An investor recently purchased a bond with Tk. 20,000 face value, 12.50% coupon rate

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An investor recently purchased a bond with Tk. 20,000 face value, 12.50% coupon rate, and 8.50 years remaining to maturity. The bond makes an annual interest payment. The investor paid Tk. 20.500 for the bond. If the bond can be called two years from now at a price of Tk. 21,160, What is its YTC?

To find the Yield to Call (YTC), we calculate the annual rate of return an investor receives if the bond is held until its call date.

Given Data:

  • Face Value (0b14d1d8 4ff7 4cf4 8820 ea7cca37d1c4): Tk. 20,000
  • Coupon Rate: b7ada95f 0423 4573 b7db 1e0e4430c8ee
  • Annual Coupon Payment (9bfc80e7 4358 4864 b46f 2b825dad776c): b77f724b 8e4e 4bd7 9dae 17a5dadcab55
  • Current Purchase Price (b344357a a3ae 4cef 890b 7929b367342f): Tk. 20,500
  • Call Price (e873b78c f64b 468d b450 9a987a121bfc): Tk. 21,160
  • Years to Call (4342038a e5cd 4650 8cf7 42d4b0cbc480): 2 years

Method 1: Approximate Yield to Call (Shortcut Formula)

image 60
  1. Calculate Capital Gain per Year:
image 62
  1. Calculate Average Price to Call:
image 66
  1. Calculate Approximate YTC:
image 61

Method 2: Exact Yield to Call (IRR / Financial Calculator Formula)

Using the present value formula for bond cash flows:

image 63
image 65
image 67

Solving for c3d70eaa ab76 419a a7fb 5ab338850f54:

image 64

Final Answer:

  • Approximate Yield to Call (YTC): 13.59%
  • Exact Yield to Call (YTC): 13.70%
আর্টিকেলের শেষ কথাঃ An investor recently purchased a bond with Tk. 20,000 face value, 12.50% coupon rate, and 8.50 years remaining to maturity. The bond makes an annual interest payment. The investor paid Tk. 20.500 for the bond. If the bond can be called two years from now at a price of Tk. 21,160, What is its YTC?

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