Answer:
1. Will you be able to meet your goal at this current saving rate?
- yes, you will even have some spare money
annual cost of MBA = 400,000 x 2 years = 800,000
monthly salary = 25,000 and you will deposit 12,500
ordinary annuity, 0.8333%, 59 periods (5 years - 1 month) = 75.80535
the future value of your account = 12,500 x 75.80535 = 947,566.88 which is more than the cost of the MBA
2. What percentage of your salary should you save if you want to have exactly your university expenses amount?
800,000 / 75.80535 = 10,553.34
10,553.34 / 25,000 = 0.422138 = 42.2138%
3. How would your answer to part 1 change if the saving account rate changed to 5%?
- actually you still have more money than what you need even if the interest rate falls to 5%, so you can still take your MBA
monthly salary = 25,000 and you will deposit 12,500
ordinary annuity, 0.41666%, 59 periods (5 years - 1 month) = 66.72805
the future value of your account = 12,500 x 66.72805 = 834,100.63 which is more than the cost of the MBA
4. If you are given an option to invest at the 10% saving rate with monthly compounding or 10.5% semiannual compounding, which would you chose?
- I would choose the 10.5% semiannual compounding because the effective interest rate is higher.
the effective interest rate of investing at 10% compounded monthly = (1 + 10%/12)¹² - 1 = 10.47%
the effective interest rate of investing at 10.5% compounded semiannually = (1 + 10.5%/2)² - 1 = 10.77%
