Problem $01\mathrm{.}048-$ MARR and opportunity cost

Last month, you lent a work colleague $$5000$ to cover some overdue bills. He agreed to pay you in $1$ month with interest at $2\%$ for the month, thus owing you $$5100.$ Today, when the repayment is due, he asked you to extend the loan for another month and he would pay you the $$5100$ next month. In the meantime, you have had the offer to invest as much as you wish in an oil$-$well venture that is expected to pay $30\mathrm{.}00\%$ per year and a hot new IT stock that is estimated to return $48\mathrm{.}00\%$ the first year. If you let your colleague have another month, what is the opportunity cost of your decision? $($Note: Express your answer in dollar and percentage amounts.$)$

The opportunity cost is $ $$

The opportunity cost in percentage is $\%.$

Problem $01\mathrm{.}054-$ Purchasing a new electric vehicle

An engineer, planning to purchase a new electric vehicle when she retires in $4$ years, wanted to purchase a zero$-$coupon bond that will yield its face value of $$61,000$ when it is redeemed in $4$ years. Since zero$-$coupon bonds do not pay interest during the years to maturity, they sell at a large discount to their face value. The engineer decided to purchase the bond only if it will make a rate of return of at least $6\mathrm{.}00\%$ per year.

Problem $01\mathrm{.}054.$a $-$ Maximum amount

Determine the maximum amount she should pay for the bond. $($Round the final answer to the nearest whole number.$)$

The maximum amount she should pay for the bond is $