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- If an asset declines in value from 5,000 to 3,500 over nine years, what is the mean annual growth rate in the assets value over these nine years?13 Suppose that the Duration of Assets (DA) is 5 years and the duration of liabilities (DL) is 3 years. The current market value of assets is 100 million pounds and the market value of liabilities is 80 million pounds. What would be the effect (loss or gain) on the market value of equity (dE) if interest rates increase from 5% per annual. to 7% per annual?An investor will receive Shs 20,000, Shs 15,000 and Shs 30,000 at the end of years one, two and three from today respectively and leave a balance of Shs 1,000. If the rate of interest during years one and three is 8 % per annum and 13% per annum respectively, and the present value of the cashflows is Sha 60,000, what is the rate of interest in year two
- What is the present value of a 15 year investment amounting to Ᵽ 45,670 if the prevailing interest is 2.5%? Based on Item No. 1 compute for the present value of Ᵽ 45,670 in 20, 22 and 25 years if the interest rates are 5.5%, 6.8% and 9.80% respectively.assume that the average duration of first national bank's assets is four years, while the average duration of its liabilities is three years. Assuming that its assets equal its liabilities, then a 5 percentage point increase in interest rates will cause the net worth of first national to increase by ___% (put a negative sign if it is a decrease) of the total original asset value.Consider the followingalternatives: i. $120 received in one year ii. $220 received in five years iii. $350 received in 10 years a. Rank the alternatives from most valuable to least valuable if the interest rate is 7% per year. b. What is your ranking if the interest rate isonly 2% per year? c. What is your ranking if the interest rate is 14% per year?
- Suppose S500 is invested at 4% compounded quarterly. (a) How long will it take the investament to accumulate to $750 if the exact method for accumulation is in effect? (b) How long will it take the investment to accumulate to $750 if the practical method for accumulation is in effect? Be sure to us linear interpolation! (e) What anmual effective interest rate must 8500 be invested at to accumulate to S750 in 10 years?(a) What is the amount of interest at the end of 2 years on $450 principal for a simple interestrate of 10% per year?(b) Find the principle if the interest amount at the end of 2.5 years is $450 for a simple interestrate of 10% per year.(c) An investment of $50,000 is proposed at an interest rate of 8%. What is the future amountin 10 years? Consider both the simple and compound interests.(d) What is the present worth of $1000 for 6 years, if money is compounded 10% annually.(e) How many years will it take for an investment to double itself if the interest rate is 10%?*Using Matlab* The current amount A of a principal P invested in a savings account paying an annual interest rate r is given by A = P(1+r/n)^(nt) where n is the number of times per year the interest is compounded. For continuous compounding, A = Pe^(rt). Suppose $10,000 is initially invested at 2.5 percent (r = 0.025). a. Plot A versus t for 0 ≤ t ≤ 20 years for four cases: continuous compounding, annual compounding (n = 1), quarterly compounding (n = 4), and monthly compounding (n = 12). Show all four cases on the same subplot and label each curve. On a second subplot, plot the difference between the amount obtained from continuous compounding and the other three cases. b. Redo part a, but plot A versus t on log-log and semilog plots. Which plot gives a straight line?
- "Assume that the interest rate is 8.5% per year and you expect to receive the following stream of annual cash flows (The year 0 cash flow occurs today and the year 4 cash flow occurs exactly 4 years from today): (Year 0: $15,100); (Year 1: $21,100); (Year 2: $12,700): (Year 3: $19,250): (Year 4: $9,550); What is the current Present Value (PVO) of the stream of cash flows?" a)"$68,013- b)"$67,297" c)"$77,700 d)"$62,025" e)$64,399 f)$68,643"Suppose that an amount in Kina, is invested in a private financial institution, with interest compounded continuously at 8% per year. a). Write the equation in terms of P0 and 0.08 where P0 is the starting amount invested. And the final balance in the account is denoted with variable P b). Suppose that K2000 is invested. What is the total amount in the account after 3years? c). How many years will it take to have more then the invested amountSelect the correct answer, explain What interest will produce a capital of $ 59,000.00 in 1 year 4 months at 21.5% per year? A. $ 14,333.33 B. $ 13,433.33 C. $ 13,580.00 D. $ 14,530.00
