Use the following information to calculate Queen Saving's low and high estimate for its liquidity position:

Queen Savings is attempting to determine its liquidity requirements for the month of September. September is usually a month of heavy loan demand due to the beginning of the school term and the buildup of business inventories of goods and services for the fall season and winter. This bank has analyzed its deposit accounts thoroughly and classified them as shown in the table below.

Source $($$$\text{'}$s in millions$)$

Checking Deposits

Savings Deposits

Timing Deposits Totals

Hot money funds $$10$ $$5$ $$1,200$ $$1,215$

Vulnerable funds

$$65$ $$152$ $$740$ $$957$

Stable $($core$)$ funds $$85$ $$450$ $$172$ $$707$

Totals $$160$ $$607$ $$2,112$ $$2,879$

Management has elected to hold a $85$ percent reserve in liquid assets or borrowing capacity for each dollar of hot money deposits, a $25$ percent reserve behind vulnerable deposits, and a $5$ percent reserve for its holdings of core funds. Assume time and savings deposit accounts carry a zero percent legal reserve requirement and all checkable deposits carry a $3$ percent legal reserve requirement. Queen currently has total loans outstanding of $$2,500,$ which two weeks ago were as high as $$2,550.$ Its loans indicate annual growth rate over the past three years has been about $6$ percent $($Hint $-$ the $6\%$ growth is stated in an annual rate and not a monthly rate$).$

Question $6$: Based on the information from table $1$ answer the following:

The bank wishes to keep its Tier $1$ capital ratio at $6\%$ of risk adjusted assets. It will sell a portion of its High$-$Yield Corporate Bonds and invest the proceeds in U$.$S$.$ government bonds. In terms of dollars, how much of the Corporate Bonds should the bank sell and then reinvest in U$.$S$.$ government bonds? Show your answer to the nearest whole dollar in the xx format, $$86$ enter as $86.$

Hint $**$This solution is a little tricky as you cannot simply sell High$-$Yield corporate bonds and buy the same amount of US government bonds as the percent that is needed to reserve for High$-$Yield corporate bonds is different from the percent needed to reserve for US government bonds. As you are solving keep these differences in reserve percentages in mind.