $1000 of insurance, etc. Insurance costs scale linearly, so $5000 worth of insurance will cost five times the cost of a $1000 policy).  This factor is provided in cell misc!B5. 

 

Sheet misc! contains some values that will be needed in your calculations including unit conversion factors needed for calculating Body Mass Index (BMI), a scaling factor for $5000 of life insurance premiums vs. $1000 quoted rate (named pfactor), and loan option terms.

 

Sheet risk! contains risk factor multipliers that numerically assess risk based on the number of risk indicators of an employee. These risk factor multipliers will eventually be used in calculating an employee’s final premium. An employee with no risk indicators (Weight Risk, Smoker, Had Cancer, Has Diabetes are all FALSE) would have a risk factor of 0, employees with one risk indicator will have a risk factor of 1.75, employees with 2 or 3 risk indicators will have a risk factor of 3.5 and employees with all 4 risk indicators will have a risk factor of 10.

 

Sheet summary! contains a summary of annual premiums and fees by salary grade.

 

 

For your convenience, the following ranges have been named. Be sure to use them when appropriate:

·         risk!$B$2:$E$3 has been named rfactor

·         misc!$B$5 has been named pfactor

Note: Cells shaded in gray represent data that is given in the problem. 

 


 

Name _______________________________________________________________ Seat_______________

 

Lab Time (check one):     _________ F 1:30-3:18pm    ________ F 3:30-5:18pm

 

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Answer:

 

1.   (30 points) Write an Excel formula for cell analyis!G3 to be copied down to determine the Body Mass Index (BMI) for this employee.  To calculate BMI divide the employee’s weight in kilograms by the square of their height in meters as follows. Unit conversions are given on worksheet misc!. NOTE: the ^ symbol is used for exponentiation.

Weight in kilograms/(Height in meters)2

 

 

 

 

 

 

2.   (5 points) Write an Excel formula for cell analysis!H3 to be copied down to determine if this employee has a weight risk.  BMI’s of over 30 pose a weight risk (TRUE if weight risk).  Note the value 30 is not provided in the workbook.

 

 

 

 

3.   (30 points) Write an Excel formula for cell analysis!L3 to determine the risk factor for this employee. Risk factors vary based on the number of risk indicators of a given employee (see problem description).  Assume you will copy this formula down the column to determine this factor for each corresponding employee.

 

 

 

 

 

 

 

 

4.      (25 points) Write an Excel formula for cell analysis!M3 to determine the base rate annual premium that will be charged for this employee for $5000 worth of life insurance. Premiums vary by age as given in sheet rates!.  Remember that premium rates as quoted are the monthly rate for $1000 worth of insurance.  Assume you will copy this formula down the column to determine this rate for each corresponding employee.

 

 

 

 

 

 

 

 

 

5.   (10 points) Write an Excel formula for cell analysis!N3 to be copied down to determine (TRUE/FALSE) if this employee is automatically accepted for insurance by this life insurance provider.  If an employee has no risk factors, then they will be automatically approved.

 

 

 

 

 

 

 

 

 

6.   (5 points) Write an Excel formula for cell analysis!O3 to determine (TRUE/FALSE) if this employee will be automatically rejected for insurance by this life insurance provider. Employees with all four risk indicators will be automatically rejected. Assume you will copy this formula down the column to determine this for each corresponding employee.

 

 

 

 

 

 

 

 

7.   (15 points) Write an Excel formula for cell analysis!P3 to determine (TRUE/FALSE) additional medical information needs to be provided for this employee.  Additional information is required only for employees who have had cancer but have none of the other risk indicators. Assume you will copy this formula down the column to determine if additional medical information is needed for the corresponding employee.

 

 

 

 

 

 

 

 

 

 


 

Name _______________________________________________________________ Seat_______________

 

Lab Time (check one):     _________ F 1:30-3:18pm    ________ F 3:30-5:18pm

 

 

8.   (30 points) Write an Excel formula for cell analysis!Q3 (which can be copied down the column) to determine the adjusted annual premium for this employee, rounded to the nearest dollar, based on the following:

·        If an employee is automatically rejected the government will not require your company to pay for this insurance.  So their annual premium will be $0.

·        Premiums for employees who are automatically accepted will simply be the base premium you previously calculated with no adjustments.

·        Premiums for all other employees will be the base premium multiplied by the risk factor previously calculated.

 

 

 

 

 

 

 

 

9.   (10 points) In addition to the annual premium (from the above problem), in the first year there will be an additional policy setup fee of 5% of the annual premium.  If this fee is more than $25 then only a maximum amount of $25 will be charged (note: this value is not provided in the workbook).  Write and Excel formula in cell analysis!R3 to calculate this initial fee for Sam.  Assume you will copy this formula down the column.  For full credit, write this formula without using an IF function.

 

 

 

 

 

10.    (5 points) Write an Excel formula for cell analysis!S3 to calculate the first year total cost of a policy for this employee including the additional initial fee.  Assume you will be copying this formula down the column.

 

 

 

 

11.    (25 points) Write an Excel formula in cell summary!B2 that totals the Annual Premium w/risk factors included (analysis! column Q) for all employees of salary grade 1.  Write the formula such that it can be copied down the column to determine this value for employees with a salary grade of 2, 3, etc.  This formula should also work when copied across the row to return the corresponding total values by salary grade for initial fees and total cost of first year premiums with the initial fee.

 

 

 

 

 

 

 

 

12.    (20 points) The total cost of annual premiums excluding the fees has already been calculated in cell analysis!Q12 (it can be directly referenced in your formula). This amount is due to the insurance company at the beginning of each year.  An alternate payment plan by the insurance company will allow you to pay back this total amount over a period of one year plus interest.  The terms require equal monthly payments of $859 (assume the loan is compounded monthly). The payment value can be found on sheet misc! (please use cell references).  Write an Excel formula in cell analysis!K17 (not shown) to determine the annual interest rate being charged on this loan.

 

 

 

 

 

 

 

 

13.    (20 points) Another alternative is to take out a loan from a bank instead of via the insurance company payment plan.  Bank terms, as given on sheet misc!, require a 4% annual interest rate compounded monthly and a balloon payment at the end of the loan of $1000. The loan duration is one year. Write an Excel formula in analysis!K19 (not shown) to determine the monthly payment that would be required on this loan.

 

 

 

 

 

 

 

 

14.    (15 points) Write an Excel formula in cell analysis!T3 (not shown) to determine the cost ranking of the 1st year premium plus fee (total cost 1st year) for Sam as compared with all other employees.  A rank of 1 should correspond to the most expensive premium.  Assume you will copy this formula down the column to determine this ranking for each corresponding employee

 

 

 

 

 

 

 

 

 

15.    (5 points) You’d like to do is to present a chart to the chief operating officer showing the trend between age and monthly insurance premiums of your employees. What type of chart is best suited to display this type of information?

 

 

 

 

 

TOTAL SCORE _____________/250