Consider the following set of interest rates on zero-coupon bonds. 1 year: 2 years: 3 years: 4 years:

Consider the following set of interest rates on zero-coupon bonds.

1 year: 6.0% p.a.

2 years: 6.1% p.a.

3 years: 6.2% p.a.

4 years: 6.3% p.a.

(a) How many forward rates are associated with these zero rates?

(b) Calculate the forward rates and discount factors.

(c) What is the relation between the zero rate curve and the forward rate curve?