Delayed Annuity $($SDT$)$

Christina is planning on buying an insurance policy that will pay for $$126,750$ a year for $25-$years, with the first payment occurring in $15$ years, if she is still alive, otherwise the policy will payout a lump sum to her heirs at the end of year $14.$ The rate of return on the policy is$5\mathrm{.}25$ percent?

What is the value of the lump payout?

$1234836\mathrm{.}62$ Numeric Response Edit Unavailable. $1234836\mathrm{.}62$ incorrect.

If Christina purchases the policy, what is the maximum she is willing to pay?