First question:
Yes it's true,if interest rate is expected to fall (rise) the best bond strategy is to own low (high) coupon and long (short) maturity bonds.
Second question:
Market value of bond =>
Coupon rate semi annual- 10/2 = 5%
Maturity period- 10×2 = 20 years
Value = $50× 9.818 (grand total of (1.08)^20) +$1000×(1.08)^20
= $50×9.818+$1000×0.2145
= $490.90+$214.5
= $705.40
Third question:
Yield to maturity=>
C+(F-P)/n /F+P/2, where c is coupon/interest payment; F is face value; P is price; n is number of years
Years to maturity will be 10 years (semi annual)
Coupon if semi annual will be $1000×5% = $50
= $50+(1000-800)/10/1000+800/2
= $50+200/10/1600/2
= $50+$20/800
= $70/800
= 0.0875
=> 8.75%
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