Array purchases a bond, newly issued by Amalgamated Corporation, for $$10,000.$ The bond pays $$500$ to its holder at the end of the first few years and pays $$10,500$ upon its maturity at the end of the $3$ years.a$.$ What are the principal amount, the term, the coupon rate, and the coupon payment for Arjay$$s bond?Instructions: Enter your responses as whole numbers.Principal amount: $Term: yearsCoupon rate: $\%$Coupon payment: $b$.$ After receiving the second coupon payment $($at the end of the second year$),$ Arjay decides to sell his bond in the bond market.What price can he expect for his bond if the one$-$year interest rate at that time is $3$ percent? $8$ percent? $10$ percent?Instructions: Enter your responses as whole numbers.The expected price for the bond at$3$ percent: $$8$ percent: $$10$ percent: $c$.$ Suppose that after two years, the price of Arjay$$s bond falls below $$10,000,$ even though the market interest rate equals the coupon rate. One possible reason is that: