Auto accidents for an individual driver can result in annual losses of $0,1000,5000,10,000,$ or $15,000$ with probabilities $0\mathrm{.}75,0\mathrm{.}12,0\mathrm{.}08,0\mathrm{.}04,$ and $0\mathrm{.}01,$ respectively. An auto insurer offers a policy that insures individual drivers against such losses, subject to an annual deductible of $500.$

The insurer charges an annual premium that exceeds its expected annual payment by $75$ to provide for insurer expenses and profit.

Calculate the annual premium that the insurer charges.

$870$

$945$

$1020$

$1070$

$1145$

$26$