Fixed Income Analysis-Reinvestment Risk

John267

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Financial Institution has purchased following T/Bond. After the purchase market rates have gone up drastically.Therefore FI has decided to keep the Bond until maturity.What’s the best solutuon to overcome capital loss?
Face Value 150,000,000
Purchase Price 109.0960
Purchase Yield 9.00%
Coupon Rate 11%
Coupon mehtod -Semiannual
Maturity Date 01/August/2021
Calculation Date 30/April/2016
Can anyone tell me whether anything is missing in the below solution?
Calculation-
# of remaning coupons 11
If 11 remaining coupons are invested at 13.32% Future Value of coupon interest = 13,702,408
If the bond is held untill maturity, Capital Gain= Capital loss of 13,644,000 {100-109.096*Face Value/100}
Assuming that semiannual coupons(8,250,000) are loaned out at 13.32% every six months then future value of coupon interest are 13,702,408
Then net int income = 13702408-13644000= 58,408
Solution-
If semiannual coupons are loaned out to customers at 13.32% FI can make Net int income of 58,408.
 
Sorry I am probably tired but I don’t get the capital loss formula? ?
In order to spot How much is the capital loss I’d probably go throuhg the DUR formula which makes DELTA P / DELTA Y?
thanks for clarifying this.
 
The capital loss is just what you’ll receive at maturity less what you paid.
You’ll receive 150,000,000: par.
You paid 150,000,000 × 109.0960% = 163,644,000
The loss, therefore, is 13,644,000.
 
Thank you S2000magician for your reply now i am confident of my calculation
Sanseeker,
even though the bond is purchased at a premium or discount at maturity you will recieve Facevalue.In this case Premium bond above par value 100.
I calculated as 100 Par bond purchased at 109.0960(premuim) so at maturity, loss is 100-109.0960 for 100 units. To get full loss this has to multiply by Facevalue and devide by 100 to get 13644000. S2000 magician has calculated in a different way but both are correct.
a*(b*c)=(a*b)*c
 
That’s what I thought S2000magician : after 8 hours sleep everything is clear now!
Sorry for my silly question, I see now.
thanks for your help
 
Apologies gentlemen for stealing your time but
would you be so kind to show the data you did include to get the TV of the coupons,
sorry but I still have a different amount.
cheers
 
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