Question - Time Value of Money
a. What is the real future value of $10,000 which will sit in a savings account for 20 years, earning 4% interest compounded yearly during a period of 4% annual inflation?
b. What is the present value of an annuity which makes its first payment in 3 years, makes a total of 10 payments of $10,000 each year with an overall discount rate of 7%?
c. What is the PV of a perpetuity which pays $200 one year from today and then each year thereafter? Assume a discount rate of 8%.
d. What is the nominal future value of $10,000 one year from today if it can be invested in a portfolio that expects to earn, in real terms, 4% per year with inflation of 3% per year?