Sunday, 16 June 2019

Case Study One Solution


Case Study 1 Solution
Introduction
  1. Calculate the current cost of Jazz’s college education
True interest = Nominal interest - Inflation interest
                     = 0.07 - 0.03
                    = 0.4%
0r
True interest rate + 1 = 1+ (R)) = (1+ (r)) / (1+ (i))
R= Real Interest Rate
r= nominal interest rate
i = inflation interest rate
                            =  1 +0.07 / 1 + 0.03
                            = 3.88%
Amount = $20000 * 5
               =$ 100000
Present Value = FV ( 1 + I )-n
                       = $100000 (1 + 3.88%)-18
                        =$ Answer 1
  1. Calculate the capital needs of the couple at retirement  and current value of their retirement needs
100yrs – 67yrs = 33yrs
Total capital needed= 33yrs * $ 150,000 per year
                                = $ 4,950,000
                                  $4,950,000
True interest rate + 1 = 1+ (R)) = (1+ (r)) / (1+ (i))
                                                        = R
Present Value = $ 4,950,000 * ( 1 + R) -42
                                    =$ Answer 2
  1. Provide the couples with their goals with the current total amount needed to reach their goals showing how you arrived at the total
Goals = retirement amount needed + college fee
          = $Answer 2 + $ 51192
           =$ Answer 3
  1.  
Social Security = $ 40,000
                           Present value = 40000 * (1 + R)-42
                                                                           = 2360
401(K) savings = $5000 * (67yrs – 25yrs)
                          = $ 210,000
                            Present value = 210,000 * ( 1 + R)-42
                                                                             =12394
Current savings = $ 100000
                             Total savings = 100000 + 2360 + 12394
                                                     = $114754
                                  Goals           = $ 376,054
                             Difference = ( $ 261,300)
The couples do not have sufficient funds to meet their goals as from the calculations above shows that the current savings are not enough to meet their goals by $ 261, 300.  As per their current savings they will have $ 114,754 while their requirement is $ 376,054. This simply means that they are short by the same amount.

  1. Using calculations and explanations provide the couple with three alternatives for meeting their goals.
                                                       I.            Reduce their need after retirement for example by $ 40,000
100yrs – 67yrs = 33yrs
Total capital needed= 33yrs * $ 40000 per year
                                =$ 1,320,000
                                 
True interest rate + 1 = 1+ (R)) = (1+ (r)) / (1+ (i))
                           
                             = R2%
Present Value = $ 1320000 * ( 1 + R2) -42
                                    =$ 83615
Difference from $150,000
                            = $ 292438 which will compensate for the 261,300 difference
ii) Increase current savings by $ 261300
This is the same difference by which they are short, if they do this the difference will be zero thus they will be able to meet their difference.

iii) Increase their 401 (k) savings by $ 6198 per year for the next 42years
6198 * 42 = $260300
This will also compensate for the difference needed to meet their goals.

  1. In your own words provide the couples  with the advantages and disadvantages of two accounts and/or investments instruments that are used to specifically save for college education expenses . which would you recommend.
a.      Qualified Tuition Program
Advantages of this is that  there is no  income limit for the contributors ( Jerry and Jenny) thus they can contribute whatever their income is. Another advantage is that they are also tax free meaning they will not be taxed on the amount contributed which reduce their tax expenses leaving them with more income.
The disadvantages include that incase of a withdrawal fom a plan, the amount will be taxed and also it generally requires that the amount be used before the beneficiary turns 30 years of age (Wasik, 2014).
b.      Coverdell Education Savings Account
An advantage of the Coverdell is that it can be used for k-12 related expenses as well as higher education expenses (United States of America Patent No. US20060167780 A1, 2006). Distributions are also not included included in the beneficiary’s income as long as they are used for qualified education expenses.
The disadvantage of this is that it is limited to $ 2,000 per beneficiary regardless of the number of contributors that might be available in our case it is only Jenny. To add to that, with a Coverdell there might be be fees associated withopening and maintaining an account.


References

Friedman, G. (2006, July 27). United States of America Patent No. US20060167780 A1.
Wasik, J. (2014, november 4). The Five Best College Saving Plans. Forbes, 1-2. Retrieved from www.forbes.com



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