Hello please i need your help resolving this question, it is due today, thanks in advance !

Problem 2 : Consider a 1-factor model with factor y. For today's value of y=5%, your portfolio's value is V(0.05)=$1,000,000. However, a small increase in y to y=5.02% will lead to the $5,000 drop in the portfolio's value to V(0.0502)=$995,000, while at y=4.98% your portfolio's value will be V(0.0498)= $1,007,000.

duration potfolio=30

convexity portfolio= 50 000

a) find DV01

b) Using the first-order Taylor approximation, estimate by how much the value of your portfolio will change when the factor increases to 5.1%. Round your answer to the nearest dollar.

c) Using the second-order Taylor approximation, estimate by how much the value of your portfolio will change when the factor increases to 5.1%. Round your answer to the nearest dollar