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A financial institution just sold a European call option on 100,000 shares of a nondividend paying stock. The stock price is $49, the strike price

A financial institution just sold a European call option on 100,000 shares of a nondividend paying stock. The stock price is $49, the strike price is $50, the riskfree rate is 5% per annum, the stock price volatility is 20% per annum, the time to maturity is 20 weeks (or 20/52=0.3846 years). The financial institution decided to delta hedge the option using the BlackScholes model, with weekly rebalancing. The table below lists the price path of the stock:

Week

Stock price

Delta

Shares purchased

Cost of shares purchased ($000)

Total number of shares held

Cumulative cost including interest ($000)

Interest cost ($000)

0 49

1

47.12

2

44.3

3

50.2

4

46.25

5

49.52

6

50.25

7

53.04

8

56.7

9

53.2

10

49.8

11

47.06

12

45.6

13

43.1

14

44

15

47.59

16

49.95

17

53.26

18

56.73

19

59.71

20

57.25

Complete the table in Excel

What is the cost of writing and hedging this option?

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