Assume that ly = 0.50% and that lt = 0. If the one-year interest rate is 5% and the %3D two-year interest rate is 5.75%, then i is equal to: O A. 5.50% O B. 5.25% OC. 6.25% O D. 5.75%
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- A 10-year government coupon bond has a face value of $1,000 and a coupon rate of 5% paid annually. Assume that the interest rate is 6% per year. What is the bond’s PV? (You can sum the PVs for each of the coupon payments and the final $1,000, or you can use the annuity formula in the text (at p. 103) to save some work.)If Tim borrows $600 from a payday loan operator and has to pay S775 at the end of 1 month, how much will he have to pay if he were to keep the money for a year on the same terms? O. $12,407 O. $6,321 O. $1,020 O. $12,941Suppose that you purchase a 2 year coupon bond at the time it is issued for $1100. The face value of the bond is $1000, with annual coupon payments of $80. a. What is the bond’s “coupon rate”? b. What is the bond’s “current yield”? c. What is the bond’s (nominal) “yield to maturity”? d. If you hold the bond for 1 year and sell it for $1035 (after collecting the first coupon payment), what is your “holding period rate of return”? Please answer all part otherwise Dounvote
- Suppose you have the alternative of receiving either $15,000 at the end ofseven years or P dollars today. Currently, you have no need for the money, soyou could deposit the P dollars into a bank account that pays 6% interest compounded annually. What value of P would make you indifferent in your choice between P dollars today and the promise of $15,000 at the end of seven years?Compare the interest earned by $15,000 forten years at 8% simple interest with that earned bythe same amount for ten years at 8% compoundedannually.2. Which is more desirable: investing $2000 at 6% peryear compound interest for three years, or investing$2000 at 7% per year simple interest for three years? please include a cashflow(not excel)
- 2 A man borrowed Php 120,000 and promised to pay annually for 5 years. The payment starts at "X' pesos. The man intends to increase his payments by Php 5,000 at the end of each successive year. If the interest rate is 8% compounded annually, how much will the first payment cases be? If the man decides to pay annually with 8 equal payments with the first payment to be madeafter 4 years, what will be the amount of the annual payment? Construct the cash flow diagram for both cases.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.Suppose that Anna's college education would cost around $500,000 when they enter college in 15 years. At present, She have $100,000 to invest.What annual interest must she earn on her investment to cover the cost
- Suppose that $12,000 is placed in a bankaccount at the end of each quarter over the next 15years. What is the future worth at the end of 15 yearswhen the interest rate is 8.5% compounded at thegiven intervals?(a) Quarterly(b) Monthly(c) ContinuouslySuppose that an oil well is expected to produce 1,200,000 barrels of oil during its firstyear in production. However, its subsequent production (yield) is expected to increaseby 9% over the previous year's production. The oil well has a proven reserve of10,500,000 barrels. (a)Suppose that the price of oil is expected to be $120 per barrel for the next six years.What would be the present worth of the anticipated revenue stream at an interest rateof 10% compounded annually over the next six years?(b)Suppose that the price of oil is expected to start at $120 per barrel during the firstyear, but to increase at the rate of 3% over the previous year's price. What would bethe present worth of the anticipated revenue stream at an interest rate of 10%compounded annually over the next six years?(c)Consider part (b) again. After three years' production, you decide to sell the oil well.What would be a fair price?1. Suppose that $100 is invested for five years at an interest rate of 8% per year, compounded annually. How much will be in the account at the end of five years? 2. Suppose that an investor wishes to deposit an amount now so that in 30 years $1,000,000 will be in an account that pays 10% interest per year, compounded annually. What amount must be deposited now? 3. How many years are required for an investment to double in value at 10% interest? 4. Suppose that an investor wishes to deposit an amount now so that in 20 years there will be $50,000 in an account that pays 7% interest, compounded annually. What amount must be deposited now?
