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1.) Let be a generic function as discussed in class. dollar duration is: 2.)cons

ID: 2740141 • Letter: 1

Question

1.) Let

be a generic function as discussed in class. dollar duration is:

2.)consider a bond with maturity 4 year, 100 face value, coupon 5%, and yield 5%. compute a dollar duration numerically using dy=0.001%.

3.) consider a bond P with 4 year maturity, 6%coupon annually paid, yield to maturity 7%

pricing function is…

4.)duration captures one important aspects of internet rate risk. Namely…

5.) assume that there is a bond that pays $50 at the end of year 1 and $50 at the end of year 2. it sells at $100. the macauley duration of the bond is...

   a. 0

   b.1

   c.1.5

   d.2

6.)assume that you manage a bond portfolio. the dollar duration of the portfolio is -6710000. an instrument is traded with dollar duration equal to -1342. to make the portfolio duration neutral you need to…..

Explanation / Answer

Ans;

2.

Face value of bond = 100

Coupon rate = 5%

Yield to maturity = 5%

Maturity duration = 4years

Coupon rate = 100 * 5% = $5

= Coupon rate * PVIFA + Coupon rate *PVFA

= $5 * (5%, 4years) + (5%, 4years)

= 5* $3.5459 + $5* 0.7835

= $17.72 + 3.91

= $21.6375

5. a. 0

6.buy 5000 units of the hedging instruments