After $20$ trading days of dynamically delta$-$hedging, you have the following positions on the option expiration day:

You short $200$ call option contracts. Each contract is on $100$ shares of the underlying stock. Strike price is $$50.$

You hold $19,981$ shares of the underlying stock. Stock price is $$52\mathrm{.}11$

You have accumulated $$1,015,313$ worth of debt as of the previous trading day. Interest rate is $0\mathrm{.}015$ per year $($there are $252$ trading days in a year$).$

You have $$17,469$ in your cash account $($that$$s the premium you received from writing the calls originally$)$

Given that this is the expiration day, you are liquidating all your positions. Calculate the value of your gain$/$loss just on the option contracts, given the options are expiring in the money today. This would be your gain$/$loss if you didn$$t hedge.

a$.$

$17,469$

b$.$

$-17,469$

c$.$

$-24,731$

d$.$

$-42,400$