$(1$ pt$)$ Bond B $1$ has a face value $F=1,000,$ which is payable in exactly $18$ months from today. Its price today is $981\mathrm{.}54.$ Bond B $2$ has a face value $F=500,$ which is payable in exactly $15$ months from today. Determine the price of bond B$2$ today to the nearest penny if both bonds have the same rate of interest over their respective maturities.