#$3$

What discount rate would make you indifferent between receiving $$3,349\mathrm{.}00$ per year forever and $$5,300\mathrm{.}00$ per year for $24\mathrm{.}00$ years? Assume the first payment of both cash flow streams occurs in one year.

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Answer format: Percentage Round to: $2$ decimal places $($Example: $9\mathrm{.}24\%,\%$ sign required. Will accept decimal format rounded to $4$ decimal places $($ex: $0\mathrm{.}0924))$

#$4$ Today is Derek's $25$th birthday. Derek has been advised that he needs to have $$3,127,409\mathrm{.}00$ in his retirement account the day he turns $65.$ He estimates his retirement account will pay $5\mathrm{.}00\%$ interest. Assume he chooses not to deposit anything today. Rather he chooses to make $,$annual deposits into the retirement account starting on his $27\mathrm{.}00$th birthday and ending on his $65$th birthday. How much must those deposits be$?$

Answer format: Currency: Round to: $2$ decimal places.

#$5$ Suppose you deposit $$2,254\mathrm{.}00$ into an account today. In $13\mathrm{.}00$ years the account is worth $$3,876\mathrm{.}00.$ The account earned $q,\%$ per year.

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Answer format: Percentage Round to: $2$ decimal places $($Example: $9\mathrm{.}24\%,\%$ sign required. Will accept decimal format rounded to $4$ decimal places $($ex: $0\mathrm{.}0924))$