You are faced with the following spot rates: Maturity (years) Spot rate 1 3.0% 2 4.5% 3 6.0% Suppose you want to create a synthetic forward arrangement from zero-coupon bonds, where you borrow $1,000 in 1 year and pay it back at the end of year 2 at an appropriate interest rate derived from this pure yield curve. What would be your position and size of investment in shorter term zero-coupon bonds; and what would be your position and size of investment in longer term zero-coupon bonds? (3 marks) Enter your answer to 4 decimal places eg if your answer is 6.54% enter as 0.0654