Question

(e) The Taylor series for f(x):=xsin(x) about x=0 can be written as an infinite series f(x)∼a0+a1x+a2x^2+a3x^3+dots Compute a3. A. -(1)/(6) B. 0 C. (1)/(2) D. (1)/(6) E. None of these (f) A trader owns a portfolio of 10000 identical exotic options on a zero coupon bond. The value of each option is given by g(y), where y is the continuously compounded yield of the bond, and the bond's yield is currently 12.52%. The trader estimates the first and second derivatives of the function g as g'(0.1252)=2.67 and g''(0.1252)=-13.67. Estimate the gain (loss if negative) on the portfolio of 10000 options if the yield increases by 50 basis points (i.e. 0.5%). Round your answer to the nearest cent. A. -133.50 B. 131.79 C. 133.50 D. 135.21 E. None of these

          (e) The Taylor series for f(x):=xsin(x) about x=0 can be written as an infinite series
f(x)∼a0+a1x+a2x^2+a3x^3+dots
Compute a3.
A. -(1)/(6)
B. 0
C. (1)/(2)
D. (1)/(6)
E. None of these

(f) A trader owns a portfolio of 10000 identical exotic options on a zero coupon bond. The value of each option is given by g(y), where y is the continuously compounded yield of the bond, and the bond's yield is currently 12.52%. The trader estimates the first and second derivatives of the function g as g'(0.1252)=2.67 and g''(0.1252)=-13.67. Estimate the gain (loss if negative) on the portfolio of 10000 options if the yield increases by 50 basis points (i.e. 0.5%). Round your answer to the nearest cent.
A. -133.50
B. 131.79
C. 133.50
D. 135.21
E. None of these

e the taylor series for fxxsinx about x0 can be written as an infinite series fxa0a1xa2x2a3x3dots compute a3 a 16 b 0 c 12 d 16 e none of these f a trader owns a portfolio of 10000 identical 80375

Added by Leslie H.

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