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4

Let $A_t$ be the amount of money at the beginning of year $t$ and let $r$ be the interest rate. Assume that each year, we invest an additional amount of $Q$ Then we can recursively write this as: $$A_t = (1+r)A_{t-1} + Q.$$ So the amount at time $t$, $A_t$ is the amount last year $A_t$ plus a percentage $r$ of $A_t$ plus $Q$. We would like to find a closed ...

2

Could the Feds objectives be adjusted to decrease or at least not increase wealth inequality? Trivially, answer is yes. Congress could just give Fed a mandate for lowering inequality, the same way as congress could pass a law giving Fed mandate to bring world peace or solve world hunger or conduct space exploration. US is sovereign state and Fed is ...

1

Let $a =$ Principle Let $b = 1$ + interest rate Let $c_{1} =$ future value after year $1$ Let $d =$ additional investment $c_{1} = ab$ $c_{2} = (c_{1} + d)b$ $c_{3} = (c_{2} + d)b$ $c_{4} = (c_{3} + d)b$ $c_{5} = (c_{4} + d)b$ simplified form for $c_{2}$ $c_{2} = (c_{1} + d)b= c_{1}b + db$ simplified form for $c_{3}$ $c_{3} = (c_{2} + d)b = (c_{1}b + db + d)... 1 Because of exchange rate and uncovered interest rate parity (UIP). By the UIP the following relationship should hold between nominal interest rates and exchange rates: $$(1+i_{t}^) = \frac{E_t(S_{t+1})}{S_t}(1+i_{t}^€)$$ In short, the ratio of expected future nominal exchange rate ($E_t(S_{t+1})$) and current nominal exchange rate ($S_t\$) should make the ...

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