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- Suppose that you’ve got $100 in a savings account earning 5% interest. How many years will it take to double? Give typing answer with explanation and conclusionEconomics 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.Find the present worth today in real value corresponding to the cur- rent values shown below for a 4 percent ination rate and a 4 percent interest rate. a. $400 three years from now b. $400 three years ago c. $10 next year d. $350 983 in 10 years from now e. £1 one thousand years ago the answer is 292 f. $1 000 000 000 three hundred years from now
- 1. Suppose that you invest $100. At 3% interest, how long does it take to double your money? To quadruple it?2. 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 costCompare the interest earned by $15,000 forten years at 8% simple interest with that earned bythe same amount for ten years at 8% compoundedannually.Property taxes in a particular district are 2% of thepurchase price of a home every year. If you just purchased a $150,000 home, what is the present value ofall the future property tax payments? Assume that thehouse remains worth $150,000 forever, property taxrates never change, and a 4% interest rate is used fordiscounting
- a) Suppose you put $350 into a bank account today. Interest is paid annually and the annual interest rate is 6 percent. What is the future value of the $350 after 4 years? b) Suppose you are deciding whether to buy a particular bond from your local municipality. If you buy the bond and hold it for 4 years, then at that time you will receive a payment of $10,000. Assume the interest rateis6percent. Underwhatcircumstanceswillyoubuythebond?Meaninguptowhatpriceareyou willing to pay.SHOW SOLUTIONS AND WRITE NEATLY THE FORMULA COMPOUND INTEREST What nominal rate compunded monthly will yiled an effective interest rate of 5.78% in 2 decimal places. INPUT the % sign9. In how many years will $1,500 yield an interest of 5200 at 2% simple interest?
- 2. You decide to lend your sister, who has never defaulted on a loan (ie. ρd =0), $1000 for one year. At the end of the year, she pays you $1050. What is the nominal interest rate you and your sister agreed upon? 2% 3% 4% 5%Exercise 2.3 at pg24: Say you barrowed $10,000 from a bank at 12% interest rate per year for aperiod of 10 years. How much will you have to pay back after 10 years, ifa. The bank charged you simple interest? b. The bank charged you compound interest?2. Assume a bond with the following characteristics: face value = $1000; maturity = 5 years; N yearly coupon payments = $100. a. If the current price of this bond is $850, state what the formula is to calculate the bond's yield to maturity and state the range of interest rates where the yield to maturity should fall b. If you purchased this bond at face value and held it for 1 year, when you resold it for $850, what is the bond's rate of return?