А В C Unlevered Firm Levered Firm 10,000 3,200 6,800 2,312 4,488 3,200 1 2 EBIT 10,000 3 Interest 4 Taxable Income 10,000 3,400 6,600 5 Tax (tax rate: 34%) 6 Net Income 7 CFFA 0

Investors can allocate their wealth between (i) the risk-free asset, and (ii) one of the three risky assets as shown below. For example, 20% in risk-free and 80% in A, or 30% in risk-free and 70% in B, or 40% in risk- free and 60% in C, and so on. Risky Asset E(r) A B Stdev 20% 25% 30% 35% 40% 45% The risk-free rate is 5%. If investors target an expected annual return of 30%, what is the lowest stdev that can be achieved among all the possible allocations? Show your answer in % and round to two decimals (e.g. xx.xx%).

The total in rate sensitive assets for a financial institution is $120 million and the total in rate sensitive liabilities is $95 million. What is the cumulative pricing gap (CGAP) and what is the interest rate sensitivity gap ratio if total assets equals $195 million?  What would the projected change to net income be if interest rates rose by 2% on both assets and liabilities? What would the projected change to net income be if interest rates declined by 2% on both assets and liabilities? What would the projected change to net income be if interest rates rose by 1.8% on assets and 1.5% on liabilities? What would the projected change to net income be if interest rates declined by 1.8% on assets and 1.5% on liabilities?

You are going to allocate capital into safe and risky assets. The risky asset will earn 200% return if the economy is good (with a 55% chance). If, otherwise, it will lose 60% of the investment principal. States of Rate of Prob. nature Return According to the Kelly's criterion, how much do you have to allocate for the risky asset to maximize final wealth? (The safe asset earns zero return.) → (1) 35%; (2) 47%; (3) 59%; (4) 65%; 1 Good 55% 200% your |(5) 69%; (6) 75%; (7) 85%; (8) 97%; (9) 102%; (10) 114%; (11) 115%; Bad 45% -60%

If you solve for what fraction of your wealth (y) you should invest in the risky asset and you get the answer of 1.4, what does this mean? Assume you can borrow at the risk free rate. a) That you should invest 100% of your wealth in the risky asset b) That you should invest 140% of your wealth in the risky asset by borrowing at the risk free rate c) That you should short 140% of the risky asset and invest in the risk free asset d) That you should invest somewhere between 100% and 140% of your wealth in the risky asset by borrowing at the risk free rate.