Question: Q2C. Suppose that the prime broker changes the margin requirements at t+1 (say next month) for both long and short positions to 30 %. You

Q2C. Suppose that the prime broker changes the margin requirements at t+1 (say next month) for both long and short positions to 30 %. You can assume that nothing else changed (i.e., the returns on long, short and cash positions are all zero). By how much would the positions need to be scaled back? Reproduce the balance sheet at t+1 and compute the margin ratios for long and short positions to ensure that they are at least 30 %.

Assets

t

t+1

Equity and Liabilities

t

t+1

Long security positions

160

Equity supporting long positions

Equity supporting short positions

Free equity

Total Equity (NAV)

100

100

Initial margin for shorts

Cash proceeds from short sale

Margin loan on long positions

Cash in money market account

Short security positions

200

Total Cash

Total Liabilities

Total A

Total E+L

At t+1:

MS= Cash proceeds+Cash margin/(MV(Short equity)) -1 =?

ML= 1-(Margin loan)/(MVLong bought on margin) =?

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