Question
You have $270,000 to invest in Facebook which is currently trading at $270 per share.You believe FB will return 15% over the next year with
You have $270,000 to invest in Facebook which is currently trading at $270 per share.You believe FB will return 15% over the next year with a standard deviation around expected return equal to FB's one year 50 Delta implied volatility.Below is additional market information on FB options and swaps:
FB Dividend Yield = 0
FB 3 Month 50 Delta Volatility = 37
FB 9 Month 50 Delta Volatility = 38
One Year LIBOR = 0.4%
25 Delta Put/Call Spread = 3 points
Dealer Financing Rate for Long Stock = LIBOR plus 30bps
Dealer Rebate Rate on Short Stock = LIBOR minus 15bps
Dealer Desired Profit on Swap = 30 bps/year
Return on Cash = One Year LIBOR
Expected Liquidity Shortfall = 5 bps for Option, 0 for Swap
a)Please price a one year FB option struck at $270
b)What is the expected amount of cash you will have at the end of one year if you enter into a one year Equity Swap on 1,000 shares of FB ($270,000 notional value)
c) Please compare the expected amount of cash of the Equity Swap in 3b with buying FB $270 Calls assuming you only buy 10 Call Options Contracts (1,000 share equivalents).
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