I am having trouble calculating these practice homework problems correctly. Any help would be greatly appriciated! Thank you

1) Jeremy would like to retire in 25 years. He would like his retirement income to be $250,000, and this figure should grow at the same rate as inflation, expected to be 2 percent annually. He expects to live 30 years after he retires, and plans to leave $3 million to WSU after he dies.

Jeremy currently has $1,000,000 in his retirement fund. The fund is expected to earn 6 percent annually. Assuming that Jeremy increases his annual retirement savings by 2 percent per year (the inflation rate), how much must he save this year in order to have enough funds for his retirement goals?

HINTS: Both Jeremys retirement income AND his annual retirement savings are growing annuities (each at the 2 percent inflation rate). Also, you may assume that all payments are made or received at the end of each year, so that they are ordinary growing annuities.

2) Suppose that the yield on 1-year Treasury securities is 2.25%, 2-year securities yield 2.10%, 3year securities yield 2.05%, and 4-year securities yield 1.95%. There is no maturity risk premium.

a) Does this situation describe an upward sloping, downward sloping, or flat yield curve?

b) Based on the pure expectations theory of the yield curve, what do markets believe the yield on a 1-year Treasury security will be one year from now?

c) Based on the pure expectations theory of the yield curve, what do markets believe the yield on a 2-year Treasury security will be 2 years from now?

3) Can the nominal interest rate available to an investor be significantly negative? (Hint: consider the interest rate earned from saving cash under the mattress.) Can the real interest rate be negative? Explain.