A bond ETF named TEX, comprises four bonds $($face value$=$$$1000)$:

$1)$ There are $50$ bonds with semi$-$annual payments, $5-$year maturity, $4\%$ annual coupon rate.

$2)$ There are $100$ bonds with annual payments, $30-$year maturity, $8\%$ annual coupon rate.

$3)$ There are $150$ zero coupon bond with $10-$year maturity.

$4)$ There are $200$ zero coupon bond with $20-$year maturity.

$1.$ To investor A$,$ if his$/$her required yield is $6\%$ per year, what is the present value for each bond? $(20\%$ credit$)$

$2.$ To investor A$,$ what is the fair value of the entire TEX portfolio given these bonds$$ present values from question $1?$ What is each bond$$s market value weight in the portfolio? $(20\%$ credit$)$

$3.$ To investor B$,$ if his$/$her required yield is $10\%$ per year, what is the present value for each bond? What is the fair value of the entire TEX portfolio given these bonds$$ present values? What is each bond$$s market value weight in the portfolio? $(20\%$ credit$)$

$4.$ To investor A$,$ which are premium bonds and which are discount bonds? If these bonds$$ yield to maturity remain constant $($which means market interest rate remains constant$),$ then in one year will each bond$$s price be higher, lower, or unchanged? $(20\%$ credit$)$

$5.$ To investor A and focusing on the first bond with semi$-$annual payments, if the last interest payment was made $60$ days ago, what is the bond$$s accrued interest and invoice price if the clean price is the present value of the bond? Assuming $180$ days between two coupon payments. $(10\%$ credit$)$

$6.$ To investor B and focusing on the second bond with annual payments, if the last interest payment was made $90$ days ago, what is the bond$$s accrued interest and invoice price if the clean price is the present value of the bond? Assuming $360$ days between two coupon payments $(10\%$ credit$).$