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Below is the information of a zero-coupon bond which has a face value of RM1000, 10-year maturity, 10% coupon bond with interest rate of 10%.
Year Cash payments (Zero-Coupon Bond)
1. 1002 1003 1004 1005 1006 1007 100 8 1009 10010 10010 1,000
a) Calculate the present value of cash payments.
b) Calculate the weights of each cash payments.
c) Calculate the weighted maturity.
d) Assume a fund manager has the option to hold a coupon bond with 8-year maturity with a coupon rate of 8%. He has an option of holding the same duration coupon bond with a coupon rate of 15%. The interest rate is 4.5% when the duration for 8% coupon bond is 6.59 years. Calculate the change in bond price if the interest rate increases from 4.5% to 6.9%.
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