6. An investor paid Php1,100 for a Php1,000 bond that pays Php40 a year. In 20 years, the bond will be redeemed for Php1,050. What net rate of interest will the investor obtain on his investment? Solve by interpolating between 3% and 4%. Do not use Shift+Solve. Express your answer to 4 decimal places.
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- Many retirement funds charge an administrative fee equal to 0.25% on managed assets. Suppose that Alex and Spenser each invest $50,000 in the same year. Alex invests in a no-load fund (that doesn’t charge the 0.25% fee) and earns 5% a year. Spenser uses another retirement fund that charges the 0.25% fee and so only earns 4.75%. After 30 years, how much more will Alex have than Spenser?Draw the cash flow diagram with your solution.In a certain department store, the monthly salary of a saleslady is partly constant and partly varies with her sales for the month. When the value of her sales for the month is P10,000, her salary for the month is P900. When her salary for the month goes up to P12,000, her monthly salary becomes P1,000. What must be the value of her sales for the month so that her salary for the month will be P2,000?An investor can invest money with a particular bank and earn a stated interest rate of 4.40%; however, interest will be compounded quarterly. What i are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate Periodic rate Effective annual rate Rahul needs a loan and is speaking to several lending agencies about the interest rates they would charge and the terms they offer. He particularly likes his local bank because he is being offered a nominal rate of 4%. But the bank is compounding bimonthly (every two months). What is the effective interest rate that Rahul would pay for the loan? ○ 3.945% 4.152% 4.067% 04.186 % Another bank is also offering favorable terms, so Rahul decides to take a loan of $12,000 from this bank. He signs the loan contract at 5% comanded daily for 12 months. Based on a 365-day year, what is the total amount that Rahul owes the bank at the end of the loan's term? (Hint: To calculate the number of days,…
- The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 9.2% annual coupon bond for $1,180. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond has declined by 1%, and you decide to sell. What price will your bond sell for? (Omit $ sign in your response.) Bond price $ b-2. What is the HPY on your investment? HPY %Assume that your father is now 50 years old and plans to retire after 10 years from now. He is expected to live for another 25 years after retirement. He wants a fixed retirement income of Rs. 5,00,000 per annum. His retirement income will begin the day he retires, 10 years from today, and then he will get 24 additional payments annually. Your father has current savings of Rs. 10,00,000 and he expects to earn a return on his savings @ 10% p.a., annually compounding. How much (to the nearest of rupee) must your father save during each of next 10 years to meet his retirement goal?Lesson: Economic Equivalence By the age of 50, you wanted to be called a multi-millionaire. What amount should you deposit every end of the month so that you can expect ₱ 2,000,000.00 at that age. Assume you are 20 years old today and the bank offers 6%.
- Adam buys a two-year bond with a $1000 face value and a 10% coupon rate for $1000 today. If one year later the market interest rate increases by 6% and Adam sells the bond, then his rate of return on this investment is _______% (round to one decimal place, negative if it is a loss)1. How much is the total value of all these presents worth today?2. How much is the future value of all these presents at the end of 12 years?3. If Tita Rhea agrees to give her these amounts annually forever, how much is its total value worth today?4. If the presents are each made continuously throughout the year at a rate of P, multiply the present value in #7 by a suitable adjustment factor (d/δ) to determine its total present value. Type the resulting amount below.1. Lottie wants to have a fund that would pay annual payments to her son of Php200,000 a year forever. How much does she need to deposit today to achieve her goal if the fund can earn 5 percent interest?
- The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate? d) Suppose that the bond trades at premium. Is there excess demand or supply? Explain.e) There is a business cycle expansion, so both supply and demand shifts. After the shift, thenew demand curve is given by: D = 4000 + X − 2P, whereas the new supply curve is S =2P + 200. For which values of X will the interest increase/decrease? Which values of X arein line with empirical data?The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate?Economics In 54 months time you expect a cash flow of $3 million. Calculate it’s present value (PV) given the 54-month interest rate is currently 4%, with a volatility of 120 basis points (bps). Explain, using equations with properly-defined mathematical notation, how to map this cash flow to vertices at 4 years and 5 years, in such a way that the volatility of the present value of the mapped cash flow remains at 120 bps. Suppose the 4-year rate has a volatility of 110 bps and the 5-year rate has a volatility of 150 bps, and their correlation is 0.9. How much should be mapped to each vertex. Give your answer in PV terms and round your answers to whole $ values.