Question 2 (35 points) (Capital Budgeting) You just completed BT321 and you discovered a love of finance. After graduation and having worked in the finance industry for a couple of years, you are thinking of going to get a PhD or an MBA degree to further your knowledge. Assume no inflation. You are deciding between 2 programs: 1) Lakeview University: You can enroll in its world-renowned PhD program tuition-free. However, to live reasonably comfortably, you plan to spend $25,000 a year for 6 years. Upon graduation, your starting salary will be $180,000 per year and will increase by 2% per year until you retire. You will work for 30 years after graduation and then retire. If you did not pursue a PhD, you would have remained working and earned $60k, $65k, $70k, $75k, $80k and $85k per year respectively, from year 1 to year 6. (This is known as the "opportunity cost"). 2) Metropolis University: You can enroll its famous MBA program and study for two years; the sum of tuition and living expense comes to about $120,000 per year. However, you will also have to obtain an additional certificate at the end of year 2, which costs $4,000. Then you must renew your professional certificate every 2 years at the same $4,000 cost. Upon graduation (after 2 years), your starting salary will be $100,000 and will grow by g=4% per year. Assume you will also work for 34 years after graduation. If you did not pursue the MBA, you would have remained working and earned $60k in year 1 and $65k in year 2. (This is known as the "opportunity cost"). Hint: for this exercise, please include the opportunity cost as part of "cash outflows". A. When will your annual salary in option 2 (MBA) catch up with that of option 1 (PhD)? B. Compute IRR for option 1 and option 2. Make sure to include the cost of the professional certificate in option 2. C. What is the NPV for studying at each of the universities? At the 6% discount rate, which option will you choose? Why? (hint-think about the IRR and NPV and what they mean) D. Plot the NPV of each option as a function of the discount rate. Assume a discount rate range of 1% to 32%, with step sizes of 1%. In what situation do you prefer option 1? Option 2? E. Assume a discount rate of 9%. Due to a shortage of PhD supplies, employers increased the initial salary of PhD (option 1) to $220,000 per year. Solve for the starting salary of MBA (option 2) that would make you indifferent between option 1 and option 2? Question 2 (35 points) (Capital Budgeting) You just completed BT321 and you discovered a love of finance. After graduation and having worked in the finance industry for a couple of years, you are thinking of going to get a PhD or an MBA degree to further your knowledge. Assume no inflation. You are deciding between 2 programs: 1) Lakeview University: You can enroll in its world-renowned PhD program tuition-free. However, to live reasonably comfortably, you plan to spend $25,000 a year for 6 years. Upon graduation, your starting salary will be $180,000 per year and will increase by 2% per year until you retire. You will work for 30 years after graduation and then retire. If you did not pursue a PhD, you would have remained working and earned $60k, $65k, $70k, $75k, $80k and $85k per year respectively, from year 1 to year 6. (This is known as the "opportunity cost"). 2) Metropolis University: You can enroll its famous MBA program and study for two years; the sum of tuition and living expense comes to about $120,000 per year. However, you will also have to obtain an additional certificate at the end of year 2, which costs $4,000. Then you must renew your professional certificate every 2 years at the same $4,000 cost. Upon graduation (after 2 years), your starting salary will be $100,000 and will grow by g=4% per year. Assume you will also work for 34 years after graduation. If you did not pursue the MBA, you would have remained working and earned $60k in year 1 and $65k in year 2. (This is known as the "opportunity cost"). Hint: for this exercise, please include the opportunity cost as part of "cash outflows". A. When will your annual salary in option 2 (MBA) catch up with that of option 1 (PhD)? B. Compute IRR for option 1 and option 2. Make sure to include the cost of the professional certificate in option 2. C. What is the NPV for studying at each of the universities? At the 6% discount rate, which option will you choose? Why? (hint-think about the IRR and NPV and what they mean) D. Plot the NPV of each option as a function of the discount rate. Assume a discount rate range of 1% to 32%, with step sizes of 1%. In what situation do you prefer option 1? Option 2? E. Assume a discount rate of 9%. Due to a shortage of PhD supplies, employers increased the initial salary of PhD (option 1) to $220,000 per year. Solve for the starting salary of MBA (option 2) that would make you indifferent between option 1 and option 2