CUET · MATHS · PYQ PAPER 2023
A bond of face value ₹1000 has a coupon rate 10% per annum paid semi-annually and matures in 4 years. If present value of the bond is ₹1100, then yield to maturity is:
- A 3.07% per annum
- B 9.24% per annum
- C 7.14% per annum
- D 15.8% per half year
Answer & Solution
Correct Answer
(C) 7.14% per annum
Step-by-step Solution
Detailed explanation
Semi-annual coupon payment C = ₹ 1000 \(\times 0.10 / 2\) = ₹ 50 Total periods \(N = 4 \text{ years} \times 2 = 8\) Approximate semi-annual yield to maturity \(r_{sa} \approx \frac{C + (FV-PV)/N}{(FV+PV)/2}\) \(r_{sa} \approx \frac{50 + (1000-1100)/8}{(1000+1100)/2}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from MATHS
- The domain of \(y=\cos ^{-1}\left(x^2-4\right)\) isCUET 2025 Easy
- A simple random sample of 100 items from a population with \(\sigma=8\) has a standard error of mean :CUET 2023 Easy
- Which of the following statements is/are true?
(A) The vector sum of the three sides of a triangle in order is \(\vec{c}\)
b (B) The magnitude (r), direction ratios (a, b, c) and direction cosines (l, m, n) of any vector \(\vec{r}=a \hat{i}+b \hat{j}+c \hat{k}\) are related as \(l=\frac{a}{r}, m=\frac{b}{r}, n=\frac{c}{r}\)
(C) If θ is the angle between two vectors \(\vec{a}\) and \(\vec{b}\), then their cross product is given as \(\vec{a} \times \vec{b}=|\vec{a}||\vec{b}| \sin \theta\)
(D) The cross product of two vectors is commutative
Choose the correct answert from the option given below :CUET 2025 Easy - The value of \(x\), if \(\cos^{-1} \sqrt{3}x + \cos^{-1} x = \frac{\pi}{2}\) is:CUET 2023 Medium
- Bag I contains 3 black and 2 white balls, Bag II contains 2 black and 4 white balls. A bag is selected at random and then a ball is drawn from it. The probability that the ball drawn is black is :CUET 2025 Easy
- If the feasible region R for a linear programming problem is bounded, then the objective function \(Z=A x+B y\) hasCUET 2023 Medium
More PYQs from CUET
- The same current is flowing in two AC circuits. The first circuit contains a pure inductor and the second, a capacitor. If the frequency of the AC is increased, then the current will :CUET 2023 Easy
- The demand function for a certain product is represented by the equation: p = 20 + 5x - \(3 x^2\), where \(x\) is the number of units demanded and p is the price per unit (in Rs.), then the marginal revenue when 2 units are sold, is:CUET 2025 Medium
- A wheel with 10 metallic spokes each of length 1.0 m long is rotated with a speed of 240 rev/min in a plane normal to magnetic field of 0.4 G at the place, the induced emf between the axle and the rim of the wheel is: Given that 1 G = \(10^{-4}\) T.CUET 2025 Medium
- In n-type semiconductors, A are the majority charge carriers and B are the minority charge carriers. Here A and B are :CUET 2025 Medium
- If \(, A=\left[\begin{array}{ll}x & 3 \\ 2 & 4\end{array}\right], B=\left[\begin{array}{ll}2 & 3 \\ y & 3\end{array}\right]\) and,\(C=\left[\begin{array}{ll}z & 1 \\ 8 & 2\end{array}\right]\) are singular matrices then :
(A) \(x>y\)
(B) \(y>z\)
(C) \(z>x\)
(D) \(x \neq y \neq z\)
Choose the correct answer from the options given below :CUET 2025 Hard - What is the force between two small charged spheres having charges of \( 4 \times 10^{-7} \text{ C} \) and \( 6 \times 10^{-7} \text{ C} \) placed 60 cm apart in air ?CUET 2023 Easy