An option trader has a naked option position (recall the fou…

An option trader has a naked option position (recall the four naked option positions are long call, long put, short call, or short put) which has the following greeks: Γ = 0.010 ρ = -1.250 |Δ| (the absolute value of delta) = 0.80 Which position do they have? Hint, short option positions flip the sign of the greeks.

You are an options trader who is bullish on a dramatic jump…

You are an options trader who is bullish on a dramatic jump (up or down) in the price of the underlying asset. However, you are concerned that the sensitivity of your option’s price to the jump of the underlying’s price will decay quickly. Therefore, you decide to calculate a new option greek, which you name “color,” which measures how the sensitivity changes over time. How would you find a formula for color?

Suppose an investor wants to replicate a call option on the…

Suppose an investor wants to replicate a call option on the following stock and that the assumptions of the BSOPM are correct.The underlying stock’s price is $92.75 and the annualized volatility of its log-returns is 53%. The option to be replicated has a strike price of $83.50 and a twelve-month maturity. The risk-free rate is currently 5.25% per year, continuously compounded.How much cash would the investor need to save or borrow to replicate the call? (Enter a positive number for the amount saved and a negative number for the amount borrowed. Round your answer to the nearest $0.0001.