Your Green Investment Recommendations subscription is about to expire. You plan to subscribe to the magazine for the rest of your life, and you can renew it by paying $$90$ annually, beginning immediately, or you can get a lifetime subscription for $$930,$ also payable immediately. Assuming that you can earn $6\mathrm{.}0\%$ on your funds and that the annual renewal rate will remain constant, how many years must you live to make the lifetime subscription the better buy?

a$.15\mathrm{.}09$ years

b$.10\mathrm{.}58$ years

c$.9\mathrm{.}75$ years

d$.16\mathrm{.}61$ years

e$.40\mathrm{.}08$ years

You are offered a chance to buy an asset for $$3,700$ that is expected to produce cash flows of $$750$ at the end of Year $1,$ $$1,000$ at the end of Year $2,$ $$750$ at the end of Year $3,$ and $$4,750$ at the end of Year $4.$ What rate of return would you earn if you bought this asset?

a$.18\mathrm{.}31\%$

b$.23\mathrm{.}53\%$

c$.37\mathrm{.}52\%$

d$.16\mathrm{.}13\%$

e$.23\mathrm{.}99\%$