A company issues a fixed$-$interest security paying coupons at a rate of $6\%$ p$.$a$.$

payable half$-$yearly in arrears.

The security is to be redeemed at $103\%$ on any coupon payment date $15$ years after issue.

An investor purchases the security on the date of issue at a price which gives a yield to redemption of $5\%$ p$.$a$.$ effective.

Calculate the price per $100$ nominal paid by the investor.