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- Annuity A pays 1 at the beginning of each year for five years.Annuity B pays 1 at the beginning of each year for four years.The Macaulay duration of Annuity A at the time of purchase is Σ/10. Both annuities offer thesame yield rate.Calculate the Macaulay duration of Annuity B at the time of purchase. Σ=22Example 26a (Varying Force of Interest) A fund earns interest at a force of interest 8, = kt . A deposit of RM100 at time t=0 will grow to RM250 at the end of 5 years. Determine k.What is the future value of an annuity due of $800 paid semi-annually for the next 7 years, with a yield of 5% p.a. compounded semi-annually? Select one: a. $13,215.16 b. $6,923.22 c. $11,200.00 d. $13,545.54
- 16: Fective rate of interest on an investment is 5.52%, what is the nominal rate of interest nded monthly?What is the present value (PV) of $70,000 received six years from now, assuming the interest rate is 5% per year? O A. $45,500 O B. $52,235 OC. $91,411 D. $44,400What is the present value (PV) of $300,000 received seven years from now, assuming the interest rate is 9% per year? ..... A. $205,138 В. $287,193 C. $164,110 D. $180,000
- 1.An investment that has a maturity value of $3,400 and is discounted 5 years and 6 months before maturity at 4.80% compounded semi-annually. a. Calculate the discounted value of the investment. $0.00 Round to the nearest cent b. Calculate the amount by which the money is discounted.What is the rate of return (the interest rate) on an investment today of $30,626.24 if the company expects to receive $45,000 in 5 years? а. 9% O b. 8% С. 6% d. 7%30. A security pays $2500 at the start of each quarter for 3 years. Given that the annual discount rate compounded quarterly is 8%, which of the following is most likely to be the worth of the security today?A. $18,840. B. $26,438. C. $26,967.
- A 10-year floating rate (annually paid) security selling for 101.32 pays a rate based on a reference rate plus 50 basis points. Assume the current value of the reference rate is 7%. What is the discount margin? O +30.94 bps O -309.4 bps O -30.94 bps O +309.4 bpsConsider the following portfolio of assets and liabilities. The time, t, is measured in years. Assets: A payment of £3,738.32 t = 3 and a payment of £4,280 at t = 5. Liabilities: A payment of £8,000 at t = 4. The interest rate is 7 % p.a. Calculate the present value of the Assets: £ 数字 Liabilities: £ Enter an answer correct to 2 decimal places Calculate the effective duration of the Assets: 数字 Liabilities: 数字 Enter an answer correct to 2 decimal places Calculate the convexity of the Assets: 数字 Liabilities: 数字 Enter an answer correct to 2 decimal places Does the portfolio of assets and liabilities satisfy the conditions for Redington's immunisation? Yes ○ NoWhat is the present value (PV) of $300,000 received five years from now, assuming the interest rate is 9% per year? O A. $194,979 B. $243,724 C. $341,214 O D. $180,000