Poisson sampling.

Let {X(t)} be a continuous-time Markov chain with stationary distribution \pi . We sample the chain at times given by an independent Poisson process: let N(t) be a Poisson process with rate \alpha , independent of the Markov chain, and define Yn= X(Tn +), the value taken by X immediately after the epoch Tnof the nth arrival of N. Show that {Yn} is a discrete-time Markov chain with the same stationary distribution as X.

4. Next let's assume that the Japanese resident uses his $ 1000 to purchase a computer from a store in the US and then brings it back to Japan. The transaction can be recorded by noting the following (for the US): (a) +$1.000 Financial account, $1.000 Capital account. (b) +$1.000 Financial account, -$1.000 Current account. (0) +$1.000 Current account, -$1.000 Financial account. (d) +$1.000 Financial account, $1.000 Financial account. (e) +$1.000 Capital account, -$1.000 Financial account. 3. A US company pays interest for $30,000 matured on its bonds held by a German investor. The payment is in Dollars. The German investor sells the Dollars to the European Central Bank (official institution). How do you record this transaction in the US Balance of Payments? Current Account $30,000 Financial Account (Non-official) (a) Financial Account (Official) $30,000 Current Account Financial Account (Non-official) (b) $30.000 $30,000 Financial Account (Official) Current Account $30,000 Financial Account (Non-official) (c) Financial Account (Official) $30,000 Current Account Financial Account (Non-official) (d) 530,000 Financial Account (Official) $30,000 3How is managerial accounting different from financial accounting? Multiple Choice O Managerial accounting is used primarily for internal purposes, while financial accounting is used for external purposes Managerial accounting is regulated by the FASB, while financial accounting is regulated by GAAP O Managerial accounting has very specific rules/guidelines that must be followed, financial accounting is based on the needs of the organization O I do not know