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Yields of money market funds. Many people invest in money market funds. These are mutual funds that attempt to maintain a constant price of $1 per share while paying monthly interest. Table 10.3 gives the average annual interest rates (in percent) paid by all taxable money market funds since 1973, the first full year in which such funds were available.
(a) Make a line graph of the interest paid by money market funds for these years.
(b) Interest rates, like many economic variables, show cycles, clear but repeating up-and-down movements. In which years did the interest rate cycle reach temporary peaks?
(c) A plot against time may show a consistent trend underneath cycles. When did interest rates reach their overall peak during these years? Describe the general trend downward since that year.
Modeling the optical trap as a Hookean spring, evaluate the trap stiffness using the Boltzmann distribution. Determine the sphere diameter by comparing the Stokes drag and the tweezer force that balances the drag.
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