Consider the following coupon bond issued by XYZ$.$inc

Term: $3$ years

Payment: $200$

Face Value: $2,000$

Currently the prevailing risk free rate is $0\mathrm{.}04$ and the market places a risk premium on XYZ$.$inc bonds of $0\mathrm{.}05$

Suppose the risk premium decreases by $0\mathrm{.}01$

Compute the change in the bond price.

Record your unitless answer to the nearest cent.