Question

BUSI 320 Comprehensive Problem 3 Spring 2020

Use what you have learned about the time value of money to analyze each of the following decisions:

Decision #1:   Which set of Cash Flows is worth more now?

Assume that your grandmother wants to give you generous gift. She wants you to choose which one of the following sets of cash flows you would like to receive:

Option A: Receive a one-time gift of $10,000 today.   

Option B: Receive a $1600 gift each year for the next 10 years. The first $1600 would be

     received 1 year from today.             

Option C: Receive a one-time gift of $20,000 10 years from today.

Compute the Present Value of each of these options if you expect the interest rate to be 2% annually for the next 10 years.    Which of these options does financial theory suggest you should choose?

       Option A would be worth $10,000 today.

      Option B would be worth $__________ today.

       Option C would be worth $__________ today.

       Financial theory supports choosing Option _______

       

Compute the Present Value of each of these options if you expect the interest rate to be 5% annually for the next 10 years. Which of these options does financial theory suggest you should choose?

       Option A would be worth $__________ today.

       Option B would be worth $__________ today.

       Option C would be worth $__________ today.

      Financial theory supports choosing Option _______

Compute the Present Value of each of these options if you expect to be able to earn 8% annually for the next 10 years. Which of these options does financial theory suggest you should choose?

       Option A would be worth $__________ today.

       Option B would be worth $__________ today.

       Option C would be worth $__________ today.

       Financial theory supports choosing Option _______

Decision #2 begins at the top of page 2!

Decision #2: Planning for Retirement

Todd and Jessalyn are 25, newly married, and ready to embark on the journey of life.   They both plan to retire 45 years from today. Because their budget seems tight right now, they had been thinking that they would wait at least 10 years and then start investing $2400 per year to prepare for retirement. Jessalyn just told Todd, though, that she had heard that they would actually have more money the day they retire if they put $2400 per year away for the next 10 years - and then simply let that money sit for the next 35 years without any additional payments - than they would have if they waited 10 years to start investing for retirement and then made yearly payments for 35 years (as they originally planned to do).  

Please help Todd and Jessalyn make an informed decision:   

Assume that all payments are made at the end of a year, and that the rate of return on all yearly investments will be 8.4% annually.

1. How much money will Todd and Jessalyn have in 45 years if they do nothing for the next 10 years, then puts $2400 per year away for the remaining 35 years?

2. How much money will Todd and Jessalyn have in 10 years if they put $2400 per year away for the next 10 years?

b2) How much will the amount you just computed grow to if it remains invested for the remaining

35 years, but without any additional yearly deposits being made?

3. How much money will Todd and Jessalyn have in 45 years if they put $2400 per year away for each of the next 45 years?

4. How much money will Todd and Jessalyn have in 45 years if they put away $200 per MONTH at the end of each month for the next 45 years? (Remember to adjust the 8.4% annual rate to a Rate per month!) (Round this rate per month to 5 places past the decimal)

                                                                   example of rounding: .062134 = .06213 or 6.213%

5. If Todd and Jessalyn wait 25 years (after the kids are raised!) before they put anything away for retirement, how much will they have to put away at the end of each year for 20 years in order to have $1,000,000 saved up on the first day of their retirement 45 years from today?

Answer 1

As HOMEWORKLIB instructions, only one question upto 4 subparts can be answered, here is the answer for Decision 1) so please understand and provide your like. please post the second question seperately, so that we can answer

Decision 1)
Option A) 10000
Option b)
Year	Present value Factor @ 2%	Present value of 1600
1	0.980392157	1568.627451
2	0.961168781	1537.87005
3	0.942322335	1507.715735
4	0.923845426	1478.152682
5	0.90573081	1449.169296
6	0.887971382	1420.754211
7	0.870560179	1392.896286
8	0.853490371	1365.584594
9	0.836755266	1338.808425
10	0.8203483	1312.55728
		14372.13601
Option B	14372.13601
Option c)	Present value Factor @ 2% after 10th years
	0.8203483
	20000
	16406.966
Financial theory supports choosing option c)
If interest rate 5%
Option A) 10000
Option b)
Year	Present value Factor @ 5%	Present value of 1600
1	0.952380952	1523.809524
2	0.907029478	1451.247166
3	0.863837599	1382.140158
4	0.822702475	1316.32396
5	0.783526166	1253.641866
6	0.746215397	1193.944635
7	0.71068133	1137.090128
8	0.676839362	1082.942979
9	0.644608916	1031.374266
10	0.613913254	982.2612057
		12354.77589
Option B	12354.77589
Option c)	Present value Factor @ 2% after 10th years
	0.613913254
	20000
	12278.26507
Financial theory supports choosing option b)
If interest rate 8%
Option A) 10000
Option b)
Year	Present value Factor @ 8%	Present value of 1600
1	0.925925926	1481.481481
2	0.85733882	1371.742112
3	0.793832241	1270.131586
4	0.735029853	1176.047764
5	0.680583197	1088.933115
6	0.630169627	1008.271403
7	0.583490395	933.5846324
8	0.540268885	864.4302152
9	0.500248967	800.3983474
10	0.463193488	741.1095809
		10736.13024
Option B	10736.13024
Option c)	Present value Factor @ 2% after 10th years
	0.463193488
	20000
	9263.869762
Financial theory supports choosing option b)