A manager is holding a $1 million bond portfolio with a modified duration of eight years. She would like to hedge the risk of the portfolio by short-selling Treasury bonds. The modified duration of T-bonds is 10 years. How many dollars' worth of T-bonds should she sell to minimize the risk of her position?

Jamie lee is reviewing her finances one month later. she has provided the actual amounts paid below. use the cash budget table below to her identify the variances in her budget. each answer must have a value for the assignment to be complete. enter "0" for any unused categories. actual amounts income: monthly expenses: gross monthly salary $2,315 rent obligation $260 net monthly salary $1,740 utilities/electricity $130 savings allocation: utilities/water $10 regular savings $130 utilities/cable tv $155 rainy-day savings $20 food $160 entertainment: gas/maintenance $205 cake decorating class $90 credit card payment $25 movies with friends $50 car insurance $75 clothing $145 budgeted amounts assets: monthly expenses: checking account $1,850 rent obligation $225 emergency fund savings account $4,300 utilities/electricity $75 car $5,200 utilities/water $35 computer & ipad $1,100 utilities/cable tv $120 liabilities: food $115 student loan $6,600 gas/maintenance $95 credit card balance $1,000 credit card payment $45 income: car insurance $45 gross monthly salary $2,155 clothing $45 net monthly salary $1,580 entertainment: savings allocation: cake decorating class $90 regular savings $130 movies with friends $50 rainy day savings $20