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A balanced portfolio invests in global equities and bonds. The following valuation data is provided: holding asset class valuation as of end of month 1

A balanced portfolio invests in global equities and bonds. The following valuation data is provided:

holding

asset class

valuation as of end of month 1

valuation as of end of month 2

A

Equity

1000

1280

B

Equity

2000

1930

C

Bonds

1500

1520

D

Bonds

1800

1840

Cash

Cash

300

145

Note that the increase in valuation of A is due to 1) market performance and 2) a purchase with a transaction value of 200 already including transaction fees.

The cash balance at the end of month 2 is the result of the cash balance at the beginning of the month, a cash inflow of 50 (new subscriptions), a management fee of 5, the additional purchase of A (see above) and interest income.

Assume that all transactions occur at the end of the month, i.e., shortly before the end of month 2. The portfolio is benchmarked against a 30/70 (equity/bonds) benchmark with equities earning a return

of 50 bps and bonds a return of 1.6%.

a) Determine the total portfolio valuations at t=1 and t=2.

b) Show that the portfolio yields a performance of 1 %.

c) Determine the transaction value for the cash account how much is the interest income?.

d) For each holding A, B, C, D, and cash calculate return, weight, and contribution.

e) Show that performance contributions sum up to the portfolio performance of 1%.

f) Calculate the portfolio weights, returns, and contributions for the asset classes equity, bonds, and cash.

g) Calculate the benchmark return and the (arithmetic) outperformance.

h) Perform an attribution analysis based on Brinson/Fachler (add interaction to selection) showing attribution effects (allocation + selection) for the asset classes equity, bonds, and cash.

i) Comment your attiribution results.

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