Please answer and show work to b,c,d, and f. Also, how to you find the weight of the existing asset and the weight of the new project? Is the weight and the IRR% the same?

New Project PROJ1

Given:
Expected IRR of existing portfolio15.0%
Standard deviation of existing portfolio5.0%
Amount invested in existing portfolio A$280,000

Expected IRR of PROJ118.0%
Standard deviation of PROJ1 9.0%

Amount to be invested in PROJ1$194,000

Correlation coefficient r between existing portfolio and PROJ11.0


a. Coefficient of variation of existing portfolio33.3%


Total value of combined portfolio with PROJ1$474,000
b. Weight of existing assets in combined portfolio:

c. Weight of PROJ1 in combined portfolio:

d. Standard deviation of combined portfolio

Standard deviation of existing portfolio5.0%
Standard deviation of combined portfolio0.0%


Expected Return of combined portfolio per equation
e. Coefficient of Variation of combined portfolio:


f. Change in firm's riskiness as a result of adding PROJ1:

Old coefficient of variation without PROJ1
New coefficient of variation with PROJ1
Change
Is the weight of the new project 194,000/494,000? If so, how do you determine the weight of existing and new projects when there the problem doesn't give you amount invested in portfolio, only IRR% and standard deviation%?