What is the Net Present Value (NPV) and internal rate of return (IRR) of spending $10,000 today on graduate school when you earn $40,000/year today and will earn $42,000/year for the next 35 years after grad school.   Assuming you could invest this money elsewhere and earn 10%?

You are going to retire in 40 years and currently have $100,000. What average annual return would you have to earn on your investment to have $1 million by the time you retire?

Suppose you plan to have $90,000 in 15 years from now and you can invest your savings at 2% compounded continuously. Assuming you can save the same amount of money each year, how much do you need to save on a yearly basis in order to achieve your goal? Hint: Treat your savings as an income stream. Yearly savings (exact value) = Yearly savings (rounded to the nearest cent) = Submit Answer dollars dollars

Based on the framework in the previous two problems, you have found that you need to have a total of $1,529,499 in savings at the time you retire, in 40 years. You currently only have $28,118 saved up in your retirement accounts. If you anticipate that your 80/20 investment portfolio will return an average of 8.31% per year, how much extra must you save every year to reach your goal? Assume that you'll be saving the extra amount by the end of each year.

You plan to invest $9.9 into an investment that you hope will earn a return of 12.01%.  You will withdraw your money in 5 years.  How much will you withdraw?   Answer:

You are trying to decide how much to save for retirement. Assume you plan to save $4,000 per year with the first investment made one year from now. You think you can earn 10.5% per year on your investments and you plan to retire in 36 years, immediately after making your last $4,000 investment. a. How much will you have in your retirement account on the day you retire? b. If, instead of investing $4,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be? c. If you hope to live for 28 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 28th withdrawal (assume your savings will continue to earn 10.5% in retirement)? d. If, instead, you decide to withdraw $270,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it…

You have recently inherited a sum of $100,000. The current market rate is 5% p.a. and you are thinking of investing the $100,000 in a way that you will be able receive $6,000 every year indefinitely. Will you be successful?

Suppose you have $10,000 and  a choice of two alternatives: A) put the money in a savings account that pays 4% per year, and B) buy a stock that has a 50% chance to gain 15% in value after 1 year, and a 50% chance to lose 5%. What will be the expected return for either alternative, and which one would you choose? Why?