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Perpetuity, Sinking Funds & Bonds · Question 60 of 63

Question 60

HardOriginal question

A bond with face value ₹1,000 pays an 8% coupon yearly and is repaid in 2 years. Buyers require 10% a year. What is the bond worth? (Take 11.1=0.9091\frac{1}{1.1} = 0.9091 and 1(1.1)2=0.8264\frac{1}{(1.1)^{2}} = 0.8264.)

Options for question 60

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Year 1 brings ₹80 and year 2 brings 80+1,000=1,08080 + 1{,}000 = 1{,}080.

  2. Value =80×0.9091+1,080×0.8264=72.73+892.51=965.24= 80 \times 0.9091 + 1{,}080 \times 0.8264 = 72.73 + 892.51 = 965.24 rupees, below par because 8% is less than 10%.

Worth noting

₹986.40 discounts the face value but adds the ₹160 of coupons at full value.

Concept
Valuing a bond by present values
Typical time
120 s
Your time
—
The rule this testsValuing a bond
Practise this chapter →

Ten questions from Perpetuity, Sinking Funds & Bonds, at your own pace.

Practise this chapter →

Ten questions from Perpetuity, Sinking Funds & Bonds, at your own pace.