Consider the following MA(1) – TGARCH-in-Mean model for equity returns. re = 0.5 + 0.2o + 0.3u±-1 + Ult = 0.8 + 0.2u?-1 + 0.7o²1+ 0.4u²-11t-1 Given that you observe ut-1 = 0.5 and O1-1 = 0.4, the optimal forecast of the equity return for time t (i.e. for r; ) is:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following MA(1) – TGARCH-in-Mean model for equity returns.
r; = 0.5 + 0.2o? + 0.3u±-1 + Ut
of = 0.8 + 0.2u? 1+0.7o²1 + 0.4u?-1k-1
Given that you observe u;-1 = 0.5 and OL1 = 0.4, the optimal forecast of the
equity return for time t (i.e. for r¿ ) is:
Select one:
a. 0.8424
O b. 0.9620
O c. 1.0620
O d. None of these.
e. 0.8624
Transcribed Image Text:Consider the following MA(1) – TGARCH-in-Mean model for equity returns. r; = 0.5 + 0.2o? + 0.3u±-1 + Ut of = 0.8 + 0.2u? 1+0.7o²1 + 0.4u?-1k-1 Given that you observe u;-1 = 0.5 and OL1 = 0.4, the optimal forecast of the equity return for time t (i.e. for r¿ ) is: Select one: a. 0.8424 O b. 0.9620 O c. 1.0620 O d. None of these. e. 0.8624
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