Exercise 1. Suppose there are only two possible states of the world that could occur with equal probability. There are two assets (both risky). In the first state, asset 1 pays out $5 and asset 2 pays out $2. In the second state, asset 1 pays out $2 and asset 2 pays out $4. The investor is an expected utility maximizer with a log utility function. Solve for the optimal allocation of wealth to each asset.

1. what is the lowest balance during this period? 2. lily just received her bank statement below. a. what does the bank think her ending balance is? b. how much more does the bank think lily has? c. what transactions are missing? 3. what is the danger of not balancing your bank account? lily’s bank statement deposits: 2/25 $35 2/26 $20 3/1 $256.32 checks: 2/24 ck #301 $25 2/26 #302 $150 debit card: 2/24 american eagle $75.48 2/25 chick fa la $4.67 2/27 mcdonalds $3.56 2/28 chevron $34.76 withdrawal: 2/27 $40 beginning balance $423.34 deposits $311.32 total debits $333.47 ending balance $401.19