1.. In 2021, a standard 30-year fixed mortgage in the US could be had for somewhere around 3%. Following a series of interest rate increases by the Federal Reserve, today in October 2022 that number is closer to 7%. Suppose in 2021 you were interested in buying a house worth $457,000 by taking out a 30-year mortgage at 3% rate and 20% down payment. How much higher would your monthly mortgage payments be now for the same house at a 7% rate (same house price and percent down payment). Answer in whole dollars.

2. A 8-year zero-coupon bond has a face value of $1,000. If its YTM is 5.9%, how much is this zero-coupon bond worth? Round to the nearest cent.

3. A zero-coupon bond has face value of $1,000 and time to maturity of 5.9 years. If it is currently trading for $872, what is this zero-coupon bond's yield-to-maturity? Round to the hundredth of a percent. (e.g., 4.32% =4.32)

4. An annual coupon bond has a face value of $1,000 and a coupon rate of 4.4%. Time to maturity is 22 years and the current yield to maturity is 4.9%. What percentage of this bond's value is due to its face value? Answer in percent, rounded to one decimal place (e.g., 54.67% --> 54.7)