Two tuning forks of frequency 480 Hz and 486 Hz are struck simultaneously. What is the beat frequency (units: Hz) resulting from the two sound waves? NOTE: Watch correct use of rounding and significant figures Enter numerical answer in proper decimal format, not scientific notation Do not enter units with the answer  

The price of ABC Co’s stock is currently $79.50 and the annualized volatility of its log-returns is 57%. The stock does not pay dividends. The risk-free rate is 4.00% per year, continuously compounded.If the price of ABC’s stock increases by $1, approximately how much will the BSOPM price of the three-month, 87.50-strike call change?  Only use delta in the approximation.

There is a container with a rectangular window, the window dimensions are 0.101 m by 0.209 m. The container is filled with compressed gas which exerts a total force of 9.41 N perpendicular to the window surface.  Calculate the pressure (units: Pa) that the compressed gas exerts on the inside of the window.  NOTE: Watch correct use of rounding and significant figures Enter numerical answer in proper decimal format, not scientific notation Do not enter units with the answer

Consider a pipe that flows through the ground floor and up to the second floor of house. 4 °C fresh water is pumped at a speed of 0.50 m/s through a 5.0 cm diameter pipe at the ground floor, under a pressure of 2.5 atm. What will be the pressure in a 4.0 cm diameter pipe at the second floor 6.0 m above. 

An object is attached to the end of an ideal spring which has a spring constant of 105 N/m and is extended to 2.8 cm from it equilibrium position. What is the magnitude of the force (units: N) exerted by the spring? NOTE: Watch correct use of rounding and significant figures Enter numerical answer in proper decimal format, not scientific notation Do not enter units with the answer

A simple pendulum consists of a small 50.0 g ball hanging on a 0.800 m long thread of negligible mass. The ball is pulled a small angle to one side and released. Find the period (units: Hz) of oscillation for this simple pendulum. NOTE: Watch correct use of rounding and significant figures Enter numerical answer in proper decimal format, not scientific notation Do not enter units with the answer

An option trader creates a delta-hedged covered call (or “buy-write”) in order to short 400 call options on a stock with a spot price of $200. The stock’s log-return has a volatility of 40 percent per year. The trader chooses to short the OOM calls with a strike price of $220 and five days until expiration (assuming 252 trading days in a year). The appropriate risk-free rate is 4 percent per year. If the price of the underlying were to immediately fall by $20, approximately what gain or loss would the trader experience? Use delta and gamma to calculate the approximation. Enter your answer as a number of dollars, rounded to the nearest $0.0001. Enter gains as positive amounts and losses as negative amounts.

What is the risk-neutral probability the following put option will finish in-the-money? spot price = $100 volatility = 40 percent strike price = $100 Remaining Maturity = 1 month Risk-Free Interest Rate = 4.88 percent

The price of ABC Co’s stock is currently $100.75 and the annualized volatility of its log-returns is 60%. The stock does not pay dividends. The risk-free rate is 4.25% per year, continuously compounded.If the price of ABC’s stock increases by $1, approximately how much will the BSOPM price of the six-month, 111.75-strike call change?  Only use delta in the approximation.

Which of the following true about the BSOPM vega?