$1.$ Calculating Future Values $[$LO$1]$ For each of the following, compute the future value:

$2.$ Calculating Present Values $[$LO$2]$ For each of the following, compute the present value:

$3.$ Calculating Interest Rates $[$LO$3]$ Solve for the unknown interest rate in each of the following:

$4.$ Calculating the Number of Periods $[$LO$4]$ Solve for the unknown number of years in each of the following:

$5.$ Calculating Interest Rates $[$LO$3]$ Assume the total cost of a college education will be $$290,000$ when your child enters college in $18$ years. You presently have $$55,000$ to invest. What annual rate of interest must you earn on your investment to cover the cost of your child's college education?

$6.$ Calculating Future Values $[$LO$1]$ Your coin collection contains fifty $1952$ silver dollars. If your grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in $2057,$ assuming they appreciate at a $4\mathrm{.}5$ percent annual rate?

$7.$ Valuing Bonds What is the price of a $15-$year, zero coupon bond paying $$1,000$ at maturity if the YTM is:

$3\mathrm{.}75.$percent

$6\mathrm{.}80$ percent

$8\mathrm{.}90$ percent

$8.$ Valuing Bonds Microhard has issued a bond with the following characteristics:

Time to maturity: $15$ years Coupon rate: $7$ percent Semiannual payments. Calculate the price of this bond if the YTM is:

$7\mathrm{.}0$ percent

$9\mathrm{.}5$ percent

$5\mathrm{.}8$ percent

$9.$ Bond Yields Watters Umbrella Corp. issued $15-$year bonds $2$ years ago at a coupon rate of $6\mathrm{.}4$ percent. The bonds make semiannual payments. If these bonds currently sell for $105$ percent of par value, what is the YTM$?$

$10.$ Coupon Rates Rhiannon Corporation has bonds on the market with $11\mathrm{.}5$ years to maturity, a YTM of $7\mathrm{.}6$ percent, and a current price of $$1,060.$ The bonds make semiannual payments. What must the coupon rate be on these bonds?