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Q1: Given the following inputs: Interest rate 10.00 Dividend rate 7.00 Spot Price 27.00 Expiry (months) 7 constructs a portfolio that implements the following option

Q1: Given the following inputs:

Interest rate

10.00

Dividend rate

7.00

Spot Price

27.00

Expiry (months)

7

constructs a portfolio that implements the following option strategy:

1

Strategy

Low Strike

Middle Strike

High Strike

Butter y Spread

KL = 25:00

KM = 34:00

KH = 43:00

Using the Black-Scholes model,

  1. Graph the payo and pro t diagrams, labelling key points.

  1. Find delta and construct the delta hedged portfolio at time t = 0.

  1. Assume time doesnt change. Find the range of stock prices where the delta hedged portfolio shows a pro t, the range where it shows a loss, and the breakeven points.

  1. Kai never rebalances the delta hedge. Do the same as part c) but at the time the option expires.

e) Find 3 stock prices x < y < z where (x) > 0, (y) > 0, (z) > 0.

(Compute each )

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