a$.$ Find the price of a $7\%$ coupon bond, paying its coupon semi$-$annually, with

$18$ months left to maturity. The bond has a yield of $8\%$ compounded semi$-$annually.

Assume the Face Value of the bond to be $$100.$

b$.$ Find the price of the same bond $($described in part a$),$ with $6$ months left to

maturity.

c$.$ What do you notice? What can you conclude?

d$.$ Find the price of a $0\%$ coupon bond, with $10$ years left to maturity. The bond

has a yield of $6\%$ compounded semi$-$annually. Assume the Face Value of the

bond to be $$100.$

e$.$ Find the yield of a $6\%$ coupon bond, paying its coupon semi$-$annually, with $24$

months left to maturity. The price of the bond is $$1,030\mathrm{.}5.$ Assume the Face

value of the bond to be $$1,000.$

f$.$ Every month you deposit $$150$ in your investments account. Your account

pays $5\%$ in interest annually, compounded monthly. What amount are you

left with after $10$ years?

g$.$ You are saving for a $$50,000$ vehicle that you would like to purchase in $5$

years. Your account pays $6\%$ annually, compounded annually. If you do not

plan on contributing additional funds to your account over the years, how

much should you deposit in your account at initiation?

h$.$ You are shopping for a loan. The advertised Nominal Interest rate is $5\%.$ You

find out that the interest will be compounded quarterly. Find the Effective

Annual Interest rate.