Using the same information for the stock dynamics, find the…
Using the same information for the stock dynamics, find the price of a derivative described below using daily simulations and 20,000 trials. The derivative pays Max(S1T=0.25, S2T=0.5, S1T=0.75, S2T=1) at the 1 year point. Note that S1T=0.25 is the value of the stock S1 at time T =0.25 etc. Assume each month has 30 days. You will need to use the risk free rate for simulating the stocks. Choose the closest answer choice below. Make sure to run the simulations with many different seeds to be certain.
Read DetailsStocks S1 and S2 follow a coupled SDE as shown below. S1 is…
Stocks S1 and S2 follow a coupled SDE as shown below. S1 is at $200 and S2 is at $210 currently. (dS1)/S1=0.04dt+0.10 dB_1+0.3dB_2 (dS2)/S2=0.05dt+0.20 dB_1+0.4dB_2 The correlation between the two uncertainties is 0.2. Risk free rate is 0.03. Estimate the probability of the following event occuring within 1 year: S1 crosses above S2 and then falls back below S2 at any point afterwards. Run simulations using the expected rates on 0.04 and 0.05, not the risk free rate. Each month has 30 days. Use daily simulations and 20,000 trials. Choose the closest answer choice below. Make sure to run the simulations with many different seeds to be certain.
Read DetailsAn investor who is delta-hedging is long 1,000 units of the…
An investor who is delta-hedging is long 1,000 units of the asset priced at $50 and short 2,000 calls priced at $8 on the asset, based on the delta. Suppose the asset moves up $1 and the option moves up by 0.48, determine the gain or loss on the portfolio?
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