Assume that transaction costs are zero and there is no credit risk in any transaction. Consider the following securities

Security (1) is a 1-year zero coupon bond with face value $100. Its price at time zero is $90.

Security (2) is a 2-year zero coupon bond with face value $100. Its price at time zero is $75.

Security (3) is a 3-year zero coupon bond with face value $100. Its price at time zero is $65.

Security (4) is a 3-year 2% annual-pay coupon-paying bond with face value $1000.

What must be the price of security (4)?