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Annual volatility: σ = 20.0%

Annual risk-free rate = 6.0%

Exercise price (X) = 24

Time to maturity = 3 months

Stock price, S

$21.00

$22.00

$23.00

$24.00

$24.75

$25.00

Value of call, C

$0.13

$0.32

$0.64

$1.14

$1.62

$1.80

% Decrease in S

−16.00%

−12.00%

−8.00%

−4.00%

−1.00%

% Decrease in C

−92.83%

−82.48%

−64.15%

−36.56%

−9.91%

Delta (ΔC% / ΔS%)

5.80

6.87

8.02

9.14

9.91

Alton Richard is a risk manager for a financial services conglomerate. Richard generally calculates the VAR of the company’s equity portfolio on a daily basis, but has been asked to estimate the VAR on a weekly basis assuming five trading days in a week. If the equity portfolio has a daily standard deviation of returns equal to 0.65% and the portfolio value is $2 million, the weekly dollar VAR (5%) is closest to:


A. $29,100.
B. $21,450.
C. $107,250.
D. $47,964.
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