Question

I need assistance determining the steps required to answer the Chapter 4 Data Case questions 2, 3, and 4 in the Fundamentals of Corporate Finance 4th edition by Berk, DeMarzo and Harford. I have provided the answer to question 1. An analysis isn't required. Only the steps to obtain the answers. Can anyone help?

Data Case: Assume that today is August 5, 2015, Natasha Kingery is 30 years old and has a Bachelor of Science degree in computer science. She is currently employed as a Tier 2 field service representative for a telephony corporation located in Seattle, Washington, and earns $38,000 a year that she anticipates will grow at 3% per year. Natasha hopes to retire at age 65 and has just begun to think about the future.

Natasha has $75,000 that she recently inherited from her aunt. She invested this money in 10-year Treasury bonds. She is considering whether she should further her education and would use her inheritance to pay for it. She has investigated a couple of options and is asking for your help as a financial planning intern to determine the financial consequences associated with each option. Natasha has already been accepted to two programs and could start either one soon.

One alternative that Natasha is considering is attaining a certification in network design. This certification would automatically promote her to a Tier 3 field service representative in her company. The base salary for a Tier 3 representative is $10,000 more than the salary of a Tier 2 representative, and she anticipates that this salary differential will grow at a rate of 3% a year for as long as she remains employed. The certification program requires the completion of 20 Web-based courses and a score of 80% or better on the final exam. She has learned that the average amount of time necessary to finish the program is one year. The total cost of the program is $5,000, due when she enrolls in the program. Because she will do all the work for the certification on her own time, Natasha does not expect to lose any income during the certification process.

Another option is going back to school for an MBA degree. With an MBA degree, Natasha expects to be promoted to a managerial position in her current firm. The managerial position pays $20,000 a year more than her current position. She expects that this salary differential will also grow at a rate of 3% per year for as long as she keeps working. The evening program, which will take three years to complete, costs $25,000 per year, due at the beginning of each of her three years in school. Because she will attend classes in the evening. Natasha doesn't expect to lose any income while she is earning her MBA if she chooses to undertake it.

1. Determine the interest rate Natasha is currently earning on her inheritance by going to Yahoo! Finance (http://finance.yahoo.com) and clicking the 10 Yr. Bond link in the Market Summary section or enter ^TNX in the symbol lookup field. Then go to the Historical Prices link and enter the appropriate date, August 5, 2015, to obtain the closing yield or interest rate she is earning. Use this interest rate as the discount rate for the remainder of this problem. Interest rate is 2.268%

2. Create a timeline in Excel for Natasha's current situation, as well as the certification program and MBA degree options, using the following assumptions:

a. Salaries for the year are paid only once, at the end of the year.

b. The salary increase becomes effective immediately upon graduating from the MBA program or being certified. That is, because the increases become effective immediately but salaries are paid at the end of the year, the first salary increase will be paid exactly one year after graduation or certification.

3. Calculate the present value of the salary differential for completing the certification program. Subtract the cost of the program to get the value of undertaking the certification program.

4. Calculate the present value of the salary differential for completing the MBA degree. Calculate the present value of the cost of the MBA program. Based on your calculations, determine the value of undertaking the MBA.

5. Based on your answers to Questions 3 and 4, what advice would you give to Natasha? What if the two programs are mutually exclusive? If Natasha undertakes one of the programs, there is no further benefit to undertaking the other program. Would your advice change?

Answer 1

2. Using the assumptions given and assuming that she starts the course on 31 December, 2015 (Year 0):

	Year 0	Year 1	Year 2	Year 3	Year 4	Year 5	Year 6	Year 7	Year 8	Year 9	Year 10	Year 11	Year 12	Year 13	Year 14	Year 15	Year 16	Year 17	Year 18	Year 19	Year 20	Year 21	Year 22	Year 23	Year 24	Year 25	Year 26	Year 27	Year 28	Year 29	Year 30	Year 31	Year 32	Year 33	Year 34	Year 35
Current situation	$         38,000	$         39,140	$         40,314	$         41,524	$         42,769	$         44,052	$         45,374	$         46,735	$         48,137	$         49,581	$         51,069	$         52,601	$         54,179	$         55,804	$         57,478	$         59,203	$         60,979	$         62,808	$         64,692	$         66,633	$           68,632	$           70,691	$           72,812	$           74,996	$           77,246	$           79,564	$           81,950	$           84,409	$           86,941	$           89,549	$           92,236	$           95,003	$           97,853	$         100,789	$         103,812	$         106,927
With certificate	$         38,000	$         39,140	$         50,314	$         51,824	$         53,378	$         54,980	$         56,629	$         58,328	$         60,078	$         61,880	$         63,737	$         65,649	$         67,618	$         69,647	$         71,736	$         73,888	$         76,105	$         78,388	$         80,740	$         83,162	$           85,657	$           88,226	$           90,873	$           93,599	$           96,407	$           99,299	$         102,278	$         105,347	$         108,507	$         111,762	$         115,115	$         118,569	$         122,126	$         125,790	$         129,563	$         133,450
With MBA	$         38,000	$         39,140	$         40,314	$         41,524	$         62,769	$         64,652	$         66,592	$         68,590	$         70,647	$         72,767	$         74,950	$         77,198	$         79,514	$         81,900	$         84,357	$         86,887	$         89,494	$         92,179	$         94,944	$         97,793	$         100,726	$         103,748	$         106,861	$         110,066	$         113,368	$         116,769	$         120,273	$         123,881	$         127,597	$         131,425	$         135,368	$         139,429	$         143,612	$         147,920	$         152,358	$         156,928

Now calculate NPV of future salaries for all three situations, using the schedule above. Then

Current situation =  $1,505,339.93
With certificate =  $1,859,822.45
With MBA =  $2,137,428.41

3. Present value of the salary differential for completing the certification program = NPV(With certificate)-NPV(Current situation) =  $1,859,822.45 - $1,505,339.93 =  $354,482.52 => value of certification =  $349,482.52
4. Similarly =  $632,088.48, PV(MBA) =  $73,349.02 => value of MBA =  $558,739.46

5. Since value of MBA > value of certificate => She should do MBA asap!