You are given the following information about various annuities available in the market. All the annuities pay $100 at the end of each year over the period of the investment. It is also given that the spot rate of interest for 1 year maturity is 3%.

Period of investment (in years)	Price (in $)
2	190.89
3	281.96
4	369.53

Calculate the forward rates of interest for t = 2, 3 and 4. You want to accumulate $10,000 after four years by putting a single payment into a bank account. Based on the information above, calculate the deposit required.