Suppose that the risk-free rate is 6% p.a. compounded continuously. The current price (So) of a...
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Suppose that the risk-free rate is 6% p.a. compounded continuously. The current price (So) of a non-dividend paying stock is 830. We model the evolution of the stock prices using a 4-step Binomial tree approach. In every three-month period, u 1.1618 and d = 0.8607. This is illustrated in the figure below: 54 66 47.05 40.50 40 50 34.86 34.86 30.00 30:00 25.82 25 82 22 22 0 19.13 16.46 Node Time 00000 0,2500 05000 07500 1.0000 A double-barrier knock-in European derivative with one year to maturity is written on the stock. The lower barrier (H) 20 and the upper barrier (H) 35. The terminal payoff of this exotic derivative is specified a where Sr terminal share price. Terminal Payoff max (S15.7) Required: Use the risk-neutral Binomial approach to calculate the current value of the exotic derivative. Use cout inuous compounding for all present value calculations. Show all working. Suppose that the risk-free rate is 6% p.a. compounded continuously. The current price (So) of a non-dividend paying stock is 830. We model the evolution of the stock prices using a 4-step Binomial tree approach. In every three-month period, u 1.1618 and d = 0.8607. This is illustrated in the figure below: 54 66 47.05 40.50 40 50 34.86 34.86 30.00 30:00 25.82 25 82 22 22 0 19.13 16.46 Node Time 00000 0,2500 05000 07500 1.0000 A double-barrier knock-in European derivative with one year to maturity is written on the stock. The lower barrier (H) 20 and the upper barrier (H) 35. The terminal payoff of this exotic derivative is specified a where Sr terminal share price. Terminal Payoff max (S15.7) Required: Use the risk-neutral Binomial approach to calculate the current value of the exotic derivative. Use cout inuous compounding for all present value calculations. Show all working.
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Related Book For
An Introduction to the Mathematics of financial Derivatives
ISBN: 978-0123846822
2nd Edition
Authors: Salih N. Neftci
Posted Date:
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