$1)$ An investor is considering the purchase of a $5-$year $16\%$ coupon bond. Coupon is payable at the end of each year. The redemption value of the bond is at par of Rs $5000.$ If the investor wants a yield of $17\%,$ what is the price at which he should be willing to buy the bond? $(3$ marks$)2)$ A company has a Rs$.100$ par value bond currently selling at Rs$.96\mathrm{.}017.$ The coupon rate is $8\%$ and maturity period is $22$ years. If the bond makes semi$-$annual payments, what is its yield to maturity? $(3$ marks$)3)$ Bajaj Ltd$.$ issues a bond having face value of Rs$.1000$ and a coupon rate of $12\%.$ Interest is paid semi$-$annually and the bond is redeemable at face value after $5$ years. What is the intrinsic value of the bond if the required rate of return is $14\%?(2\mathrm{.}5$ marks$)4)$ A $8-$year bond is issued with a face value of INR $500,$ paying interest of INR $50$ a year. If interest rates increase shortly after the bond is issued, what happens to the bonds $(1\mathrm{.}5$ marks$)$a$)$ Coupon rate?b$)$ Price?c$)$ Yield to maturity?