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29. Suppose you can invest in only the market index fund and 12-month Treasury bill because of some regulation. E[r]=11%, SD[r]=20%, and rf=3% per year. You are a portfolio manager at Fidelity. Suppose, based on your price of risk and the portfolio theory, you invest today $0.4m in the market index fund and $0.6m in the 12-month treasury bill whose maturity is one year from now. One year later, the annual net return of the market index fund turns out 30%. If E[r], SD[r], rf, and your price of risk remain the same, how should you rebalance your portfolio? That is, do you have to sell or buy the market index fund after you observe its 30% return per year, based on the portfolio theory? Express your answer as follows. If you will sell $0.24m of the market index fund and move that money to the 12-month Treasury bill, type -240000. If you will sell $0.34m of 12-month Treasury bill and buy the market index fund with that money, type 340000.

31. Compute the beta of the portfolio that includes 40 assets in the table below The table includes the beta and the weight of 60 assets. Round your answer to the nearest thousandth. For example, type 1.432.

Asset	Beta	Weight
A1	0.94	0.0401
A2	1.20	0.0119
A3	1.88	0.036
A4	1.78	0.0014
A5	0.22	0.0005
A6	0.69	0.0243
A7	1.39	0.0361
A8	1.74	0.0284
A9	0.33	0.0309
A10	-0.14	0.036
A11	0.01	0.0144
A12	0.81	-0.0064
A13	0.89	0.0221
A14	0.64	0.036
A15	1.43	-0.0116
A16	1.79	0.0468
A17	1.40	0.0337
A18	0.53	0.0156
A19	1.36	0.0043
A20	1.16	0.0436
A21	1.96	0.0227
A22	0.06	-0.0009
A23	1.49	0.0468
A24	1.72	0.0384
A25	1.02	0.0142
A26	0.42	-0.0051
A27	1.25	0.0256
A28	1.95	0.0373
A29	0.65	0.0221
A30	1.29	0.0394
A31	-0.22	-0.0115
A32	0.08	0.0345
A33	1.68	0.0106
A34	1.96	0.0214
A35	1.10	0.0325
A36	0.56	0.0072
A37	0.32	-0.0095
A38	0.57	0.0215
A39	-0.24	0.0348
A40	0.29	0.0056

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