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What nominal rate compounded quarterly can be charged to a payment at a nominal interest rate of 12% compounded continuously?
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- (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?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 effective interest rate per payment period for an interest rate of 12% compounded monthly when the payment is quarterly ? Select one: a.0.06 b. 0.5 c. 0.12 d. 0.4 e.0.03
- Estimate the annual percent rate for the add on loan Using the given number of payments and annual interest-rate. Use the formula APR = 2nr/n+1 N= 48; R= 8% APR=???What happens if we calculate the NPW of the loan transaction at its rate ofreturn (10% )?Answer the following Compound Interest problem using the provided formula ONLY. Show your complete solution. 7. Compound Interest A. If the sum of P 12,000 (pesos) is deposited in an account earning interest rate of 9% compounded quarterly, what will it become after 1 year? B. In the previous problem, what is the effective rate? C. What is then the equivalent nominal interest rate if compounded monthly?
- Suppose you have a loan of amount P, and you plan to pay off the debt in10 equal annual installments. Suppose the annual compounding rate is r. What is thepresent (t = 0) value of the 7th installment? (Express your answer in terms of thevariables in the problem P and r and simplify your answer.)Kindly provide a CLEAR and COMPLETE solution.How long will it take money to triple itself if invested at (9/100)% compounded quarterly? What is the effective rate of interest?Given an interest rate of 6.5 percent per year, what is the value at date t = 8 of a perpetual stream of $900 payments with the first payment at date t = 17?
- 3) An interest rate of 5% compounded quarterly is equivalent to what rate compounded monthly?What is the nominal annual interest rate if the effective annual rate is 5.5% and compounding is continuous?If the compounding frequency is monthly and the discount factor=0.62026, what is the value of the corresponding annual interest rate? What is the corresponding continuous compounding annual interest rate if the discount factor remains at 0.62026?