Christopher's house is insured for $$250,000,$ and he has been paying the premium over the last $10$ years. Chris's home is actually worth $$150,000$ according to an appraiser, and it was wiped out in Hurricane Sandy. How much can he recover from his insurance company for the loss?

a$.$ $$150,000$

b$.$ $$250,000$

c$.$ $$100,000$

d$.$ $$400,000$