An investor is considering the purchase of five years Tk. 1000 per value Bond, bearing a normal rate of interest of 7%

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An investor is considering the purchase of five years Tk. 1000 per value Bond, bearing a normal rate of interest of 7%. The investor’s required rate of return is 8%. What should he be willing to pay now to purchase? The bond if it matrices at par? The investors will receive cash Tk. 70 as interest each year or 5 years a Tk. 1000 on maturity.

To determine what the investor should be willing to pay today, we calculate the Intrinsic Value (Present Value) of the Bond.

The price of a bond equals the present value of its future cash flows: the annual interest payments (an ordinary annuity) plus the principal amount repaid at maturity (a single lump sum), both discounted at the investor’s required rate of return.

1. Given Data

  • Par / Face Value (c0edd763 0f0a 4cfa 8676 270269ea017a): Tk. 1,000
  • Coupon Rate: 7%
  • Annual Interest Payment (2e8770f9 1714 42c8 9eb1 2a4a5c40b80d): 9326594c 0a82 41ba 91de 443a2700b9b9
  • Required Rate of Return (4cf77275 6136 4b32 9188 d2696906aa54): 8% or a821faa4 52ef 4021 858b 7f7868270032
  • Maturity Period (9d1b6767 ee54 4b82 91ad 49d542551164): 5 years

2. Bond Valuation Formula

image 116

Where:

  • cd16f3b7 0efa 4fd4 a7fd 1aa2b5979536
  • 64ae1409 4ec8 4e07 ae81 d9e531d4c87f

3. Calculation

  1. Present Value of Annual Interest Payments:
image 115
  1. Present Value of Maturity Amount (Principal):
image 118
  1. Total Value of the Bond (45be305e b1a1 4a09 ab90 54bc8a757779):
image 117

Conclusion

The investor should be willing to pay Tk. 960.07 to purchase the bond today.

(Since the investor’s required rate of return (8%) is higher than the coupon rate (7%), the bond sells at a discount relative to its Tk. 1,000 par value).

আর্টিকেলের শেষ কথাঃ An investor is considering the purchase of five years Tk. 1000 per value Bond, bearing a normal rate of interest of 7%

আরো পড়ুন:

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