b$.)$ Suppose that you purchase the bond, and the next day the market interest rate on similar bonds falls to $4\mathrm{.}3\%.$

The price of the bond will be $$1036.($Round your response to the nearest cent.$)$

The current yield will be $5\mathrm{.}12\%.($Round your response to two decimal places.$)$

c$.)$ Now suppose that $1$ year has gone by since you bought the bond, and you have received the first coupon payment. The market interest rate on similar bonds is still $4\mathrm{.}3\%.$

At an interest rate of $4\mathrm{.}3\%,$ the price an investor is willing to pay for the bond is $$1027\mathrm{.}59.($Round your response the nearest cent.$)$

Your rate of return on the bond was $8\mathrm{.}06\%.($Round your response to two decimal places.$)$

Suppose investor A bought the bond a year ago for the amount that was calculated in part $($b$).$ Investor A$\text{'}$s rate return would have been $4\mathrm{.}30\%.($Round your response to two decimal places.$)$

d$.)$ Now suppose that $2$ years have gone by since you bought the bond and that you have received the first two coupon payments. At this point, the market interest rate on similar bonds unexpectedly rises to $10\%.$

At an interest rate of $10\%,$ the price an investor is willing to pay for the bond is $ $($Round your response to nearest cent.$)$