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The image you uploaded contains a problem regarding a nominal interest rate with daily compounding. Let's break it down:

1. **Given nominal rate**: \( 14 \frac{5}{8} \% \) compounded daily.
   - Convert \( 14 \frac{5}{8} \% \) to a decimal:  
   \[
   14 \frac{5}{8} = 14 + \frac{5}{8} = 14 + 0.625 = 14.625\%
   \]
   Therefore, the nominal interest rate is 14.625%.

2. **Part (a)**: Find the annual yield corresponding to the given nominal rate.  
   The formula for annual yield (Effective Annual Rate, EAR) is:
   \[
   \text{EAR} = \left(1 + \frac{r}{n}\right)^n - 1
   \]
   Where:
   - \( r \) is the nominal interest rate as a decimal (14.625% or 0.14625),
   - \( n \) is the number of compounding periods per year (365 for daily compounding).

3. **Part (b)**: Interpret the annual yield corresponding to the given nominal rate.  
   The question asks for the simple interest equivalent, which refers to the nominal interest rate expressed in terms of a simple annual interest rate. This can be compared with the compounded interest, which we find in part (a).

Let's proceed to calculate these values for both parts (a) and (b). I will compute the effective annual yield (EAR) and then compare it with the nominal rate.The annual yield (Effective Annual Rate, EAR) corresponding to the nominal rate of \( 14 \frac{5}{8} \% \) compounded daily is approximately **15.75%**.

Next, I'll compute the simple interest equivalent as requested in part (b), which is simply the nominal rate provided, but interpreted as the equivalent simple interest rate.The given compound rate is equivalent to **14.63%** simple interest.

To summarize:
- **(a)** The annual yield (effective annual rate) is approximately **15.75%**.
- **(b)** The equivalent simple interest rate is **14.63%**.

Would you like more details or explanations on these calculations?

Here are five related questions:
1. How does the effective annual rate (EAR) differ from nominal interest rates?
2. What happens to the EAR if the number of compounding periods increases?
3. How is simple interest different from compound interest?
4. Can you use the EAR formula for monthly or quarterly compounding rates?
5. Why is the EAR typically higher than the nominal rate with daily compounding?

**Tip**: Always remember, the more frequently interest is compounded, the higher the effective annual yield will be.

Consider the given nominal rate (14 5/8%) compounded daily. (a) Find the annual yield corresponding to the given nominal rate. (b) Interpret the annual yield corresponding to the given nominal rate and find the equivalent simple interest rate.

Learn how to calculate the annual yield (Effective Annual Rate) for a 14 5/8% nominal rate compounded daily, and interpret it as simple interest. This problem covers core finance concepts like compound interest, nominal rates, and the formula for the Effective Annual Rate (EAR).

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