Your liabilities consist of $60,000 coming due in one year and $40,000 coming due in three years. The market interest rate is 7%. What is the convexity of your liabilities? 4.144 O 4.244 3.944 4.344
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- Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future value be larger or smaller if we compound an initial amount more often than annually—for example, every 6 months, or semiannually—holding the stated interest rate constant? Why? What is the future value of $100 after 5 years under 12% annual compounding? Semiannual compounding? Quarterly compounding? Monthly compounding? Daily compounding? What is the effective annual rate (EAR or EFF%)? What is the EFF% for a nominal rate of 12%, compounded semiannually? Compounded quarterly? Compounded monthly? Compounded daily?What is the Debt Coverage Ratio assuming a $267,500 NOI/Cash Flow, a $3,500,000 loan with a 4.25% interest rate and 30 year amortization compounded monthly? Round to nearest hundredth.Assume you invest $1 000 at the end of this year, at the end of the second year, and at the end of the third year. How much will you have at the end of the fourth year if interest rates are 5% p.a.? Select one: a. $3,405.54 b. $3,310.12 c. $3,215.41 d. $3,100,21
- What amount of money will mature to $63,750 in 3 years and 8 months at the interest rate of 6.75% p.a.? $What is the equivalent present value of the following series of payments: ₱ 5,000 the first year, ₱ 5,500 the second year, and ₱ 6,000 the third year? The interest rate is 8%, compounded annually. a. ₱ 15,904.22 b. ₱ 13,590.43 c. ₱ 12,573.90 d. ₱ 14,107.99Determine the present value of a financial instrument that pays $18,500 in 10 years if instruments of similar risk pay 6% per year.
- An investor has a principal amount of $P. If he desires a payout (return) of 0.1P each year, how many years will it take to deplete an account that earns 8% per year? 0.1P = P(A/P, 8%,N), so N ∼=21 years. A payout duration table can be constructed for select payout percentages and compound interest rates. Complete the following table. (Note: table entries are years.) Summarize your conclusions about the pattern observed in the shown table.Suppose you invest $3,800 today in an account that earns a nominal annual rate (inom) of 12 percent, with interest compounded quarterly. How much money will you have after 12 years? a. $5,417.89 b. $15,702.56 c. $14,804.71 d. $875,484.95 e. $51,072.00Suppose that the 9-month and 12-month LIBOR rates are 4% and 4.2%, respectively. What is the value of an FRA where 5% is received and LIBOR is paid on £1 million for the quarterly period? All rates are quarterly compounded and expressed as per annum. Assume that LIBOR is used as the risk-free discount rate. Select one: a. £478.115 b. £422.870 c. £479.062 d. £426.132