1. Confirm that the CEV model formulas satisfy put-call parity.
2. Use Monte Carlo simulation to show that Merton's value for a European option is correct when
3. Confirm that Merton's jump-diffusion model satisfies put-call parity when the jump size is lognormal.
4. Suppose that the volatility of an asset will be 20% from month 0 to month 6, 22% from month 6 to month 12, and 24% from month 12 to month 24. What volatility should be used in Black-Scholes-Merton to value a 2-year option?