A zero$-$coupon bond with a market$-$beta of $0\mathrm{.}4$ promises to

pay $$1,000$ in the first year. However, it may default and pay

nothing with probability $0\mathrm{.}04.$ If the risk$-$free rate is $2\mathrm{.}9\%,$ the

equity premium is $5\mathrm{.}6\%,$ and the CAPM is correct, what

would be the bond price today?