A fixed$-$interest security pays coupons of $8\%$ pa half$-$yearly in arrears

and is redeemable at $110\%.$ Two months before the next coupon is

due, an investor negotiates a forward contract to buy $60,000$

nominal of the security in six$-$months time. The current price of the

security is $80\mathrm{.}40$ per $100$ nominal and the risk$-$free force of

interest is $5\%$ pa$.($i$)$ Calculate the forward price. $($ii$)$ Also calculate

the forward price of a contract to purchase $50,000$ nominal of the

security in ten months time.