PLEASE SHOW ALL WORK

The Zinn Company plans to issue $10,000,000 of 20-year bonds in June to help finance a new research and development laboratory. The bonds will pay interest semiannually. It is now November, and the current cost of debt to the high-risk biotech company is 11%. However, the firms financial manager is concerned that interest rates will climb even higher in coming months. The following data are available:

a. What is the implied yield on the June futures contract? How many futures contracts will be needed to hedge potential losses in bond proceeds (based on current market conditions) due to waiting (round up to the nearest integer)? What is the total value of the hedge position?

b. Assume that interest rates in general increase by 200 basis points. Suppose the bonds terms dont change and that the coupon rate is still 11%. How much would the proceeds be given the new market rates? What is the loss in proceeds based on the original target for proceeds?

c. Assume that Zinn had entered the hedge found in part a. What is the new price of the hedge position? What is the gain on the hedge? What is the net effect of the loss of proceeds and the gain on the hedge?

The correct answers are below, I just do not know how to get them. PLEASE SHOW ALL WORK

a.

Yield =6.3992%;

Sell 105 contracts;

Total hedge position 5 $10,030,781.25.

b.

Bond proceeds = $8,585,447.31;

Loss on proceeds = $1,414,552.69.

c.

New total hedge position = $8,079,283.80;

Futures = $1,951,497.45;

Net = 1$536,945.

Futures Prices: Treasury Bonds$100,000; Pts. 32nds of 100% Delivery Month Open High Low Settle Change (1) (2) (3) (4) (5) (6) Dec 94'280 95'130 94'220 95'050 +0'070 Mar 96'030 96'030 95'130 95'250 +0'080 June 95'030 95'170 95'030 95'170 +0'080 Open Interest (7) 591,944 120,353 13,597 Futures Prices: Treasury Bonds$100,000; Pts. 32nds of 100% Delivery Month Open High Low Settle Change (1) (2) (3) (4) (5) (6) Dec 94'280 95'130 94'220 95'050 +0'070 Mar 96'030 96'030 95'130 95'250 +0'080 June 95'030 95'170 95'030 95'170 +0'080 Open Interest (7) 591,944 120,353 13,597