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Table 5 Root mean square error (RMSE) and mean convergence count (MCC) of the estimated and benchmark Black–Scholes implied volatility

From: Implied volatility estimation of bitcoin options and the stylized facts of option pricing

DTM

Data set I

Data set II

Newton Raphson

Bisection

Newton Raphson

Bisection

RMSE

MCC

RMSE

MCC

RMSE

MCC

RMSE

MCC

14

0.001

3.25

0.099

28.88

0.001

3.67

0.001

20.25

13

0.001

3.78

0.003

27.44

0.001

3.77

0.001

20.00

12

0.001

3.89

0.001

19.88

0.001

4.00

0.002

20.07

11

0.001

3.56

0.002

19.44

0.001

4.42

0.001

20.32

10

0.001

3.78

0.001

18.89

0.001

4.63

0.003

19.68

9

0.001

4.00

0.001

18.89

0.001

4.74

0.012

23.89

8

0.001

3.91

0.189

27.27

0.001

5.00

0.029

23.84

7

0.001

4.31

0.001

19.88

0.001

5.21

0.079

22.32

6

0.001

4.38

0.001

19.88

0.001

5.09

0.001

20.12

5

0.001

4.44

0.002

24.00

0.002

5.09

0.159

21.68

4

0.523

4.67

0.639

39.13

0.216

5.15

0.414

26.00

3

0.540

10.31

0.578

24.00

0.001

5.24

0.099

21.79

2

0.446

4.56

1.176

34.25

0.001

5.68

0.099

21.56