James Bennett also allocates wealth between youth and old age. He has no cash currently (in his youth), but will inherit $3000 in his old age. He can lend and borrow at the bank at 18% (that is, lending $1 in youth will give him
$1.18 in old age). He has an investment opportunity that costs $12,000 now in his youth and has a payoff of $15,000
in his old age. This is the only investment opportunity available to him. What is the most he can consume in his
youth?