Please help me solve e and f$.$

Sam Strother and Shawna Tibbs are vice presidents of Mutual of Seattle Group Health Cooperative and codirectors of the organization's pension fund management division. The unions that represent the GHC hospital staff have requested an investment seminar so that they better understand the decisions being made on behalf of their members. Strother and Tibbs, who will make the actual presentation, have asked you to help them by answering the following questions.

a$.$ What is the value of a ten$-$year, $$1,000$ par value bond with a $10$ percent annual coupon if its required rate of return is $10$ percent?

b$.$ What would be the value of the bond described in question a$.$ if$,$ just after it had been issued, the expected inflation rate rose by $3$ percentage points, causing investors to require a $13$ percent return? Would we now have a discount or a premium bond?

c$.$ What would be the value of the bond described in question a$.$ if$,$ just after it had been issued, the expected inflation rate fell by $3$ percentage points, causing investors to require a $7$ percent return? Would we now have a discount or a premium bond?

d$.$ What would happen to the value of the ten$-$year bond over time if the required rate of return remained at $13$ percent, remained at $7$ percent, or remained at $10$ percent? Graph your results using the table below:

Value of Bond in Given Year:

N $7\%10\%13\%$

$0$

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$

e$.$ What is the yield to maturity on a ten$-$year, $9$ percent annual coupon, $$1,000$ par value bond that sells for $$887\mathrm{.}00?$

f$.$ What are the total return, the current yield, and the capital gains yield for the bond in question e$.?($Assume the bond is held to maturity and the company does not default on the bond.$)$