$(16$ pts$.)3.$ Your portfolio has four holdings with the following information:

Bond $1$ SHORT: Price $$75$ Duration $5\mathrm{.}4$ YTM $=5\mathrm{.}70\%$

Bond $2$ LONG: Price $$100$ Duration $6\mathrm{.}4$ YTM $=6\mathrm{.}80\%$

Bond $3$ SHORT: Price $$120$ Duration $15$ YTM $=9\mathrm{.}10\%$

Cash LONG $$30$ Duration $0$ YTM$=0\mathrm{.}20\%$

Calculate the duration of the portfolio and round to two decimal places. Note: You must first fill in the duration for cash.