Question

In: Finance

Problem 1. Calculate the nominal rate of interest given the following (you must show the formula):...

Problem 1. Calculate the nominal rate of interest given the following (you must show the formula):

The real rate of interest = 2%

Expected Inflation = 4%

The Risk Free rate = 6%

All risk factors = 3%

Solutions

Expert Solution

Calculate the nominal rate of interest?

Answer: 6.08%

Working

Formula for calculating nominal rate of interest is as follows

Nominal rate of interest       = (1 + Real rate of interest) * (1 + Expected Inflation) – 1

                                                = (1 + 0.02) * (1 + 0.04) – 1

                                                = (1.02) * (1.04) – 1

                                                = 0.0608

                                                = 6.08%

Note: Information provided in the question

Real rate of interest = 2% (i.e. 0.02)

Expected Inflation = 4% (i.e. 0.04)


Related Solutions

You are given a loan with a nominal interest rate of 5%. You must pay back...
You are given a loan with a nominal interest rate of 5%. You must pay back this loan one year from now. Over the next year inflation is at 4%. In real terms what is the effective interest rate you must pay the loan back at after adjusting for inflation?
Given a nominal interest rate of 6 percent, in which of the following cases would you...
Given a nominal interest rate of 6 percent, in which of the following cases would you earn the lowest after tax real rate of interest? a) inflation is 4 percent, the tax rate is 5 percent. b) inflation is 3 percent , the tax rate is 20 percent. c) inflation is 2 percent, the tax rate is 30 percent. d) The after tax real interest rate is the same for all of the above.
Given a nominal interest rate of 6.5% compounded semi-annually, compute: a) The equivalent nominal rate of...
Given a nominal interest rate of 6.5% compounded semi-annually, compute: a) The equivalent nominal rate of discount compounded quarterly b) The equivalent constant force of interest
The nominal exchange rate is the nominal interest rate in one country divided by the nominal interest...
The nominal exchange rate is the nominal interest rate in one country divided by the nominal interest rate in the other country. the ratio of a foreign country's interest rate to the domestic interest rate. rate at which a person can trade the currency of one country for another. the real exchange rate minus the inflation rate.
Define the nominal interest rate. How is the nominal interest related to the real interest rate?...
Define the nominal interest rate. How is the nominal interest related to the real interest rate? Why can we think of 1+ rt , where rt is the real interest rate, as the relative price of consumption today in terms of consumption in the future?
You are given: (i.) Fund A accumulates at a nominal interest rate of 9% convertible monthly....
You are given: (i.) Fund A accumulates at a nominal interest rate of 9% convertible monthly. (ii.) Fund B accumulates at a nominal discount rate of 12% convertible semi-annually. (iii.) At the end of 5 years, the total amount in the two funds is 1000. (iv.) At the end of 2 years, the amount in Fund A equals the amount in Fund B. Let X be the initial amount in Fund A and Y the initial amount in Fund B....
The formula for the amount A in an investment account with a nominal interest rate r at any time t is given by A(t) = a(e)rt, where a is the
The formula for the amount A in an investment account with a nominal interest rate r at any time t is given by A(t) = a(e)rt, where a is the amount of principal initially deposited into an account that compounds continuously. Prove that the percentage of interest earned to principal at any time t can be calculated with the formula I(t) = ert − 1.  
nominal interest rate
nominal interest rate
Given the nominal interest rate of 14​% and the expected inflation of 11​%, then the value...
Given the nominal interest rate of 14​% and the expected inflation of 11​%, then the value of the real interest rate is nothing​%. With the real interest rate equal to 6​% and the expected inflation equal to 3​%, then the value of the nominal interest rate is nothing​%. A lender prefers a ▼ higher lower real interest rate while a borrower prefers a ▼ lower higher real interest rate.
(a) Calculate the effective annual rate (EAR) for each, given the nominal rate of 12% (APR)...
(a) Calculate the effective annual rate (EAR) for each, given the nominal rate of 12% (APR) and the following compounding frequencies: (I) quarterly (II) monthly (III) daily. (b) Calculate the nominal rate (APR) for each, given the effective annual rate of 12% (EAR) and the following compounding frequencies: (I) quarterly (II) monthly (III) daily. (c) Calculate the periodic rate in percent for each, given the nominal rate of 12% (APR) and the following compounding frequencies: (I) quarterly (II) monthly (III)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT