Chris receives a portion of his income from his holdings of interest-bearing U.S. government bonds. The bonds offer a real interest rate of 4.5% per year. The nominal interest rate on the bonds adjusts automatically to account for the inflation rate. The government taxes nominal interest income at a rate of 10%. The following table shows two scenarios: a low-inflation scenario and a high- inflation scenario. Given the real interest rate of 4.5% per year, find the nominal interest rate on Chris's bonds, the after-tax nominal interest rate, and the after-tax real interest rate under each inflation scenario. Inflation Rate Real Interest Rate Nominal Interest Rate After-Tax Nominal Interest Rate (Percent) (Percent) (Percent) (Percent) 3.0 4.5 9.5 4.5 Compared with lower inflation rates, a higher inflation rate will nominal interest income. This tends to saving, thereby After-Tax Real Interest Rate (Percent) the after-tax real interest rate when the government taxes the quantity of investment in the economy and

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Chapter1: Making Economics Decisions
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Chris receives a portion of his income from his holdings of interest-bearing U.S. government bonds. The bonds offer a real interest rate of 4.5% per year. The nominal interest rate on the bonds adjusts automatically to account for the inflation rate.

The government taxes nominal interest income at a rate of 10%. The following table shows two scenarios: a low-inflation scenario and a high-inflation scenario.

**Scenario Table:**

| Inflation Rate (Percent) | Real Interest Rate (Percent) | Nominal Interest Rate (Percent) | After-Tax Nominal Interest Rate (Percent) | After-Tax Real Interest Rate (Percent) |
|--------------------------|------------------------------|---------------------------------|------------------------------------------|----------------------------------------|
| 3.0                      | 4.5                          |                                 |                                          |                                        |
| 9.5                      | 4.5                          |                                 |                                          |                                        |

**Task:**

Given the real interest rate of 4.5% per year, find the nominal interest rate on Chris's bonds, the after-tax nominal interest rate, and the after-tax real interest rate under each inflation scenario.

**Additional Explanation:**

Compared with lower inflation rates, a **higher inflation rate** will ______ the after-tax real interest rate when the government taxes nominal interest income. This tends to ______ saving, thereby ______ the quantity of investment in the economy and ______ the economy’s long-run growth rate. 

(Blanks can be filled with relevant insights based on the data analysis.)
Transcribed Image Text:Chris receives a portion of his income from his holdings of interest-bearing U.S. government bonds. The bonds offer a real interest rate of 4.5% per year. The nominal interest rate on the bonds adjusts automatically to account for the inflation rate. The government taxes nominal interest income at a rate of 10%. The following table shows two scenarios: a low-inflation scenario and a high-inflation scenario. **Scenario Table:** | Inflation Rate (Percent) | Real Interest Rate (Percent) | Nominal Interest Rate (Percent) | After-Tax Nominal Interest Rate (Percent) | After-Tax Real Interest Rate (Percent) | |--------------------------|------------------------------|---------------------------------|------------------------------------------|----------------------------------------| | 3.0 | 4.5 | | | | | 9.5 | 4.5 | | | | **Task:** Given the real interest rate of 4.5% per year, find the nominal interest rate on Chris's bonds, the after-tax nominal interest rate, and the after-tax real interest rate under each inflation scenario. **Additional Explanation:** Compared with lower inflation rates, a **higher inflation rate** will ______ the after-tax real interest rate when the government taxes nominal interest income. This tends to ______ saving, thereby ______ the quantity of investment in the economy and ______ the economy’s long-run growth rate. (Blanks can be filled with relevant insights based on the data analysis.)
Expert Solution
Step 1: Define Nominal Interest Rate:

The nominal interest rate refers to the interest rate stated on a loan or investment without considering inflation. It signifies the actual perce­ntage of interest paid or e­arned.

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