Suppose we have a fixed set of future cashflows with a present value of $P_0.$ The current effective annual yield rate is $6\mathrm{.}3\%.$ For these cashflows and yield rate, you are given the following:

The duration is $5\mathrm{.}41239.$

The modified duration based on the effective annual rate is $5\mathrm{.}09162.$

Now suppose the yield rate increases by $0\mathrm{.}010.$

Estimating the new present value of the cashflows using duration gives $P_A.$

Estimating the new present value of the cashflows using modified duration gives $P_B.$

$P_A-P_B=1\mathrm{.}33258$

Find the original present value $P_0.$