Consider the following bond

Face Value $=$ $$1,000$

Bond Price $=$ $$1,000$

YTM $=4\mathrm{.}0\%$

Duration $=3\mathrm{.}78$

You anticipate interest will rise to $5\%.$ Using the bond's duration, what is the forecasted dollar value change in the price of the bond?

Choose the closest correct answer below. Note: Answers may be slightly different due to rounding!

Group of answer choices

$-36\mathrm{.}3$

$-86\mathrm{.}7$

$-106\mathrm{.}3$

$-27\mathrm{.}2$

$-70\mathrm{.}9$