Question

Suppose that the one-year real interest rate in period 0 is 12% and that the inflation rate is 4.5%. So the nominal interest rate is?

234

likes
1170 views

Answer to a math question Suppose that the one-year real interest rate in period 0 is 12% and that the inflation rate is 4.5%. So the nominal interest rate is?

Expert avatar
Seamus
4.9
99 Answers
1 + i = (1 + 0.12)(1 + 0.045)

1 + i = 1.12 \cdot 1.045

1 + i = 1.1694

i = 1.1694 - 1

i = 0.1694

i \approx 0.1704 \quad \text{or} \quad 17.04\%

The nominal interest rate, given a real interest rate of 12% and an inflation rate of 4.5%, is approximately 17.04%.

Frequently asked questions (FAQs)
Question: In a triangle ABC, if angle A measures 60 degrees and side AB is 5 units long, what is the length of side AC?
+
Find the local extrema of the function f(x) = 2x^3 - 3x^2 + 4x - 1.
+
What is the smallest positive integer solution to the equation x^n + y^n = z^n, where n is greater than 2?
+
New questions in Mathematics
A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.
A software company incurs a cost of $50 per license sold plus $5,000 in fixed costs. How many licenses should you sell to minimize total costs?
A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?
90 divided by 40
Let I βŠ‚ R be a bounded and nonempty interval. Show that there are numbers a, b ∈ R with a ≀ b and I =[a,b] or I =[a,b) or I =(a,b] or I =(a,b)
Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.
Find the root of x^4-10x^ 5=0 using Newton's method, with a precision of the smallest positive root.
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
41/39 - 1/38
The equation of the straight line that passes through the coordinate point (2,5) and is parallel to the straight line with equation x 2y 9 = 0 is
What is 28 marks out of 56 as a percentage
Express the trigonometric form of the complex z = -1 + i.
17. A loan for $104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
A 20-year old hopes to retire by age 65. To help with future expenses, they invest $6 500 today at an interest rate of 6.4% compounded annually. At age 65, what is the difference between the exact accumulated value and the approximate accumulated value (using the Rule of 72)?
The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is acceptable.
4m - 3t + 7 = 16
For how long does the principal amount of €7,537 bring the same interest as the principal amount of €12,345 invested for 8 months? Interest calculation is simple and decursive.
-1/3x+15=18
Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.
f(x)= 9-x^2 find (f(x+h)-f(x) )/h